{"data":[{"id":1071,"title":"Euclid's Elements Redux","edition_statement":null,"volume":null,"copyright_year":2020,"ISBN10":"1977730035","ISBN13":null,"license":"Attribution-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"\"Euclid's 'Elements' Redux\" is an open textbook on mathematical logic and geometry based on Euclid's \"Elements\" for use in grades 7-12 and in undergraduate college courses on proof writing. Many problem solvers throughout history wrestled with Euclid as part of their early education including Copernicus, Kepler, Galileo, Sir Isaac Newton, Ada Lovelace, Abraham Lincoln, Bertrand Russell, and Albert Einstein. This edition is part of an effort to ensure that tomorrow's great thinkers will have that same privilege.","contributors":[{"id":5522,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Daniel","middle_name":null,"last_name":"Callahan","location":null,"background_text":"Daniel P Callahan, author and editor"}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":1049,"url":null,"year":null,"created_at":"2021-09-26T22:18:57.000-05:00","updated_at":"2021-09-26T22:18:57.000-05:00","name":"Sample"}],"formats":[{"id":2617,"type":"PDF","url":"https://archive.org/details/euclid-elements-redux_201809","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":2618,"type":"Hardcopy","url":"https://archive.org/details/euclid-elements-redux_201809","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":2706,"type":"eBook","url":"https://archive.org/details/euclid-elements-redux_201809","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":null,"textbook_reviews_count":0,"reviews":[],"url":"https://open.umn.edu/opentextbooks/textbooks/euclid-s-elements-redux?locale=es","updated_at":"2026-05-18T02:10:23.000-05:00"},{"id":434,"title":"Euclidean plane and its relatives","edition_statement":null,"volume":null,"copyright_year":2017,"ISBN10":null,"ISBN13":"9781974214167","license":"Attribution-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately one-third of the material used to be covered in high school, but not any more.The present book is based on the courses given by the author at the Pennsylvania State University as an introduction to the foundations of geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular,they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.","contributors":[{"id":4128,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Anton","middle_name":null,"last_name":"Petrunin","location":"Penn State","background_text":"Anton Petrunin. Professor of Mathematics at Penn State."}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":348,"url":"http://anton-petrunin.github.io/birkhoff/","year":2021,"created_at":"2018-09-07T12:22:39.000-05:00","updated_at":"2021-10-14T23:14:33.000-05:00","name":"Anton Petrunin"}],"formats":[{"id":712,"type":"PDF","url":"https://arxiv.org/pdf/1302.1630v19.pdf","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":713,"type":"Hardcopy","url":"https://www.amazon.com/Euclidean-plane-its-relatives-introduction/dp/1650229674","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"3.5","textbook_reviews_count":2,"reviews":[{"id":1752,"first_name":"Susan","last_name":"Hagen","position":"Senior Instructor","institution_name":"Virginia Tech ","comprehensiveness_rating":4,"comprehensiveness_review":"As the title implies, the book is a minimalist introduction to the Euclidean plane and its relatives. Much of Euclidean geometry is covered but through the lens of a Metric Space. The approach allows a faster progression through familiar Euclidean topics, but at times, that progression felt rushed. The development of the Neutral Geometry and the resulting hyperbolic plane was well written. There are other topics included such as affine, projective, and spherical geometries in the later chapters, but they are the weakest sections of the book. The last two chapters are on Geometric constructions and Area, which I would prefer to see earlier in the text. But to be fair, the book is written in a way that these chapters can be completed in different orders. There is a flow chart indicating the possible ways through the text. ","accuracy_rating":4,"accuracy_review":"I found no mathematical errors in the text. The first chapter introduces the notation used through out the text. The explanations were clear and concise, perhaps at times too concise. The first chapter does a nice job of developing the geometry intuitively, but after formalizing the introduced observations, the rest is written succinctly. The conversational tone of the first few chapters is exchanged for the more formal approach consisting of defining objects and proving theorems about those objects. While some students will excel with the format, others will struggle with the emphasis on the symbolic notation rather than text. ","relevance_rating":5,"relevance_review":"The book covers most of the standard geometry topics for an upper level class. The axiomatic approach to Euclidean geometry gives a more rigorous review of the geometry taught in high school. ","clarity_rating":4,"clarity_review":"The book is well written, though students may find the formal aspect of the text difficult to follow. The exercises are dispersed through out the text following the relevant theorems, with a few added “advanced exercises.”\n","consistency_rating":4,"consistency_review":"The author does an excellent job using the notation established in the first chapter throughout the text. However at times a few words interspersed within the notation would help clarify the ideas for students needing more explanation. \n","modularity_rating":5,"modularity_review":"The chapters are written so that once you've completed the first five chapters, you may progress through the remaining chapters in a variety of different paths, all of which are outlined in the overview using a flow chart. The sections on non-Euclidean geometry are rather short. The development of the Poincare’ disc model from inversive geometry is done very well. ","organization_rating":5,"organization_review":"The book is well organized. Each chapter builds from the previous, with the flow chart indicating other ways to progress through the book.","interface_rating":3,"interface_review":"The text is a standard black and white PDF file. There are no hyperlinks such as from the table of contents to the chapters, nor from the index to the terms, but everything is written clearly.","grammatical_rating":5,"grammatical_review":"I did not find grammatical errors in the text.\n","cultural_rating":5,"cultural_review":"I did not notice anything that was culturally insensitive or offensive.","overall_rating":9,"overall_review":"The geometry class I teach is required for mathematics education majors. One component I find missing is the inclusion of investigative problems using contemporary software such as GeoGebra (freeware) or Geometer’s sketchpad. However, there are some interactive java applets created using C.A.R. for students to work through on the author’s website. These problems involve completing constructions both from the Euclidean perspective, such as constructing the center of the given circle or the tangent circle to a given circle through a given point, and non-Euclidean perspective such as constructing the h-perpendicular from a given point or the tangent h-line to the given h-circle passing through a given point. Upon successful completion, students get a “Well Done” and email a screenshot of the completed work to the author. \nThe biggest strength of this text is the axiomatic approach used by the author to introduce the different geometries through the axioms satisfied. I would like to use the approach in my course. But given the students who populate the course, I am still trying to decide whether the book is appropriate\n","created_at":"2018-02-01T18:00:00.000-06:00","updated_at":"2018-02-01T18:00:00.000-06:00"},{"id":1818,"first_name":"Sarah","last_name":"Birdsong","position":"Lecturer","institution_name":"University of North Carolina at Charlotte","comprehensiveness_rating":2,"comprehensiveness_review":"The textbook presents a formal axiomatic system in which classical Euclidean geometry can be interpreted.  However, it doesn't provide any details or even examples of the classical (eg: Hilbert, etc) axioms.  The few examples and discussions that seem, from the table of contents, to cover these standard formalizations, are treated as asides and are not given appropriate context (historical or otherwise).  \n\nThe intent of the first portion of the textbook (chapters 1 through 7) appears to be to present or reinterpret classical results within the framework of a Birkhoff style axiomization.  In fact, the opening of chapter 7 states,\n\n\"We discuss the most basic results in triangle geometry, mostly to show that we have developed enough machinery to prove things.\"\n\nThis quote refers to the theorems, lemmas, and propositions from the previous chapters.  In these prior chapters, the theorems, lemmas, and propositions serve to reinterpret intuitively clear elementary facts about Euclidean geometry within the awkwardly presented Birkhoff style axiomization.  It was as though the textbook wanted to be an analysis book with the concepts re-expressed in terms of classical geometry.\n\nThe level of abstraction used is unnecessary for the majority of the material covered and needlessly complicated for a standard undergraduate upper-level foundations of geometry course.","accuracy_rating":2,"accuracy_review":"It's difficult to fairly asses the accuracy of the textbook; the copious grammatical and spelling errors leave the reader constantly guessing what the author actually meant to convey. ","relevance_rating":1,"relevance_review":"The textbook appears to be simply formalized lecture notes.  Additionally, the manner in which they have been formalized makes the potential addition of material by people other than the author, extremely unlikely.","clarity_rating":1,"clarity_review":"The book is riddled with grammatical and spelling errors as well as symbolic ambiguities.  This makes it difficult to access the implicit content because it is unappealing to read. Moreover, the author assumes a condescending tone throughout, while at the same time omitting crucial contextual details a student would require to correctly interpret the material.","consistency_rating":4,"consistency_review":"The non-standard notation and terminology the author presents is consistently used.","modularity_rating":2,"modularity_review":"There are subsections and chapters as well as a given dependency graph that theoretically could be used to guide a course.  However, the chapters are extraordinarily interdependent, making it difficult to assess how the chapters could stand on their own without a lot of effort on the instructor's part.","organization_rating":1,"organization_review":"Topics seem presented in a stream-of-conscience style and lack an overall coherence that would make the book easy for anyone to use.","interface_rating":5,"interface_review":"No significant formatting issues.  However, the formatting used for the theorems and definitions is awkward, and some of the geometric symbols used are interpreted in a non-standard way.","grammatical_rating":1,"grammatical_review":"The textbook is riddled with grammatical and spelling errors.  These errors are systemic and often repeat throughout the chapters.","cultural_rating":5,"cultural_review":"No noticeable issues. ","overall_rating":5,"overall_review":"I was considering using this book for the upper level undergraduate foundations of geometry class that I teach.  However, after reading though the book, it doesn't seem as though this text would work effectively as a textbook for that course.  Instead, it reads more as lecture notes or possibly as a supplemental text.","created_at":"2018-02-01T18:00:00.000-06:00","updated_at":"2018-02-01T18:00:00.000-06:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/euclidean-plane-and-its-relatives?locale=es","updated_at":"2026-05-18T02:06:03.000-05:00"},{"id":488,"title":"Trigonometry","edition_statement":null,"volume":null,"copyright_year":2016,"ISBN10":null,"ISBN13":null,"license":"Attribution-NonCommercial-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook.","contributors":[{"id":4288,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Ted","middle_name":null,"last_name":"Sundstrom","location":"Grand Valley State University","background_text":"Ted Sundstrom is a mathematics professor at Grand Valley State University in Allendale, MI."},{"id":4289,"contribution":"Author","primary":false,"corporate":false,"title":null,"first_name":"Steven","middle_name":null,"last_name":"Schlicker","location":"Grand Valley State University","background_text":"Steven Schlicker is a mathematics professor at Grand Valley State University in Allendale, MI."}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":429,"url":"http://scholarworks.gvsu.edu/books/12/","year":null,"created_at":"2018-09-07T12:22:39.000-05:00","updated_at":"2018-09-07T12:22:39.000-05:00","name":"Grand Valley State University"}],"formats":[{"id":736,"type":"PDF","url":"https://scholarworks.gvsu.edu/books/12/","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"4.5","textbook_reviews_count":2,"reviews":[{"id":1951,"first_name":"Carolyn ","last_name":"Goodman","position":"Assistant Professor Educator of Math","institution_name":"University of Cincinnati, Clermont College","comprehensiveness_rating":5,"comprehensiveness_review":"This text was created for a three-credit trigonometry course (MATH123-Trigonometry) at Grand Valley State University. Other than conic sections, the text covers everything that is typically included in a first trigonometry course. However, the comprehensiveness of this text exceeds other texts in many important ways. Trigonometric concepts are developed in a very thorough, patient and coherent manner that most certainly speaks to students, while developing their mathematical understanding and analytical thinking.  It takes the time to engage the reader in the thought process using links to well developed and integrated diagrams, Geogrebra applets, worksheets, and YouTube screencast videos (developed by Grand Valley State University). The beginning review activities, focus questions, progress checks, and sections summaries provide direction and support active and deep learning. Answers and hints to selected exercise and geometric facts about circles and triangles are included in the Appendices. \n\nThis text takes a very interesting reverse chronological approach to trigonometry. Trigonometric functions are introduced as circular functions and later as trigonometric functions. I am now convinced that this provides a more holistic perspective of trigonometry and better clarifies many concepts such as the dimensionless nature of radians. \n\n","accuracy_rating":5,"accuracy_review":"I did not note any errors or bias in the content of the book. ","relevance_rating":5,"relevance_review":"The textbook begins with the most relevant applications of trigonometry, but is not written in a manner that will require necessary updates. If needed, it could be easily updated. The author's invite feedback, especially from students using the text. ","clarity_rating":5,"clarity_review":"The text makes even the most complex of the trigonometric concepts clear and accessible to students. It develops concepts and the definitions of terminology so that students can both understand and remember them. It includes progress checks for students to check their understanding. Section summaries list important definitions and results proven in the section.\n\nThe disciplined and motivated student could learn trigonometry from this text on their own. Some students may need further clarification of the reading.  ","consistency_rating":5,"consistency_review":"The text is internally consistent in terms of terminology and framework. Each of the beginning activities reviews prior mathematical work necessary for the new section. The answers to these beginning activities are developed in the material later in the section. Each section has progress checks with answers to these checks in Appendix A. Each section is summarized listing important definitions and results proven in the section. ","modularity_rating":5,"modularity_review":"This text is best read from the beginning to the end to fully understand how ideas are developed. However, each chapter can stand on its own. Each reading section is fairly small and the text within each section is broken up into small chunks to keep the reader engaged, active, and interested. ","organization_rating":5,"organization_review":"This text is very organized, well structured, and flows very well. It is particularly strong in its clear and logical development of topics. There is the right amount of rhythm and variety to keep the reader engaged. It uses language that is more conversational and approachable than most mathematical texts. ","interface_rating":5,"interface_review":"There were a few links to figures that did not seems to take me exactly to the figure, but at least close to them. Otherwise, I did not note any interface issues, navigation problems, distortion of images, or any other distracting or confusing display features. ","grammatical_rating":5,"grammatical_review":"I noted only a couple of grammatical errors in Progress Check 1.2 and on page 168 where a word or two seemed to be missing. ","cultural_rating":5,"cultural_review":"This text is not culturally insensitive in any way. Rather the variety of resources and beginning activities engage students with different learning styles and mathematical backgrounds. ","overall_rating":10,"overall_review":"I think this text is excellent. It uses a guided approach and has a conversational, interesting, and engaging tone that promises to effectively reach all learners from the serious math student to those with math anxiety. \n\nI will definitely make this text available to my students to get their feedback and hope to use it as the main text in the future. It could greatly facilitate teaching and learning both in online and traditional courses. \n","created_at":"2018-03-27T19:00:00.000-05:00","updated_at":"2018-03-27T19:00:00.000-05:00"},{"id":2721,"first_name":"Caleb","last_name":"Holloway","position":"Assistant Professor","institution_name":"West Virginia University Institute of Technology","comprehensiveness_rating":4,"comprehensiveness_review":"While other texts may include more topics, my experience is that there's never enough time in the semester to get to them all. This text covers circular and right-triangle trigonometry, analytic trigonometry (identities and trigonometric equations), and applications, and spends just enough time on vectors, complex numbers, and polar coordinates to neatly round out the semester.","accuracy_rating":5,"accuracy_review":"I have not encountered any errors during my review of the book.","relevance_rating":5,"relevance_review":"Trigonometry is vital to mathematics and engineering, as well as to many of the natural sciences. I don't see that changing anytime soon. The applications in this book (of which there are no few) are relevant to these disciplines.","clarity_rating":5,"clarity_review":"The tone of this book is very comfortable, almost conversational, yet it is not lacking in the necessary mathematical rigor. It presents ideas and techniques in an appropriate way without sounding aloof. New ideas are introduced by relating them to familiar ideas, and students are guided into using their own reasoning and thereby developing their own understanding of new concepts. Each section typically starts with an example or a problem for motivating the following discussion.","consistency_rating":4,"consistency_review":"One of the major features of this book are its Progress Checks, which are essentially example problems that the students work out for themselves. These Progress Checks are usually constructed so as to guide the student's learning of a new topic. Occasionally, however, a Progress Check amounts to one of two things: either the repetition of a technique that was just demonstrated in the text, or a problem in which the student is expected to develop a new idea for themselves with too little guidance from the book. The teacher should be aware of where such issues occur and design class instruction of affected topics accommodatively.","modularity_rating":4,"modularity_review":"I think this book is as modular as a trigonometry textbook can be. It's certainly well organized. I would caution against being too free with reorganizing the text. For one, topics in the text typically build off those that came before. This is by necessity. For another, research indicates that students develop a more cohesive understanding of trigonometry if circular trigonometry is studied before right-triangle trigonometry, and the connection between the two made explicit, as this book does. So, regardless of how modular this book may or may not be, I believe it is in the teacher's best interest to present topics in the order laid out by the book, as much as possible.","organization_rating":5,"organization_review":"The book begins by looking fairly in depth at angle measure, a topic which is often glossed over in trigonometry texts. The focus for the first several sections is on the sine and cosine functions, so that students can develop a thorough understanding of how those functions behave before turning attention to the other four trig functions, all of which can be viewed as derivative of the sine and cosine.\r\n\r\nCircular trigonometry is covered before right-triangle trig, which, as mentioned before, encourages a more holistic understanding of trig than the reverse approach. In many textbooks, vectors are withheld until later in the book, where they are lumped in with other \"applications\" of trigonometry. Here, they are presented immediately following the traditional topics of right-triangle trig, which I like.\r\n\r\nThe remaining topics--trig identities, trig equations, and complex numbers--are covered in the standard order. A comprehensive overview of the algebra of complex numbers is presented prior to the trigonometry of complex numbers.","interface_rating":5,"interface_review":"The book was easily legible, and all charts and diagrams were clear and easy to read. The book has many links to external applets, all of which (that I checked) worked.","grammatical_rating":5,"grammatical_review":"There were no grammatical errors that I noticed.","cultural_rating":5,"cultural_review":"This book is appropriate for any student who might use it, regardless of background.","overall_rating":9,"overall_review":"In many respects, this book conforms to current understanding of trigonometry education. A significant amount of time is spent early developing students' understanding of angles and angle measure. Students learn not only the process of measuring angles, but also the nature of angles themselves. Both radian and degree measure are presented in terms of subtended arcs, so that students can move between the two measures fluidly. \r\n\r\nLater, transformations of trig functions (typically a difficult subject for students) is studied by focusing on the arguments of functions and by invoking function composition. This example is typical of the book's healthy tendency to incorporate old concepts into new, but it also avoids the common trap of presenting transformations in purely geometric terms, whereby students come to understand a graphs as a \"shape\" and not the trace of a relationship. This book's approach instead encourages a \"process view\" of functions by attending to the relationship between input and output, and how that relationship changes when two functions are composed.\r\n\r\nThis book is not perfect. I would like a greater emphasis to be placed on the covariation between input and output of trig functions, particularly when it comes to the graphs of the sine and cosine and how the shapes of those graphs are determined by the ways in which input and output change together. But overall, this book does a better job of presenting trigonometry to students than most books I've seen, whether open or retail.","created_at":"2019-04-01T14:08:23.000-05:00","updated_at":"2019-04-01T14:08:23.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/trigonometry?locale=es","updated_at":"2026-05-18T02:06:04.000-05:00"},{"id":611,"title":"Trigonometry","edition_statement":null,"volume":null,"copyright_year":2014,"ISBN10":null,"ISBN13":null,"license":"Attribution-NonCommercial-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.","contributors":[{"id":4679,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Richard","middle_name":"W.","last_name":"Beveridge","location":null,"background_text":"Richard W. Beveridge"}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"}],"publishers":[{"id":589,"url":"https://drive.google.com/file/d/0B-J6TXqfqqmuNEpvNUw1dlh4ZlYtZWk1WlRSVlZ1U250cWVv/view","year":null,"created_at":"2018-09-16T13:17:40.000-05:00","updated_at":"2020-01-02T23:52:46.000-06:00","name":"Richard W. Beveridge"}],"formats":[{"id":1038,"type":"PDF","url":"https://drive.google.com/file/d/0B-J6TXqfqqmuNEpvNUw1dlh4ZlYtZWk1WlRSVlZ1U250cWVv/view","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"3.5","textbook_reviews_count":2,"reviews":[{"id":3397,"first_name":"David","last_name":"Busekist","position":"Instructor","institution_name":"Southeastern Louisiana University","comprehensiveness_rating":2,"comprehensiveness_review":"This is a text authored in 2014.  The material covers Right Triangle Trigonometry (angles, trig ratios, solving right triangles, applications), Graphing the Trigonometric Functions, Trigonometric Identities and Equations, and Law of Sines and Law of Cosines.\r\nThere is little formal explanation of the concept of Inverse Trigonometric Functions beyond referencing their existence and accessing them on the TI-83/84 calculator beginning in Solving Right Triangles (1.3).  There is no coverage or discussion of the graphs of the inverse trigonometric functions.\r\nThere is no coverage of vectors or their applications nor are there any real world applications of radians.\r\nIdentities and equations do not include any half-angle relationships.  Double angle and sum/difference of two angles are limited to the sine and cosine functions\r\nThere is a table of contents covering the basic concepts mentioned above but no glossary or index.","accuracy_rating":3,"accuracy_review":"There are no inaccuracies in the text that that could be found.\r\nWhen working with generating values of the six trigonometric functions, rationalizing the denominator is not mentioned nor is it implemented.  Radical values are allowed in denominators which in itself, is not an error but it is inconsistent with the mainstream of textbooks on the market today.","relevance_rating":2,"relevance_review":"The text covers real world applications that have been covered over and over in texts.  The vast majority of the text uses exercises that are not gender or culturally biased.  No mention of any personal names or mentions of genders beyond “a man” or “a woman” are present.\r\nThe scope of the topics would make it unlikely that this text could be used as a requirement to prepare students for a course in calculus.","clarity_rating":4,"clarity_review":"The text is not wordy nor is it phrased in a manner that makes it unreadable.  There are no innately technical terminologies involved in any application exercises.  There are places where the text leaves the reader asking for more detail.","consistency_rating":4,"consistency_review":"The material is presented in a very linear fashion with each topic building on previous topics.  Terminology is consistent and the framework of presentation is appropriate.","modularity_rating":4,"modularity_review":"The material is presented in a very linear fashion with each topic building on previous topics.  The only topic that doesn’t build on previous topics is the presentation of trigonometric graphs. With radian measurement introduced in the first chapter, the chapter on trigonometric graphs could be moved to the end of the text with no loss of continuity.","organization_rating":4,"organization_review":"With the singular missing concept of developing/explaining the inverse trigonometric functions, everything is presented clearly and logically.","interface_rating":3,"interface_review":"There are no real graphics to cause interface issues.  There are no links to external material, nor are there any graphic images that can be distorted.  Every diagram involving triangles, even in the applications, are “straight line” drawings.  This is a strictly “black and white” presentation that doesn’t challenge the imagination.","grammatical_rating":5,"grammatical_review":"There were no grammatical errors that were observed.  There was one contextual inaccuracy in that a \"guy wire\" is used to help anchor a tower or pole to prevent it from toppling against the effects of gravity.  One exercise has a \"guy wire\" being placed on the downhill side of a tower where it would be ineffective from an engineering standpoint.","cultural_rating":4,"cultural_review":"All references to people involve “a man” or “a woman” or “the people” with no names that could be construed to involve or disregard any specific race, ethnicity or culture.  It is neither inclusive nor exclusive.","overall_rating":7,"overall_review":"I could not use this text in a university environment.  It does not go deep enough into the associated concepts of trigonometry to make it applicable to a student was going to study calculus, physics or engineering.  It’s a very basic text and with some additional clarification could be used as an independent study course.  I’m not sure it even goes deep enough for a high school trigonometry offering.  Used in pieces, it could be used as part of a survey class such as “Topics of Mathematics.”","created_at":"2019-12-18T17:38:08.000-06:00","updated_at":"2019-12-18T17:38:08.000-06:00"},{"id":4086,"first_name":"Hansun","last_name":"To","position":"Professor of Mathematics","institution_name":"Worcester State University","comprehensiveness_rating":3,"comprehensiveness_review":"This textbook is a four-chapter comprehensive collection of Trigonometry topics including right triangle, graphing, identities of Trigonometric functions and Law of sines and cosines. This might be a good practical in-class discussions but has limited explanation to online self-study. There is no or limited discussion on topics of Trigonometric functions in unit circle approach and Inverse Trigonometric functions. The trigonometric functions can be defined in two different but equivalent ways: as functions of real numbers or angles. The two approaches are independent of each other. The author should be explained both approaches because the different approaches are required for different applications. On the other hand, Inverse Trigonometric functions should be discussed thoroughly with the concept of an inverse function with one-to-one relationship.","accuracy_rating":2,"accuracy_review":"I did not find any errors or content that was inaccurate, but skipping steps were found in examples.","relevance_rating":2,"relevance_review":"The author uses 2-3 examples for each section followed by section exercises. There are various real-world applications for each topic. As being Trigonometry is a prerequisite for Calculus, I rather have more direct examples than complicated applications.","clarity_rating":3,"clarity_review":"In the chapters which are not clearly explained, many examples omitted basic steps. It is somewhat hard to read without well-defined guidelines. The author also uses the acronyms, i.e., sohcahtoa without reasoning.","consistency_rating":4,"consistency_review":"This text is written systematic ways. Each chapter depends on the previous chapter and they are correlated one after another. The difficult examples are offered gradually increased and consistently presented with application exercises.","modularity_rating":4,"modularity_review":"The text is divided into sections and chapters that organized well which had flow that is straightforward to follow. But this text overly depends on the graphing calculator i.e., TI-83, computations. Special angles to find exact values and topics of Trigonometric functions in unit circle approach would be inserted after chapter 1.","organization_rating":4,"organization_review":"The organization is fine. All chapters are lineup correctly. There may not be a lot of examples with special angles.","interface_rating":3,"interface_review":"I found no animations, no external links nor graphing calculator demo.","grammatical_rating":5,"grammatical_review":"I found no grammatical errors.","cultural_rating":4,"cultural_review":"The author does not limit the discussion to just real-world applications.","overall_rating":7,"overall_review":"This text will give a brief concept of Trigonometry functions but not in depth. I recommend beginners who wants to learn what Trigonometry functions look alike. I do not recommend students if they want to use this textbook for prepare to move calculus.","created_at":"2020-06-25T16:01:10.000-05:00","updated_at":"2020-07-21T14:49:13.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/trigonometry-2014?locale=es","updated_at":"2026-05-18T02:06:23.000-05:00"},{"id":1097,"title":"Trigonometry","edition_statement":null,"volume":null,"copyright_year":2018,"ISBN10":null,"ISBN13":null,"license":"Free Documentation License (GNU)","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.","contributors":[{"id":5577,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Katherine","middle_name":null,"last_name":"Yoshiwara","location":"Pierce College","background_text":"Kathy Yoshiwara was born in Derby in the UK and grew up in Richmond, Virginia. She attended Michigan State University, where she studied Greek and mathematics. She did graduate work at UCLA and earned an MA in mathematics in 1977. She left UCLA in 1979 to join the faculty at Pierce College, where she taught for 33 years, retiring in 2013. In the 1998-1999 academic year she taught at Barnsley College in Yorkshire, England on a Fulbright teaching Award for Distinguished College or University Teaching of Mathematics from the Southern California Section of the MAA. In November 2003, she won the Teaching Excellence Award for the Western Region from the American Mathematical Association of Two-Year Colleges (AMATYC). She is married to Bruce Yoshiwara and benefits from his expertise in all things mathematical."}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":1076,"url":"https://yoshiwarabooks.org/","year":2021,"created_at":"2021-11-15T13:55:38.000-06:00","updated_at":"2021-11-17T12:57:43.000-06:00","name":"Bruce Yoshiwara"}],"formats":[{"id":2709,"type":"PDF","url":"https://yoshiwarabooks.org/trig.html","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":2710,"type":"Online","url":"https://yoshiwarabooks.org/trig/","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":2717,"type":"Hardcopy","url":"http://www.lulu.com/shop/katherine-yoshiwara-and-bruce-yoshiwara/trigonometry-part-i/paperback/product-23584802.html","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":null,"textbook_reviews_count":0,"reviews":[],"url":"https://open.umn.edu/opentextbooks/textbooks/trigonometry-2018?locale=es","updated_at":"2026-05-18T02:08:50.000-05:00"},{"id":610,"title":"College Algebra \u0026 Trigonometry","edition_statement":null,"volume":null,"copyright_year":2018,"ISBN10":null,"ISBN13":null,"license":"Attribution-NonCommercial-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.","contributors":[{"id":4678,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Richard","middle_name":"W.","last_name":"Beveridge","location":null,"background_text":"Richard W. Beveridge"}],"subjects":[{"id":83,"name":"Algebra","parent_subject_id":7,"call_number":"QA150-272.5","visible_textbooks_count":29,"url":"https://open.umn.edu/opentextbooks/subjects/algebra?locale=es"},{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"}],"publishers":[{"id":588,"url":"https://www.clatsopcc.edu/wp-content/uploads/2019/11/CollegeAlgebraTrigOCT2019.pdf","year":null,"created_at":"2018-09-16T12:58:10.000-05:00","updated_at":"2020-01-02T23:52:31.000-06:00","name":"Richard W. Beveridge"}],"formats":[{"id":1037,"type":"PDF","url":"https://math.libretexts.org/Bookshelves/Algebra/Book%3A_College_Algebra_and_Trigonometry_(Beveridge)#:~:text=picture_as_pdf-,Full,-Book","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"4.5","textbook_reviews_count":5,"reviews":[{"id":3032,"first_name":"Ed","last_name":"Dillon","position":"Math Instructor","institution_name":"Century College","comprehensiveness_rating":5,"comprehensiveness_review":"The author has covered everything that is in the standard College Algebra scope and sequence, the standard College Algebra that does not include trigonomtry. An Answer Key is provided at the end of the book covering the answers to all odd numbered problems.","accuracy_rating":5,"accuracy_review":"I read through the entire PDF text and did not find a single error. Note that I did not work all examples, but at least one from every section in the book.","relevance_rating":5,"relevance_review":"It should indeed be easy to make updates, though I do not see it as being very likely that this will be necessary. The author has very nicely integrated the history of mathematics into the narrative explanations of problems. It makes for pretty good reading actually. Beveridge does a nice job of also including programming in some sections - for example, a short program on the TI calculators for finding solutions using the quadratic formula.","clarity_rating":5,"clarity_review":"The writing is clear and concise. The text is a bit dry containing almost no diagrams, but the author has written all sections very much like one would lecture using scaffolding to make each progressive concepts more complicated to get the student to the level needed to do algebra in calculus.","consistency_rating":5,"consistency_review":"Again, I looked through all sections of the book. Not only is the author consistent with terminology, but he does a very nice job of show students how the algorithms we have all learned in K-12 grades also apply to the algorithms in College Algebra. One such example, of many, is in Section 2.6, teaching polynomial division using a model from integer long division.","modularity_rating":5,"modularity_review":"Although the sequence Beveridge uses is a bit unconventional, his division of the topics into sections that nicely build on each other, and are not overwhelming. A student should be able to sit down and read any given section, working through the examples, in an hour or so. He is very consistent in show steps within problems, and remarking on skills that were covered earlier in the book.","organization_rating":5,"organization_review":"As mentioned above, Beveridge's scope and sequence is a bit different than most College Algebra text books, but I like it, and can see why he has arrange the topics in the order he did. It works.","interface_rating":5,"interface_review":"No problems what so ever. The graphs are simple, but beautifully not cluttered.","grammatical_rating":4,"grammatical_review":"I only found a couple small typos in the entire book. It seems very well edited.","cultural_rating":5,"cultural_review":"Nothing insensitive or offensive. The author has done a wonderful job of bringing math historical references into the instruction from a large variety of cultures.","overall_rating":10,"overall_review":"I have been thinking about making an OER adoption for my College Algebra classes. I can see using this book and creating a successful learning environment for my students.","created_at":"2019-06-30T21:27:39.000-05:00","updated_at":"2019-06-30T21:27:39.000-05:00"},{"id":3497,"first_name":"Clilfton","last_name":"Webb","position":"Assistant Professor of Mathematics","institution_name":"J. Sargeant Reynolds Community College","comprehensiveness_rating":4,"comprehensiveness_review":"The text book provides a very uniform platform for the topics included in a most Community College Algebra and Trigonometry class. Topics are organized in the increasing matter of difficulty ending at an intermediate level of learning. Most important is the glossary of terms making it simple for students to use to find the topics. ","accuracy_rating":4,"accuracy_review":"The content for this book matches the learning outcomes with two exceptions for our community college Precalculus and trigonometry  classes. Having taught the courses for many years, upon a close observation, I did not find any inaccuracy.","relevance_rating":4,"relevance_review":"For now the problems in the book are up-to-date and relevant however as newer edition are printed, I would like to see some inclusion of real world problems relating to climate change such as calculation of wind power , savings on using the solar panels etc. Also a chapter on Systems of Linear Equations; Using Matrices and  Partial Fractions Decomposition  ","clarity_rating":5,"clarity_review":"Language is simple yet effective and easily understood. Math terms can be hard to explain and understand especially for the community college students, videos are ok but they can be supplemented by other easily accessible video sites especially for an online course","consistency_rating":5,"consistency_review":"Topics are easily built upon each other and easy to refer back to without having to click a lot.","modularity_rating":5,"modularity_review":"As stated above, a streamlined flow of the topic lends to building the modules with closely related topics. Objectives listed at the end do match our objectives so it is easy to refer to without taking anything out.  ","organization_rating":5,"organization_review":"Like topics are closely arranged so they can be grouped into learning units or modules without jumping back and forth makes it easy to create a streamlined course. ","interface_rating":5,"interface_review":"For an online course, book provides an easy ADA approach to build the course using the QM guidelines.","grammatical_rating":5,"grammatical_review":" I did not find any such errors.","cultural_rating":5,"cultural_review":"This Algebra and Trigonometry text book does not offend me, nor any of my students, some have even stated that it cleared up certain questions they had.","overall_rating":9,"overall_review":"I look forward to additional up dates to this text which I  know will be a great help to three future OER courses and online courses here at the Community College.","created_at":"2020-01-13T11:54:34.000-06:00","updated_at":"2020-01-13T11:54:34.000-06:00"},{"id":4008,"first_name":"Michael","last_name":"Costa","position":"Adjunct Instructor","institution_name":"Bristol Community College","comprehensiveness_rating":5,"comprehensiveness_review":"Chapters 1, 4, and 2 would cover the College Algebra Portion of Precalculus at our college.  Chapter 4.7, 4.8; chapter 3, chapter 8.1, 8.2, and 8.3; chapter 9.1-9.5; chapter 10.1 and 10.2, and chapter 11.1 and 11.3 would cover our Precalculus course.  Chapter 6 would have to wait until Calculus 2.  Chapter 5 and 7 are nice extras.","accuracy_rating":5,"accuracy_review":"The book matches our college outcomes for both courses.  One typo on page 133: 2x^3 -3^2+2x-8=0 is missing the letter X next to the -3.","relevance_rating":4,"relevance_review":"The longevity of College Algebra holds.  As for relevance, I would like to see more applications or word problems, and be sure to put answers to odd number word problems in back of book.","clarity_rating":4,"clarity_review":"The examples are written with a word processor as opposed to using math software such as Latex, Tex, Mathlab.  As such, some problems make for slow reading--see pages 12, 24, 74.  The word problems on page 83 do not have solutions posted for odd problems.  Page 88 needs more examples to solve number 11.  Page 93 says solve using technology, but no specific software such as Desmos is listed.  More examples for 2.5 would be nice.  Page 119 is a bit difficult to follow.","consistency_rating":4,"consistency_review":"Trigonometry 8.2 usually has the angle theta on the bottom left, adjacent side is along the x-axis, and the opposite side is vertical:  known as \"with respect to x\".  Not all triangles in 8.2 are oriented the same way and makes understanding difficult.","modularity_rating":5,"modularity_review":"The book is broken into chapters and the chapters are broken into sections.  The sections be taught in different order as needed and so can the chapters.  Some modules such as 2.5 could use more examples.","organization_rating":4,"organization_review":"For our college I would teach chapter 1, then 4.1-4.6, and finally chapter 2 for College Algebra.  For the second course, I would teach 4.8, 4.9, chapter 3, chapter 8, chapter 9, chapter 10, and chapter 11, but not all the sections.  Organization of the book is good, other than chapter 4 should come before chapter 2. As an instructor, I might cover 4.5 toolboox functions -- the most commonly seen functions first before I cover 4.4 transforming (move up or down, left or right) those functions.","interface_rating":5,"interface_review":"The book  College Algebra and Trigonometry by Richard W. Beveridge is monochrome -- black and white, but I do not miss the colors.  The graphs are easy to read and not overcrowded.","grammatical_rating":5,"grammatical_review":"Grammar is correct in the book with only one minor typographical error on page 133.","cultural_rating":5,"cultural_review":"Math is sometimes referred to as a language.  As such, there are no questionable or problematic topics covered.","overall_rating":9,"overall_review":"I could see myself adopting this textbook; maybe add my own supplemental material, and maybe skip some sections due to time constraints.","created_at":"2020-06-18T21:07:17.000-05:00","updated_at":"2020-06-18T21:07:17.000-05:00"},{"id":4124,"first_name":"Swati","last_name":"Kelkar","position":"Associate Professor","institution_name":"Bunker Hill Community College","comprehensiveness_rating":4,"comprehensiveness_review":"This textbook covers most topics expected in a standard College Algebra and Trigonometry course.   A brief coverage of Matrices would have been ideal in a textbook like this.  It could use some treatment of Partial Fraction Decomposition as well.","accuracy_rating":5,"accuracy_review":"The content is accurate and on point.","relevance_rating":5,"relevance_review":"The textbook is relevant by the very nature of the content.  The arrangement is linear and topics do not run in.  Edits therefore will be easy to make.","clarity_rating":5,"clarity_review":"The style of this textbook is highly conversational.  It appeals to an inner dialog a student may have while reading it.  It works at the reader's pace and meets the reader where they are at.","consistency_rating":5,"consistency_review":"Textbook is internally consistent with terminology.  A connection is made between the interval notation and open and filled dots on the number line.  Here students could use a correspondence table showing the equivalence  between the two systems of notation.more explanation","modularity_rating":5,"modularity_review":"The text is sectioned out appropriately into right sized modules which make the transition easy.","organization_rating":5,"organization_review":"Topics are in a natural logical order.","interface_rating":5,"interface_review":"There are no interface issues.","grammatical_rating":5,"grammatical_review":"There are no grammatical errors.","cultural_rating":5,"cultural_review":"There is no culturally insensitive material in the textbook.","overall_rating":10,"overall_review":"This textbook will meet most students' needs in College Algebra and Trigonometry.  It can serve as reference reading or as a main textbook.  It has an   Answers section as well.","created_at":"2020-06-29T03:27:57.000-05:00","updated_at":"2020-06-29T03:27:57.000-05:00"},{"id":33345,"first_name":"Sara","last_name":"Rabieh","position":"Math Department Chair","institution_name":"Midlands Technical College","comprehensiveness_rating":3,"comprehensiveness_review":"Good explanation of some topics, but other topics could use more details (chapter 4, and piecewise functions). This textbook may not be representative of all the topics that are traditionally taught in trigonometry and college algebra. In our curriculum, there are topics missing that students are required to learn. It is missing a section on vectors, matrices, systems of equations and inequalities. There needs to be more details on logarithms, piecewise functions, real zeros of a polynomial, rational functions, and complex zeros of a polynomial. The unit circle needs to be introduced. This is super important in trigonometry. You do not see any word problems until chapter 3.","accuracy_rating":4,"accuracy_review":"The content is basic. I wished that there were more challenging examples. There are step by step directions on how to solve a problem, and this textbook should be an easy read for students.","relevance_rating":4,"relevance_review":"I wished certain sections had more details or more challenging examples for students.","clarity_rating":4,"clarity_review":"This should be an easy read for students, and the information is organized.","consistency_rating":3,"consistency_review":"Like I mentioned previously, there are some sections missing that are super important in college algebra and trigonometry.","modularity_rating":4,"modularity_review":"This should be an easy read for students. The sections are short, and this is something that the student can read in a short period of time.","organization_rating":4,"organization_review":"It is well organized.","interface_rating":4,"interface_review":"The graphs and charts are well presented and easy to read and understand.","grammatical_rating":5,"grammatical_review":"No grammar issues.","cultural_rating":3,"cultural_review":"This is not relevant in the textbook.","overall_rating":8,"overall_review":null,"created_at":"2021-07-13T10:14:22.000-05:00","updated_at":"2021-07-13T10:14:22.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/college-algebra-2018?locale=es","updated_at":"2026-05-18T02:06:24.000-05:00"},{"id":239,"title":"Algebra and Trigonometry 2e","edition_statement":null,"volume":null,"copyright_year":2021,"ISBN10":"1938168372","ISBN13":"9781951693404","license":"Attribution","language":"eng","accessibility_statement":null,"accessibility_features":"","description":"Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned. The Algebra and Trigonometry 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of Algebra and Trigonometry by OpenStax is available in web view here.","contributors":[{"id":4757,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Jay","middle_name":null,"last_name":"Abramson","location":"Arizona State University","background_text":"Jay Abramson has been teaching Precalculus for over 35 years, the last 20 at Arizona State University, where he is a principal lecturer in the School of Mathematics and Statistics. His accomplishments at ASU include co-developing the university’s first hybrid and online math courses as well as an extensive library of video lectures and tutorials. In addition, he has served as a contributing author for two of Pearson Education’s math programs, NovaNet Precalculus and Trigonometry. Prior to coming to ASU, Jay taught at Texas State Technical College and Amarillo College. He received Teacher of the Year awards at both institutions."}],"subjects":[{"id":83,"name":"Algebra","parent_subject_id":7,"call_number":"QA150-272.5","visible_textbooks_count":29,"url":"https://open.umn.edu/opentextbooks/subjects/algebra?locale=es"},{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":98,"url":"https://openstaxcollege.org/textbooks/algebra-and-trigonometry","year":null,"created_at":"2018-09-07T12:22:37.000-05:00","updated_at":"2018-09-07T12:22:37.000-05:00","name":"OpenStax"}],"formats":[{"id":137,"type":"PDF","url":"https://assets.openstax.org/oscms-prodcms/media/documents/Algebra-and-Trigonometry-2e-WEB.pdf","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":138,"type":"Online","url":"https://openstax.org/details/books/algebra-and-trigonometry-2e?Book%20details","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":2951,"type":"eBook","url":"https://openstax.org/books/algebra-and-trigonometry-2e/pages/1-introduction-to-prerequisites","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"4.5","textbook_reviews_count":19,"reviews":[{"id":424,"first_name":"Mingshen","last_name":"Wu","position":"Professor","institution_name":"University of Wisconsin-Stout","comprehensiveness_rating":1,"comprehensiveness_review":"This book is a comprehensive textbook.  It does cover all the materials that we need to cover by our college mathematics course MATH-120 and MATH-121.\n\n  This book does not provide an effective index and glossary.  However, users can use the content list to find the section needed.  Yes, this is a good question: the authors should spend a little more time to develop an index and glossary that may help students and other learners.","accuracy_rating":5,"accuracy_review":"The contents in this book are basic algebra and trigonometry.  I did not find significant error.  I believe it is unbiased.","relevance_rating":4,"relevance_review":"The contents are fundamental algebra and trigonometry concepts/skills that have not been changed too much over long period of time.  So, it is fine.  The teachers who use this book may add in other application problems as needed -- this happen to my teaching all the time whenever what textbook I use.\n\nI do feel this book is a little bit too long though.  Properly shorten it may be a good idea.","clarity_rating":4,"clarity_review":"Yes, I think this book provides adequate context for the jargon/technical terminology used.\n\nBased on my experience this book is easy to read by students.","consistency_rating":5,"consistency_review":"I would say that it is not easy to keep internally consistent in terms of terminology and framework by these many authors.  I was surprised that it is just fine.  I feel it is quite consistent.","modularity_rating":5,"modularity_review":"Yes, the book contents are arranged into 13 chapters.  It is quite easy to select the topics needed to make a course with 3-credit, 4-credit, or 5-credit.  This book certainly provides enough optional contents for our sequence of two 4-credit courses (algebra and trigonometry)","organization_rating":5,"organization_review":"Yes, the topics in the text are presented in a logical, clear fashion.","interface_rating":4,"interface_review":"I reviewed this book using the online book version.  Book loading is relatively slow.   Navigating from chapter to chapter online takes a while to load.  This book has over a thousand pages!\n\nOnce it loaded up, the text is clear, the pictures are very nice, too.","grammatical_rating":3,"grammatical_review":"I didn't see grammatical errors.","cultural_rating":5,"cultural_review":"This book definitely is not culturally insensitive or offensive in any way.  This book should be acceptable by all races, ethnicities, and backgrounds including international usage.","overall_rating":8,"overall_review":"1. For convenience, I would suggest the authors to add an index and/or glossary that may help students to learn.\n2. Some chapters were a little bit too long.  Try to avoid including several quite similar examples.\n3. The online content list has no page number -- I am not sure the paper copy since I didn't see -- better add it on.  It would be nice if user can online navigate using page numbers.","created_at":"2016-08-21T19:00:00.000-05:00","updated_at":"2016-08-21T19:00:00.000-05:00"},{"id":1305,"first_name":"Robert","last_name":"Strozak","position":"Senior lecturer","institution_name":"Old Dominion University","comprehensiveness_rating":4,"comprehensiveness_review":"This book covers more than I require in PreCalculus I, and may be useful in our PreCalculus II course.","accuracy_rating":5,"accuracy_review":"I didn't find any mistakes or content irregularities.","relevance_rating":4,"relevance_review":"I think the homework sets will need to be expanded or updated.","clarity_rating":4,"clarity_review":"it is well written. I think my students can use it as a useful reference.","consistency_rating":5,"consistency_review":"This book matches or current text very closely, so it will follow the same terminology and style we already use.","modularity_rating":4,"modularity_review":"It has a series of \"mini lessons\" that can be used effectively.","organization_rating":5,"organization_review":"The topics follow our current text, which I find very logical.","interface_rating":5,"interface_review":"The book is very \"clean.\"","grammatical_rating":4,"grammatical_review":"None, as far as I have found.","cultural_rating":5,"cultural_review":"I see nothing that would be offensive.","overall_rating":9,"overall_review":null,"created_at":"2017-06-20T19:00:00.000-05:00","updated_at":"2017-06-20T19:00:00.000-05:00"},{"id":1462,"first_name":"Bill","last_name":"Heider","position":"Instructor","institution_name":"Hibbing Community College","comprehensiveness_rating":5,"comprehensiveness_review":"The text covers the topics you would typically expect to be covered in a combined college algebra/Trigonometry text.   The text does allow for students with varying levels of readiness, as the first two chapters covers topics typically encountered in an  \"Intermediate Algebra\" course.  Topics covered include all the algebra and trigonometry to prepare a student for an introductory level calculus course.   Contextual problems are included throughout.  A comprehensive index lists major topics and links to the appropriate page when utilizing the pdf file provided.","accuracy_rating":5,"accuracy_review":"Sampling homework sets and examples no errors were found.","relevance_rating":4,"relevance_review":"Applications are up to date.  In addition, technology is incorporated in a generic way so as to allow for various models of calculators or utilizing software, web- based calculators or spread sheets.   The book provides links to you tube videos and provides support for online homework using service including webassign, xyz homework and others.","clarity_rating":4,"clarity_review":"Examples are presented in a clear manner.   the book uses liberal diagrams and illustrations to facilitate understanding as appropriate.","consistency_rating":5,"consistency_review":"Each section and each chapter follows the same pattern to facilitate usage of the book.   Each chapter concludes with a summary and a set of practice problems in addition to problems at the end of each section of the text.  In addition the book divides chapters into major sections","modularity_rating":5,"modularity_review":"Each section of each chapter can be completed reasonably in a day or two of a typical course.  There is some option to re order chapters and topics.","organization_rating":5,"organization_review":"the book is well organized and laid out in a very understandable fashion.  Each section starts with some motivation of the content, examples of problems, followed by relevant applications.  Links to videos are included and the chapter ends with a comprehensive set of problems.   The PDF file conveniently links both the table of contents and index to the relvant section, simplifying navigation to the desired sections","interface_rating":5,"interface_review":"the interface of the book is excellent.  The pictures and diagrams are claer.  The pdf file links both the table of contents and index to the appropriate page in the text.","grammatical_rating":5,"grammatical_review":"No grammar issues.","cultural_rating":5,"cultural_review":"Examples are generally culture and gender neutral.   There is no bias in the presentation of material.","overall_rating":10,"overall_review":"This book would be an excellent choice for any combined college algebra/Trigonometry course.  Any course utilizing the text would be well prepared  for a claculus course aor any other program requiring a typical background in these topics of mathematics.","created_at":"2017-06-20T19:00:00.000-05:00","updated_at":"2017-06-20T19:00:00.000-05:00"},{"id":1531,"first_name":"John","last_name":"Salisbury","position":"Mathematics Instructor","institution_name":"Rogue Community College","comprehensiveness_rating":5,"comprehensiveness_review":"The text covers numerous subject's that would be covered in several different courses where I teach.  The book covers several more topics than the title would indicate.  There are glossaries at the end of each section of each chapter which I found to be effective and useful.","accuracy_rating":5,"accuracy_review":"I found the text to be accurate, error-free, and not biased.","relevance_rating":5,"relevance_review":"The applications and the introductory sections seem timely and unlikely to be obsolete any time soon.  Most of the material is unchanging and it would not be difficult to rewrite the introductory sections which tend to deal with real word situations.","clarity_rating":5,"clarity_review":"The book is really straightforward and clear and free from a lot of the razzle dazzle that current mathematics textbooks tend to have.  The glossary sections are a good innovation and the terminology is well explained.","consistency_rating":5,"consistency_review":"I found no problem with consistency of the terminology or framework of the book.","modularity_rating":5,"modularity_review":"The sections are not too long.  There are numerous subheadings and an instructor could pick and choose (and, indeed, would have to) topics to cover.  The book is over 1000 pages long so it could be used for several individual courses.  It covers elementary algebra, trigonometry, topics from precalculus, probability, and several other topics.","organization_rating":3,"organization_review":"It covers so many topics that it is a little hard to say that the topics appear in a logical, clear fashion.  Because so many topics are covered, it could be argued that the book is compelled to jump around a bit.","interface_rating":5,"interface_review":"The book is totally straightforward and simple in its presentation without trying to be flashy in any way.  I found this simple, straightforward interface appealing.","grammatical_rating":5,"grammatical_review":"No problem in the grammar at all that I found.","cultural_rating":3,"cultural_review":"I found nothing culturally insensitive or offensive, but on the other hand, I don't the that that book makes use of multiple races, ethnicities or backgrounds.","overall_rating":9,"overall_review":"It would could be used for many different courses at the community college where I teach.  Each department or teacher would have to know which sections of the book should go with which course.","created_at":"2017-08-15T19:00:00.000-05:00","updated_at":"2017-08-15T19:00:00.000-05:00"},{"id":1541,"first_name":"Cristina","last_name":"Hansen Ruiz","position":"Associate Lecturer","institution_name":"University of the West of England","comprehensiveness_rating":5,"comprehensiveness_review":"The text covers all areas related to algebra and trigonometry, starting from the very basics, such as numbers or plotting coordinates, and taking the student to a minimum level from which to start further studies. Added value are the final chapters regarding geometry, sequences and probability. An appropriate index has been added at the end of the book.\nAt the end of each chapter there is a glossary under the term “key terms”.","accuracy_rating":5,"accuracy_review":"The book seems to be accurate and very thorough.","relevance_rating":5,"relevance_review":"The book is relevant for students that are weak with their algebra and need to revise key areas in order to attempt further studies. Final chapters about geometry, sequences and probability, questions about real world applications make the content up to date. Examples and real world applications show that the book can be used by students that want to attempt further studies in very different areas, such as biology and physics. The clear sections within the text and questions makes it easy to update.\nThus the book seems to have a long longevity.","clarity_rating":5,"clarity_review":"Technical terminology is introduced with examples and stories. These stories relate to the abstract ideas that the student needs to learn. An example of this can be seen on page 74, where the use of coordinate axis is introduced with the story of where to position a fly within the ceiling with the use of perpendicular walls. Thus an adequate context is being provided, that will help the student go back and forward in order to learn the abstract ideas that are needed to progress.","consistency_rating":5,"consistency_review":"The same terminology and ideas are being used throughout the book. An example of this is the consistency between chapter 2, where the coordinate system is introduced , and the subsequent chapters, such as chapter 6, where the same coordinate system is used with other functions.","modularity_rating":5,"modularity_review":"The text has been divided into smaller reading sections with the use of different type of headings. It makes it easy to skip parts, or concentrate more on others.\nDue to the nature of Mathematics, it is clear that some ideas need to have been worked upon while progressing through the book. However, the clear index and headings make it easy to jump to a different section, and also give hints of where to find appropriate information, examples, and questions if needed.","organization_rating":5,"organization_review":"Topics in the text are presented in a logical fashion, starting from the very basics, building on top of them and reaching out for more difficult topics. This structure is clear in the index and throughout the chapters. Starting with examples to introduce the basic abstract ideas, makes the content flow.","interface_rating":4,"interface_review":"I downloaded the PDF version of the text. Navigating, making it smaller or bigger, writing a comment or highlighting parts of the text was very easy. However I did miss the same index that appears on the contents pages (iii to vi) on the left hand side of the PDF reader interface. That could be improved to make navigation throughout different topics easier.","grammatical_rating":5,"grammatical_review":"Grammar was fine.","cultural_rating":5,"cultural_review":"The text is not culturally insensitive.","overall_rating":10,"overall_review":"PDF version could be improved adding an index to the left of the interface.\nA chapter about statistics could be added and linked with probability.\nAll in all, it is a good introductory text to be used across faculties.","created_at":"2017-08-15T19:00:00.000-05:00","updated_at":"2017-08-15T19:00:00.000-05:00"},{"id":1965,"first_name":"G. Brock","last_name":"Williams","position":"Professor","institution_name":"Texas Tech University","comprehensiveness_rating":5,"comprehensiveness_review":"This book covers all the standard topics of both a college algebra and trigonometry course.  I could only find two topics that I wish were included (neither are typically included  college algebra and trigonometry texts).  \n\nThe first was a discussion of the importance of proof in mathematics.  Otherwise students can (and usually do) just see the trig identity section as \"a bunch of stuff to memorize and symbols to push around\" without understanding their importance.\n\nThe second was the inclusion of Euler's formula when covering the polar form of complex numbers.","accuracy_rating":5,"accuracy_review":"I could find no mistakes.","relevance_rating":5,"relevance_review":"The actual course material hasn't changed of course in the last 200 years, so there is little chance of the material itself rendering the text obsolete.  The greater danger is in examples that could seem dated in a few years.  Care seems to have been taken in this regard.  The only examples I noticed that I thought might seem out of place were problems that involved the cost of phone service.  They seem to have been written with land lines in mind, and might have been better expressed as costs for data plans.","clarity_rating":4,"clarity_review":"The book is clear and straightforward.  It could be described as \"no-nonsense\".  It doesn't \"sparkle\" or contain moments of humor that would draw students in. ","consistency_rating":5,"consistency_review":"Notation and assumed pre-requisites are consistent.","modularity_rating":4,"modularity_review":"Modularity is not very easy to achieve (and often not highly desirable) in a math text that by necessity builds step by step on prior knowledge.  However, this book does present the trigonometry in a way that could be separated from the algebra, making this a suitable book for a course on just college trigonometry.","organization_rating":5,"organization_review":"One of the things I most like about this text (especially the algebra half) is that topics are organized in a way that requires revisiting and deepening the understanding of earlier topics. \nFor example, the book introduces polynomials and factoring polynomials in chapter 1, then comes back to solving quadratic equations (completing the square, etc) in the middle of chapter 2, then graphing quadratics by completing the square in chapter 5, then graphs and roots of general polynomials.\n\nIts treatment of linear functions is similar beginning with solving (one-variable) linear equations at the beginning of chapter 2, then linear inequalities at the end of chapter 2, before graphing and linear regression in chapter 4.\n\nThis spiraling back to re-visit topics is one of the best features of the text.\n","interface_rating":4,"interface_review":"The online version of the book is reasonably easy to navigate with no significant problems.  The high-quality pdf version is a bit large, however, and slower machines may have trouble scrolling through the whole file.","grammatical_rating":5,"grammatical_review":"I noticed no grammatical errors.","cultural_rating":5,"cultural_review":"I noticed no culturally offensive material.","overall_rating":9,"overall_review":null,"created_at":"2018-03-27T19:00:00.000-05:00","updated_at":"2018-03-27T19:00:00.000-05:00"},{"id":2085,"first_name":"Meryem","last_name":"Abouali","position":"Adjunct lecturer","institution_name":"Laguardia Community College","comprehensiveness_rating":5,"comprehensiveness_review":"Algebra and Trigonometry text covers  a standard typical topics for Algebra course. Within each concept there is an appropriate level of critical thinking and application. There is a perfect level of comprehensiveness.","accuracy_rating":5,"accuracy_review":" Overall , the accuracy of the text was very good. The authors have  separate important definitions, results, concepts , and theorems in blue text boxes that direct the reader's attention. Notations and explanations seems fairly accurate .","relevance_rating":5,"relevance_review":"This text is adequately relevant to the  subject as it is taught today . The authors use  real world examples in the chapters and the homework. The real -life applications  provided in the book are general enough that changes would not be necessary . They are good for all time. ","clarity_rating":5,"clarity_review":"The text has a good clarity and it is very readable to students at this level. The use of common  fronts, text boxes, and overall the language and organization of the text is excellent . It is a user- friendly because the layout makes it easier for students .The text is very consistent in the language used from section to section as will as its terminology and symbols.","consistency_rating":4,"consistency_review":"The text is very consistent in its approach to explanation and students engagement . Additionally , the notations used  lead students  to strong comprehension. The flow is consistent and clear in each section in terms of how concepts are introduced . The authors used consistent terminology as in most other math textbooks.","modularity_rating":4,"modularity_review":"The text is breaking down the content  into easy parts . It is appropriately designed and ordered from section to section which makes the learning easier.","organization_rating":5,"organization_review":"Overall the organization of the text is logical and seems pedagogically justified. The layouts such as the transition from topic to topic from within a section and between sections is easy . Topics are organized from easier to more difficult in a logical manner.","interface_rating":5,"interface_review":"The navigation is a quite user- friendly. The links within the text that allow the user to jump to specific topic in the  text are useful. All the links work well. The text uses appropriate organization of graphics and text  highlights  important concepts. The  colors for text, front, and headings are all appropriate and help to focus the readers's attention to what is truly important.","grammatical_rating":5,"grammatical_review":"The text appears to be grammatically correct. It is error -free. It is obvious that the authors took their time to eliminate errors from this text.","cultural_rating":5,"cultural_review":"The text is not culturally insensitive or offensive in any way. The text doesn't have as many culturally inclusive examples as other traditional text books, it would be beneficial to incorporate more culturally diverse examples for our diverse student population.","overall_rating":10,"overall_review":"I would thank the authors for their great effort in putting together this text. I am planning on adapting this text for my classroom within the next year . It 's a well written , I like the format and the flow of the concepts.","created_at":"2018-05-21T19:00:00.000-05:00","updated_at":"2018-05-21T19:00:00.000-05:00"},{"id":2263,"first_name":"Cecilia","last_name":"Weingartner","position":"Lecture of Mathematics","institution_name":"Southern Utah University","comprehensiveness_rating":4,"comprehensiveness_review":"The text book is comprehensive, covering most of the materials for College Algebra and Trigonometry in a standard, traditional way. It has an introduction, learning objectives, contents with definitions, key points, graphs, and examples with similar practice questions. It lacks the integrated connection between concepts within the book.","accuracy_rating":5,"accuracy_review":"I did not come across any mistakes while skimming the text.","relevance_rating":4,"relevance_review":"The concept does not change.  The applications could be broader.","clarity_rating":4,"clarity_review":"Examples and graphic displays are quite standard and clear.  I especially like the video using the wolfram graphic to illustrate the polar graphs in trigonometry functions.","consistency_rating":4,"consistency_review":"The notations are quite consistent throughout the book.   \nThe online version of the textbook and the pdf version of the textbook are a little different.\nIn the pdf version, the highlighted region is mainly for the definition, formulas and key points, which are very consistent.  However, in the online version, the highlighted region is also including the special feature with show/hide solution button, which has lessen the important of the highlighted definitions, formulas and key points.","modularity_rating":4,"modularity_review":"The textbook is written in a way that can be subdivided into smaller sections.  I created a module called Solving Zero for Polynomial Equation in degree two.  I combined parts from chapter 1, 2, 5, 6, and 9.  I added few examples or graphs for the completeness to some topics.  I also added some examples requiring software to estimate the zero.  It works well.","organization_rating":4,"organization_review":"The topics are presented in a logical and clear fashion.\nIn the textbook, Linear Equations in Two Variables are in the same section of Linear Equation in One Variable.","interface_rating":4,"interface_review":"This book covered many topics. It is not easy to navigate the reference materials within the textbook. For example, there are no links between key terms and definitions within shaded boxes.\n\nFor the online version, it contains a good feature for having the “show solution” options for the examples. However, they are in shaded boxes as well as the definitions. It is a little bit confusing. And the sizes of graphs and fonts for those examples in shaded boxes are not consistent. It looks a little odd sometimes.","grammatical_rating":5,"grammatical_review":"I have not found any grammatical errors.","cultural_rating":5,"cultural_review":"I do not think there is any culturally insensitive or offensive content in the text.","overall_rating":9,"overall_review":"I did not care much for the calculator explanations. Aside from this, the textbook is easy to adapt into one to two courses.  I like the wolfram YouTube video on polar graphing. The textbook can implement more application-based questions to increase some challenging exercises for students to explore.","created_at":"2018-08-02T19:00:00.000-05:00","updated_at":"2018-08-02T19:00:00.000-05:00"},{"id":2265,"first_name":"Stacy","last_name":"Jurgens","position":"Instructor","institution_name":"Mesabi Range College","comprehensiveness_rating":5,"comprehensiveness_review":"The text was very thorough. In fact, when using it in my Advanced Algebra course I skipped many sections. The homework problems were plentiful and offered a lot of variety. However, the word problems all felt a little too similar. A student doing a few problems in a row could settle into a \"routine\" versus apply their problem solving skills. As for the index and glossary, they were comprehensive and useful. However, when a student downloaded the text as a PDF, the numbers in the index/glossary did not match the page numbers of the PDF, causing confusion. Also, the math type often downloaded garbled.","accuracy_rating":5,"accuracy_review":"I never found an Instructors Manual so I can't comment on accuracy. However, the different sections with examples were accurate.","relevance_rating":5,"relevance_review":"Math is Math, it doesn't require updates. However, I wish that the complex number sections and hmwk problems requiring the use of complex numbers was seperated from the main content. If an instructor does not have complex numbers in their course content, they run the risk in later sections of assigning problems that use them.","clarity_rating":5,"clarity_review":"Minimal text is how I prefer to teach Algebra and Trig. I focus on the symbolic language. The text in this book was adequate and not superfluous.","consistency_rating":5,"consistency_review":"Very good consistency.","modularity_rating":4,"modularity_review":"Please see the above comments on Complex Numbers. \nOther than that, I thought the topics were maybe broken down too far. It at times felt like it was less than College or even Advanced Algebra level.","organization_rating":3,"organization_review":"See above about Complex Numbers.","interface_rating":2,"interface_review":"Some of the math text did not download correctly, preventing students from being able to do assigned homework.","grammatical_rating":5,"grammatical_review":"Looked good to me, but I am a Math person...","cultural_rating":5,"cultural_review":"Mathematics is the universal language and shows no bias.","overall_rating":9,"overall_review":"It was my first experience with an OER and I intend to use it again. I believe the second time around will be as insightful as the first.","created_at":"2018-08-02T19:00:00.000-05:00","updated_at":"2018-08-02T19:00:00.000-05:00"},{"id":2833,"first_name":"Brandy","last_name":"Williams","position":"Instructor ","institution_name":"Northshore Technical Community College","comprehensiveness_rating":4,"comprehensiveness_review":"All areas of the subject are covered.  The index is easy to use.  Each section contains a glossary which can be helpful and convenient, but for instructors who limit their teaching to specific sections, a comprehensive glossary that is easily identified in the index would be much more helpful.  ","accuracy_rating":4,"accuracy_review":"I have not found inaccuracies.   I found the introductions to the material and real world applicable examples to be unbiased.  However, the explanation of factoring trinomials with leading coefficients not 1 only explains one method (grouping) instead of explaining the general principle.  Some instructors prefer to teach factoring trinomials using trial and error with a focus on students understanding the general principle as the publisher explains for factoring trinomials with coefficients of 1 and factoring by pulling out the GCF.  I also disagree with the explanation of power functions in that variables raised to fractional powers were said to also be power functions.  ","relevance_rating":4,"relevance_review":"I really appreciated the fact that the text has links to youtube videos in some sections.  This will make the text much more interactive and relevant to the student.  The real life examples seemed quite relevant to today's culture.   However, one example in section 1.1 talked of using money to purchase MP3's.  To my knowledge, that term is not used in this current generation of graduating high school students.  ","clarity_rating":5,"clarity_review":"The text is well written, and the examples are interactive.  The real-life examples do not contain technical terminology which would be difficult for the average reader to understand. ","consistency_rating":5,"consistency_review":"The text is consistent in how it presents material.  Each section has an introduction to material, interactive examples, practice problems, and a glossary at the end.  ","modularity_rating":4,"modularity_review":"While I do feel the text is well organized, some sections contain an enormous amount of material.  If considering the book for a Pre-Calculus or Trigonometry course, the layout is appropriate to give a brief overview of previously taught Algebra topics.  I would not prefer this book for College Algebra. ","organization_rating":5,"organization_review":"The topics are appropriately structured; concepts flow from simple to complex. ","interface_rating":4,"interface_review":"The links work well; the images/charts contain no errors.  I have a great appreciation for the interactive examples.  However, some examples do not state the solutions as others do, which could be confusing to some readers. ","grammatical_rating":5,"grammatical_review":"I did not observe any grammatical errors. ","cultural_rating":5,"cultural_review":"The introduction to each section uses material from a variety of cultures throughout history such as Egyptians, Grecians, Haitians.  The introduction also explains applications in a variety of fields such as business, science, engineering, and architecture. ","overall_rating":9,"overall_review":"I appreciated many qualities about this book.  I enjoyed Section 1.1 which did a great job of explaining our number system in an understandable and relate able way.   The interactive examples are set up in a way that it gives students a chance to consider solutions before they are told what they are.  Students can then click on the link to receive either validation or correction for their thoughts.  As stated earlier, the youtube links make the text user friendly to students today.  Improvements to the text could include more common types of factoring examples in Section 1.5 (particularly the factoring by grouping example) instead of ones that are hardly encountered in the general practice of factoring.  The explanation of factoring trinomials with a leading coefficient not 1 could explain the general principle of factoring as was done for factoring by grouping and factoring trinomials with leading coefficient of 1 before describing a particular method.  The explanation of converting degrees to radians and radians to degrees could be more straightforward by offering a formula early one instead of using the concept of rotations.  The examples for this are also quite complicated.  All in all, it is a great option for a Trigonometry class.  ","created_at":"2019-04-24T18:04:17.000-05:00","updated_at":"2019-04-24T18:04:17.000-05:00"},{"id":2902,"first_name":"Marissa","last_name":"Ford","position":"Assistant Professor","institution_name":"Trine University","comprehensiveness_rating":4,"comprehensiveness_review":"I did not see a glossary, but there was an effective index.  From what I see, you cannot get to the index unless you download the book from the website.  Once I downloaded it, I could see the index.","accuracy_rating":5,"accuracy_review":"The problems I saw had no errors and were unbiased.  The content was accurate.","relevance_rating":5,"relevance_review":"There were some real-world applications considered, some real objects in life, but none that would be considered obsolete any time soon.","clarity_rating":5,"clarity_review":"The book was very clear.  There are definitions were they need to be. ","consistency_rating":5,"consistency_review":"The textbook is consistent in how it is written.","modularity_rating":5,"modularity_review":"The book is not hard to read.  Students can read through this without much difficulty.","organization_rating":5,"organization_review":"The topics are in a logical order, there is nothing I would change.  This is how I would teach the class.","interface_rating":5,"interface_review":"There were no navigation problems that I ran into.  The pictures were nice and there was no distortion.","grammatical_rating":5,"grammatical_review":"I did not see any grammatical errors.","cultural_rating":5,"cultural_review":"The book is not insensitive or offensive.","overall_rating":10,"overall_review":"There were some formatting things I noticed in the online version.  Specifically, on page 605, any time there is a formula, after it, there is a space that is missing between it and the next word.  However, when I downloaded the PDF version, that formatting error is gone.  ","created_at":"2019-05-13T10:43:50.000-05:00","updated_at":"2019-05-13T10:43:50.000-05:00"},{"id":2903,"first_name":"Matt","last_name":"Brown","position":"Director, Quantitative Reasoning Center","institution_name":"Earlham College","comprehensiveness_rating":5,"comprehensiveness_review":"I use this text for a semester course. There is more than enough content for a semester course. I doubt there is enough for a full year.","accuracy_rating":5,"accuracy_review":"No issues with accuracy at all.","relevance_rating":5,"relevance_review":"The content is practical and engaging for the students.","clarity_rating":5,"clarity_review":"The clarity is very accessible even for ESL students.","consistency_rating":5,"consistency_review":"I found no circumstances of inconsistent terminology in this text.","modularity_rating":5,"modularity_review":"Every time that I use this text I change something in the order of the content delivery, and the book is written in a way works.","organization_rating":5,"organization_review":"I particularly like the way the concept of functions is presented.","interface_rating":5,"interface_review":"While I still like to have a words-on-paper textbook, the students almost exclusively used the ebook version with no complaints.","grammatical_rating":5,"grammatical_review":"I found no grammatical errors.","cultural_rating":5,"cultural_review":"I use this book in a highly diverse setting and have never had an issue raised to me regarding insensitivity.","overall_rating":10,"overall_review":"I use this book in foundational math class.  There are three things in particular that make this book appeal to me.  I like the modularity of this book as it allows me jump around to shape each class based on the students' needs. I also utilized the accompanying PowerPoints as a foundation for my presentations.  Lastly and most importantly is the connection to WebAssign for online homework.  The ability of WebAssign to deliver additional content to supplement this text in the modality that each student desires based on their learning style makes a huge impact in outcomes. I highly recommend this text.","created_at":"2019-05-14T07:32:24.000-05:00","updated_at":"2019-05-14T07:32:24.000-05:00"},{"id":2926,"first_name":"Babul","last_name":"Saha","position":"Adjunct Lecturer","institution_name":"LAGCC","comprehensiveness_rating":5,"comprehensiveness_review":"This book is perfect to teach one semester course. It has all the material that we cover in a semester.","accuracy_rating":5,"accuracy_review":"The author maintained all the topics and sequence for this book.","relevance_rating":5,"relevance_review":"There is no issue for the relevance of the book. It full fill the requirement.","clarity_rating":5,"clarity_review":"This book is clearly readable for all level of students including non native speaker.","consistency_rating":5,"consistency_review":"I have seen the author maintained the consistency of the topics.","modularity_rating":5,"modularity_review":"It maintained the order of the topics. There is no need to shuffle the topics of this book.","organization_rating":5,"organization_review":"I like the book the way it is organized. First, the author explained the theoretical concept, then example and finally the exercise. I think most of our students need this pattern to succeed the course.","interface_rating":5,"interface_review":"I strongly agree that students can easily access the e book and they also can download the pdf version of this book. ","grammatical_rating":5,"grammatical_review":"I did not find any grammatical mistake.","cultural_rating":5,"cultural_review":"This book can be used for diverse group of students.","overall_rating":10,"overall_review":"Overall, I like this this book.","created_at":"2019-05-17T21:35:55.000-05:00","updated_at":"2019-05-17T21:35:55.000-05:00"},{"id":3642,"first_name":"Laura","last_name":"Stapleton","position":"Instructor","institution_name":"Marshall University","comprehensiveness_rating":5,"comprehensiveness_review":"The textbook is comprehensive.  I've used the Algebra and Trigonometry textbook in a face-to-face co-requisite College Algebra class for 2 years without problems.  Most students utilize the textbook digitally.  The textbook is set up as a traditional textbook with definitions, examples, objectives, and practice questions.  Very easy to follow.\r\n\r\nThere is a variety of problems to keep the learner engaged.  The textbook is helpful for learners who have differing levels of readiness.","accuracy_rating":5,"accuracy_review":"I've had no issues with inaccuracies.","relevance_rating":5,"relevance_review":"Applications and word problems are engaging and interesting.  The content is up-to-data and relevant.","clarity_rating":5,"clarity_review":"The book does a wonderful job of presenting the material in a logical manner.  Diagrams and illustrations are clear and understandable.  The book is written in an appropriate manner for learners of varying levels of readiness.","consistency_rating":5,"consistency_review":"Notations are consistently used throughout the book.  The book uses a consistent format for each chapter which assists learners as they use the book.","modularity_rating":5,"modularity_review":"The textbook can be subdivided into smaller sections.  I have changed the order of topics covered to match my individual style of teaching.  The subheadings break the material down into logical units so that the instructor can pick and choose topics.","organization_rating":5,"organization_review":"The organization of topics are logically ordered.  Topics are revisited, much like a spiral curriculum, where students see concepts in several places.   Students are able to see the relevancy of the topics and deepen understanding as the course progresses.","interface_rating":5,"interface_review":"The online version is easy to navigate.  Images and charts are clear and do not distract.  I like that students who use the online version can click on the Show Solution option to display the answer.  This allows the learner to try the problem on their own without seeing the solution.  Many of my students routinely use this interactive feature.","grammatical_rating":5,"grammatical_review":"I did not view any grammatical errors within the textbook.","cultural_rating":5,"cultural_review":"The textbook contains no cultural insensitive material.","overall_rating":10,"overall_review":"This is an excellent textbook and is used in more than one course at my institution.  It is well written with good flow.  \r\n\r\nAn index or glossary would be a helpful addition to the textbook.  I would also like the selection of practice problems to be expanded in varying degree of difficulty so that learners, who are at different levels of readiness, can practice.","created_at":"2020-03-10T18:44:56.000-05:00","updated_at":"2020-03-10T18:44:56.000-05:00"},{"id":3815,"first_name":"Carl","last_name":"Yao","position":"Math Instructor","institution_name":"Portland Community College","comprehensiveness_rating":5,"comprehensiveness_review":"The textbook coveres all possible topics in Precalculus.","accuracy_rating":5,"accuracy_review":"I didn't find any error.","relevance_rating":5,"relevance_review":"The textbook is general enough not to be outdated soon.","clarity_rating":5,"clarity_review":"The textbook is easily readable.","consistency_rating":5,"consistency_review":"The textbook uses good terminology.","modularity_rating":5,"modularity_review":"The textbook is in traditional sequence.","organization_rating":5,"organization_review":"The textbook is in a traditional sequence.","interface_rating":5,"interface_review":"No navigation issues at all.","grammatical_rating":5,"grammatical_review":"I didn't find too many grammar errors.","cultural_rating":4,"cultural_review":"n/a","overall_rating":10,"overall_review":"This is a great resource for Precalculus classes. Instructors passionate about saving students money should choose this textbook. Highly recommended!","created_at":"2020-05-14T16:47:31.000-05:00","updated_at":"2020-05-14T16:47:31.000-05:00"},{"id":4192,"first_name":"Valeria","last_name":"D'Orazio","position":"Assistant Professor","institution_name":"Massachusetts Maritime Academy","comprehensiveness_rating":5,"comprehensiveness_review":"This book covers all topics and more of a standard Precalculus  course.","accuracy_rating":5,"accuracy_review":"No errors were found in the online version. An errata document is provided for early editions of the textbook.","relevance_rating":5,"relevance_review":"Many examples from different fields of study are presented. They are classic problems arranged by level of difficulty.  In addition, the use of a graphing calculator to model real life data makes the problems interesting and real.","clarity_rating":5,"clarity_review":"The structure of his textbook makes it easy for students to follow the presentations of the topics. Important concepts and formulas are highlighted to promote easy access to information, understanding, and retention of the subject.","consistency_rating":5,"consistency_review":"The book is organized in a consistent format, common to other Precalculus textbooks,  so that its content can be easily accessed by both students and instructors.","modularity_rating":5,"modularity_review":"Topics are clearly explained and organized in subsections. Consistently, introductions and explanations of new concepts are backed up with examples explained in details and extra practice exercises. PowerPoint slides are also corresponding in pattern with the textbook","organization_rating":5,"organization_review":"The organization and choice of topics presented follow standard Precalculus textbooks.","interface_rating":5,"interface_review":"Interface is clear and offers a schematic and synthetic representation of the subject. Both textbook and additional resources can be easily located and downloaded.","grammatical_rating":5,"grammatical_review":"No errors found.","cultural_rating":5,"cultural_review":"I find course materials to be current, accurate, fair, and inclusive of a diverse population of students.","overall_rating":10,"overall_review":"n/a","created_at":"2020-06-30T15:48:03.000-05:00","updated_at":"2020-06-30T15:48:03.000-05:00"},{"id":4803,"first_name":"Tracy","last_name":"McCoy","position":"Math Instructor","institution_name":"Midlands Technical College","comprehensiveness_rating":5,"comprehensiveness_review":"I did not find any holes in the topics where a topic my college covers was not in this text.","accuracy_rating":5,"accuracy_review":"This book has been vetted.  I did not find errors.","relevance_rating":5,"relevance_review":"I found the examples relevant and the topics organized in a good way.  For instance, when teaching the Law of Sines, I was so happy to see Abramson included area.  Also, I liked the organization of the section on Vectors.  We are lucky in algebra and trigonometry where the topics are not changing.","clarity_rating":4,"clarity_review":"I am unsure if my confusion with the Identities chapter was just me or if others will feel the same.  I try to keep identities as simple as possible, but that is hard to do.  Many problems were set as true or false, so would have liked to have more true examples.  Well, I would have preferred to not have them set as true or false. Again, this may be just me.","consistency_rating":5,"consistency_review":"The text was consistent.","modularity_rating":5,"modularity_review":"I enjoyed experimenting with the html version and pdf version. Both have navigation panels for good movement through the text by section. In the HTML version of the book, the solutions of the examples in the section are hidden.  This feature will be helpful for anyone using a touchscreen device, and OpenStax has an App for this.","organization_rating":5,"organization_review":"I found the topics well organized.","interface_rating":5,"interface_review":"Nothing stands out.  The topics are organized in a coherent way.  The sections are easy to follow.  The examples make sense.","grammatical_rating":5,"grammatical_review":"This book has been vetted.  I did not find errors.","cultural_rating":4,"cultural_review":"I did not find any issues.  In fact, I have not read a problem with any gender.  It would be \"a scientist\" or \"a skateboarder.\"","overall_rating":10,"overall_review":"I found  Algebra and Trigonometry on OpenStax a while ago.  When I had to find a book quickly for a dual enrollment (DE) class this semester, I began using the book.  The class went well.  Students did not have any complaints with not having a book in hand.  Now that I have approval from my department chair to run a pilot in Fall 2021, I will have the book in our bookstore for purchase and copies in our library on reserve.  The pilot classes will use this text for MAT 110- College Algebra and MAT 111-Trigonometry, but could have used Precalculus as it has the same layout and text.\r\n\r\nThere are several support documents in Instructor Resources on OpenStax.  One is the Solutions Manual.  I used this regularly, which had good explanations. I did not like the formatting being in Word but it was easy to find what I needed.  Also, the site has recorded lectures and notes for you to use.  There are two support documents I will definitely use for the pilot, the PowerPoint slides and the Corequisite Skillsheets.  One caution, the PowerPoint slides are not whole presentations but instead are the slides of graphs to embed in your presentations. Since I change all presentations from books to my own style, this is perfect for me.  Finally, I cannot wait to utilize the Corequisite Skillsheets that provide a little more background for students who may need that. \r\n\r\nOverall, I enjoyed using this book and highly recommend checking it out.  I hope you will decide to use it.","created_at":"2021-04-20T12:01:31.000-05:00","updated_at":"2021-04-20T12:01:31.000-05:00"},{"id":33406,"first_name":"Yanwu","last_name":"Ding","position":"Associate Professor","institution_name":"Wichita State University","comprehensiveness_rating":4,"comprehensiveness_review":"The book explores the algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry","accuracy_rating":4,"accuracy_review":"The book provides good examples","relevance_rating":5,"relevance_review":"The book provides helpful resources for audience","clarity_rating":4,"clarity_review":"The book is clear about the concepts and calculations related","consistency_rating":4,"consistency_review":"The book provides solid explanations for the terms of terminologies.","modularity_rating":4,"modularity_review":"The book breaks down to small sections for easy to read","organization_rating":4,"organization_review":"The book is very organized","interface_rating":4,"interface_review":"it is good","grammatical_rating":5,"grammatical_review":"I did not notice grammatical errors","cultural_rating":5,"cultural_review":"The book uses example considering various backgrounds of audiences","overall_rating":9,"overall_review":"The examples in the book are very helpful","created_at":"2021-10-12T12:05:14.000-05:00","updated_at":"2021-10-12T12:05:14.000-05:00"},{"id":35818,"first_name":"Minna","last_name":"Mahlab","position":"Director","institution_name":"Grinnell College","comprehensiveness_rating":5,"comprehensiveness_review":"The text provides a thorough introduction to algebra and trigonometry and includes a review of requisite math skills leading into these subjects.  It is well organized for new students and returning students wishing to review.  The index entries could use refinement and clarification of terms for the new student.","accuracy_rating":5,"accuracy_review":"I did not find any content errors in the text, though I did not check all the examples and embedded videos for accuracy.  The examples are clear of cultural biases that generally impact international students unfamiliar with sports, in particular.","relevance_rating":5,"relevance_review":"Fortunately, the basics of algebra and geometry have not changed in recent history.  The embedded videos are an excellent addition for students unwilling or unable to use text exclusively, though the text is best suited for students willing to practice examples to develop proficiency.","clarity_rating":5,"clarity_review":"The author’s expertise in teaching these subjects is evident in the clarity of the text and explanations and organization of examples and problems, offering students the opportunity to develop skills and confidence with simpler examples before leading into more complicated problem solving.  The extensions and Real World applications provide connections to other disciplines.","consistency_rating":4,"consistency_review":"I did not find inconsistencies in terminology, and given the number of authors, there must have been a good editor.  Some sections offered more practice than others.  When there are many examples, it may be useful to separate repetitive practice problems into an “optional” section or category.","modularity_rating":5,"modularity_review":"I have suggested this text to students for review of concepts, and they report ease in locating the content needed using the index without having to page back and forth.","organization_rating":5,"organization_review":"There is a well-designed flow to this text such that I did not identify and concepts not already addressed as I worked through it.  Students with minimal exposure to these concepts may disagree.","interface_rating":4,"interface_review":"I found the PDF version quicker to load and easier to navigate when looking for specific topics, but the ebook version easier to use when reading as a student might.","grammatical_rating":5,"grammatical_review":"I did not find obvious errors in grammar, thought the subject matter does not lend itself to these errors.","cultural_rating":4,"cultural_review":"The text did not seem to rely, as some older texts do, on culturally specific references that might perplex unfamiliar students.  The introduction to each chapter is well documented, so that even students unfamiliar with, say, economics, can understand references to “the dot com bubble” without having heard it previously.  An explicit reference to inclusive teaching could be mentioned as important and beyond the scope of this text.","overall_rating":9,"overall_review":"I will confidently refer students to this text as a well vetted review of math skills, highlighting the video options for illustration and the wealth of practice offered.","created_at":"2026-03-08T13:33:27.000-05:00","updated_at":"2026-03-08T13:33:27.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/algebra-and-trigonometry?locale=es","updated_at":"2026-05-18T12:03:50.000-05:00"},{"id":57,"title":"College Trigonometry","edition_statement":null,"volume":null,"copyright_year":2011,"ISBN10":null,"ISBN13":null,"license":"Attribution-NonCommercial-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"","description":"Covers chapters 10-11 of Precalculus.","contributors":[{"id":2217,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Carl","middle_name":null,"last_name":"Stitz","location":"Lakeland Community College","background_text":"Carl Stitz, Ph.D. is a Professor of Mathematics at Lakeland Community College outside of Kirtland, Ohio."},{"id":2218,"contribution":"Author","primary":false,"corporate":false,"title":null,"first_name":"Jeff","middle_name":null,"last_name":"Zeager","location":"Lorain County Community College","background_text":"Jeff Zeager, Ph.D. is an Associate Professor of Mathematics at Lorain County Community College in Elyria, Ohio. Dr. Stitz and Dr. Zeager co-wrote this college algebra textbook with the vision of creating a high-quality, open-source textbook that is within reach and accessible to the average college student. In recognition of their work, both authors received the prestigious Faculty Innovator Award from the University System of Ohio in 2010."}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":36,"name":"Pure","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":83,"url":"https://open.umn.edu/opentextbooks/subjects/pure?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":54,"url":"http://www.stitz-zeager.com/Precalculus/Stitz_Zeager_Open_Source_Precalculus.html","year":null,"created_at":"2018-09-07T12:22:36.000-05:00","updated_at":"2018-09-07T12:22:36.000-05:00","name":"Stitz Zeager Open Source Mathematics"}],"formats":[{"id":62,"type":"PDF","url":"http://www.stitz-zeager.com/szct07042013.pdf","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":63,"type":"Hardcopy","url":"http://www.lulu.com/shop/carl-stitz-and-jeff-zeager/trigonometry%2C-3rd-edition/paperback/product-16218448.html","price":{"cents":1063,"currency_iso":"USD"},"isbn":null}],"rating":"4.5","textbook_reviews_count":3,"reviews":[{"id":99,"first_name":"Tim","last_name":"Delworth","position":"Continuing Lecturer","institution_name":"Purdue University","comprehensiveness_rating":5,"comprehensiveness_review":"A quick glance at the table of contents shows that all the major topics of a college trigonometry course are included. We cover Conics and Rational Functions in our Trigonometry course. While not found in this textbook, they are covered in the companion College Algebra textbook. We will have to combine the two text books is some form to continue the same coverage as we have enjoyed in the past.","accuracy_rating":3,"accuracy_review":"Accuracy is something best judged when using the textbook during the semester and not during a quick review. It seems to be as accurate as any textbook I have used. I like the simple layout. The graphs and diagrams are clean and straight to the point. I am concerned that the few aviation problems use bearings, instead of a compass. Aviation uses due North as 0 degrees and the angles open clockwise to 360 degrees. As we have a very large Aviation Technology program at Purdue, we will have to edit the text for these problems.","relevance_rating":3,"relevance_review":"Trigonometry concepts have not changed for centuries and I expect they will not during my lifetime. The graphing calculator diagrams are fine as long as students are using that type of graphing calculator or if they are allowed to use one. However, that is the great thing about this format. As technology changes, we simple upload an updated version of the textbook. I do not see relevance as an issue.","clarity_rating":5,"clarity_review":"I like the ease of language and pace of the author's voice. It seems more of a conversion rather than a lecture. At some point, it is impossible to avoid mathematical talk, and students will have to read, and reread, sections to fully understand a concept. Brief history lessons as to why the word tangent is used is a nice touch. The grey boxes are easy to understand and highlight important information. The text is clean and to the point.","consistency_rating":5,"consistency_review":"The text is consistent and to the point. It looks to use the same tempo and language throughout the chapters. The pace is easy going. I did not see any large changes in language or evidence that different people wrote each chapter. It all fits nicely.","modularity_rating":5,"modularity_review":"This is tough to determine until we give is a serious look and see how it fits with our current course offering. It seems to be very easy to divide into lessons and rearrange if necessary. We have to get 40 lessons out of this textbook and it looks like that will be easy to accomplish. We will have to drag in some chapter and sections from the companion College Algebra text to complete our course. Again, that is the beauty of this format.","organization_rating":5,"organization_review":"Only 2 chapters, so hard to get disorganized, however, I like that it introduces the unit circle early. It has the normal flow through the topics. Again, we would have to use some of the earlier chapters from the companion College Algebra textbook to fill in the missing topics that are covered in our Trigonometry course.","interface_rating":5,"interface_review":"I do not see any problems with the graphs, diagrams, or examples. The textbook has very clean and clear graphs that add to the students understanding of the material. Now, to get the students to read and study the text...","grammatical_rating":5,"grammatical_review":"Wow, you are asking a math major to critique the textbook's grammar! It looks fine.","cultural_rating":5,"cultural_review":"No problems.","overall_rating":9,"overall_review":"As mentioned before, the aviation problems will have to be edited for accuracy. I am sure we will have other edits if we adopt this textbook, however, it provides a great platform for us to create exactly what we need.","created_at":"2014-07-15T19:00:00.000-05:00","updated_at":"2014-07-15T19:00:00.000-05:00"},{"id":3946,"first_name":"John","last_name":"Niss","position":"Professor of Mathematics","institution_name":"Valencia College","comprehensiveness_rating":4,"comprehensiveness_review":"The content is exactly what I would like for a trigonometry text with the bonus of dot products, projections and parametric equations. Those are in the last few chapters, so they are easily omitted. There are occasions when definitions for term (unit circle, for example) are not included; In that case the index indicates the term is defined on page 501 where the text I have starts on page 693. There must be a previous volume that I am not spotting. I'm sure if I did my research I could find it, though.","accuracy_rating":5,"accuracy_review":"I see no problems with the accuracy of the content. It's not always presented exactly as I would, but that's always the case with any text.","relevance_rating":5,"relevance_review":"The exercises in context in this text are not likely to become dated particularly quickly. It's a trigonometry text so a large portion of those problems from are physics or other sciences and will remain relevant.","clarity_rating":4,"clarity_review":"I understand why the authors might limit the white space in the exposition for the sake of a printed textbook. However, for the e-text version, the text sometimes felt a bit dense.","consistency_rating":5,"consistency_review":"This is a well written trigonometry text and the use of terminology and explanatory style is consistent throughout.","modularity_rating":5,"modularity_review":"Modularity is not really an issue with a Trigonometry text. The material is laid out in a very traditional way and in appropriate length sections. Reorganizing or realigning would be a rotten idea as the material develops in a logically consistent and constructivist approach which reorganizing would destroy.","organization_rating":5,"organization_review":"See the comment for Modularity. This text is very well organized and helps a student move through the development of the logic and skills necessary to master trigonometry.","interface_rating":5,"interface_review":"There are no problems with the interface.","grammatical_rating":5,"grammatical_review":"I found no grammatical errors.","cultural_rating":4,"cultural_review":"There is no cultural insensitivity - unless you are a sasquatch. There are a whole bunch of examples involving them.  Examples seem to be conscious about not including any cultural context, which while not insensitive might be seen as a bit of a cop out.","overall_rating":9,"overall_review":"As instructional materials for a trigonometry course, this is a very reasonable option - particularly as it would be an over $100 savings for students over a traditional text, even used.","created_at":"2020-06-11T13:00:25.000-05:00","updated_at":"2020-06-11T13:00:25.000-05:00"},{"id":35857,"first_name":"Matthew","last_name":"Beyranevand","position":"Assistant Teaching Professor","institution_name":"University of Massachusetts Lowell","comprehensiveness_rating":4,"comprehensiveness_review":"The book is comprehensive in its coverage of trigonometry itself, with strong depth and logical organization. Its only notable gap is that it assumes integration with a companion algebra text for full precalculus coverage. Some topics could be enhanced further because of their importance (graphing sin and cos)","accuracy_rating":5,"accuracy_review":"The content is accurate and trustworthy for instructional use. A few minor typos appear, but there are no significant mathematical errors or biases that would limit its effectiveness in a college trigonometry course.","relevance_rating":5,"relevance_review":"The text is pedagogically and mathematically up-to-date, with strong long-term relevance. Its open license and modular design make it particularly well-suited for ongoing revision, ensuring it can remain current with minimal effort from instructors or institutions. The math does not change :)","clarity_rating":4,"clarity_review":"The text is clear and pedagogically strong, particularly in its explanations and examples. Minor issues with density and presentation prevent it from being exceptional, but it remains highly usable for most students and instructors. Could use some color.","consistency_rating":5,"consistency_review":"The text demonstrates a high level of internal consistency, making it reliable and easy to follow over the course of a semester.","modularity_rating":4,"modularity_review":"The text is flexible and adaptable for most course structures, with clear organization and reasonable independence between sections. Minor dependencies and occasional length/density prevent it from being fully modular, but it remains easy to reorganize with minimal effort.","organization_rating":5,"organization_review":"The text’s organization is a major strength. Its logical sequencing and consistent structure make it easy to follow and effective for teaching and learning. The text is very well organized, with topics presented in a logical and pedagogically sound sequence.","interface_rating":3,"interface_review":"The interface is reliable and usable but clearly dated. It works without major technical problems, but navigation and visual design are less refined than contemporary digital textbooks.","grammatical_rating":5,"grammatical_review":"No issues found.","cultural_rating":4,"cultural_review":"The text is respectful and unbiased, but largely neutral rather than actively inclusive. It avoids problems, though it could do more to incorporate diverse contexts and perspectives. SOmething that could be added is related to the historical development of Trig.  In particular the Indians.","overall_rating":9,"overall_review":"This is a high-quality, academically rigorous, and flexible open textbook. While it lacks modern design features, its clarity, depth, and adaptability make it a very strong choice for college trigonometry, particularly in instructor-led environments.","created_at":"2026-04-09T18:04:58.000-05:00","updated_at":"2026-04-09T18:04:58.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/college-trigonometry?locale=es","updated_at":"2026-05-18T12:03:49.000-05:00"},{"id":743,"title":"Geometry with an Introduction to Cosmic Topology","edition_statement":"2018 Edition","volume":null,"copyright_year":2020,"ISBN10":"1717134815","ISBN13":"9781717134813","license":"Attribution-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"","description":"Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits. Geometry is suitable for a semester course in non-Euclidean geometry or as a guide to independent study, with over 200 exercises and several essays on topics including the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.","contributors":[{"id":4922,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Michael","middle_name":"P.","last_name":"Hitchman","location":"Linfield College","background_text":""}],"subjects":[{"id":35,"name":"Applied","parent_subject_id":7,"call_number":"QA37.3","visible_textbooks_count":48,"url":"https://open.umn.edu/opentextbooks/subjects/applied?locale=es"},{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":722,"url":"https://mphitchman.com/","year":2024,"created_at":"2019-07-13T12:04:42.000-05:00","updated_at":"2024-08-14T18:03:47.000-05:00","name":"Michael P. Hitchman"}],"formats":[{"id":1336,"type":"Online","url":"https://mphitchman.com/gct/download.html","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":1268,"type":"PDF","url":"https://mphitchman.com/gct/download.html","price":{"cents":0,"currency_iso":"USD"},"isbn":null},{"id":1337,"type":"Hardcopy","url":"https://www.amazon.com/Geometry-Introduction-Topology-Michael-Hitchman/dp/1717134815/","price":{"cents":891,"currency_iso":"USD"},"isbn":null}],"rating":"5","textbook_reviews_count":1,"reviews":[{"id":3345,"first_name":"Katherine","last_name":"Brandl","position":"Associate Professor","institution_name":"Centenary College of Louisiana","comprehensiveness_rating":4,"comprehensiveness_review":"This book is jam-packed with material, and includes some history of the subject along with some of the basics before venturing into more advanced mathematics. My students tend to need a little more of the basics. I generally need to do some review of the geometry they learned in high school and a refresher on proofs. When I've used this book in the past I have supplemented with material from other texts.","accuracy_rating":5,"accuracy_review":"I have not come across any errors in the text.","relevance_rating":5,"relevance_review":"This text has an interesting perspective on geometry that is both modern and timeless.","clarity_rating":5,"clarity_review":"The language is clear and understandable for a typical mathematics major or minor.","consistency_rating":5,"consistency_review":"The language and notation are consistent throughout.","modularity_rating":5,"modularity_review":"As math texts go it is actually quite modular. While many sections rely on information from previous sections, some of the chapters can be used on their own. In the past I have used this text to supplement another text. I could also imagine using this as the main text, possibly supplementing with another text.","organization_rating":5,"organization_review":"The text is well organized. Material in the later chapters builds on material in earlier chapters.","interface_rating":5,"interface_review":"There are no problems with the interface.","grammatical_rating":5,"grammatical_review":"I have not found any grammatical errors.","cultural_rating":5,"cultural_review":"This is not really relevant for a  geometry text.","overall_rating":10,"overall_review":null,"created_at":"2019-12-03T15:26:31.000-06:00","updated_at":"2019-12-03T15:26:31.000-06:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/geometry-with-an-introduction-to-cosmic-topology?locale=es","updated_at":"2026-05-18T12:03:52.000-05:00"},{"id":508,"title":"Elementary College Geometry","edition_statement":"2021 ed.","volume":null,"copyright_year":2021,"ISBN10":null,"ISBN13":null,"license":"Attribution-NonCommercial-ShareAlike","language":"eng","accessibility_statement":null,"accessibility_features":"unknown","description":"This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.","contributors":[{"id":4340,"contribution":"Author","primary":true,"corporate":false,"title":null,"first_name":"Henry","middle_name":null,"last_name":"Africk","location":"New York City College of Technology","background_text":"Henry Africk is a Professor in the Mathematics department at New York City College of Technology, Brooklyn, NY"}],"subjects":[{"id":85,"name":"Geometry and Trigonometry","parent_subject_id":7,"call_number":"QA440-699","visible_textbooks_count":10,"url":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry?locale=es"},{"id":7,"name":"Mathematics","parent_subject_id":null,"call_number":"QA1","visible_textbooks_count":177,"url":"https://open.umn.edu/opentextbooks/subjects/mathematics?locale=es"}],"publishers":[{"id":453,"url":"https://academicworks.cuny.edu/ny_oers/6/","year":null,"created_at":"2018-09-07T12:22:40.000-05:00","updated_at":"2018-09-07T12:22:40.000-05:00","name":"CUNY Academic Works"}],"formats":[{"id":774,"type":"PDF","url":"https://academicworks.cuny.edu/cgi/viewcontent.cgi?article=1051\u0026context=ny_oers","price":{"cents":0,"currency_iso":"USD"},"isbn":null}],"rating":"5","textbook_reviews_count":1,"reviews":[{"id":35630,"first_name":"Larissa","last_name":"Shatalova","position":"Instructor, PhD, Math department","institution_name":"Lane Community College","comprehensiveness_rating":5,"comprehensiveness_review":"The textbook Elementary College Geometry (2021 ed.) offers a comprehensive and well-balanced selection of topics, suitable both for a full introductory geometry course and as a modular supplement to other mathematical disciplines.\r\nKey thematic areas include:\r\nBasic geometric definitions (points, lines, planes, angles),\r\nCongruence and similarity,\r\nTriangles and quadrilaterals,\r\nCircles and polygons,\r\nArea and perimeter of plane figures,\r\nSurface area and volume of solids,\r\nCoordinate geometry, and\r\nLogical reasoning and proofs.\r\nEach topic is introduced with clear explanations, step-by-step examples, and practice problems that reinforce conceptual understanding. The structure allows instructors to select individual chapters to reinforce specific topics in other courses, such as:\r\nUsing triangle congruence in algebra or trigonometry,\r\nExploring coordinate geometry in pre-calculus or data visualization,\r\nIntroducing deductive logic in liberal arts math.\r\nThe inclusion of review sections and solution checking strategies further enhances the book’s comprehensiveness, making it not only a source of information but also a tool for developing mathematical confidence and independence.","accuracy_rating":5,"accuracy_review":"The textbook demonstrates a high level of mathematical accuracy and precision throughout. Definitions are stated clearly, theorems are properly formulated and attributed, and logical reasoning is consistent with standard mathematical practices.\r\nDiagrams are carefully constructed and correctly labeled, supporting the explanations without oversimplifying key ideas.\r\nTerminology is used consistently and appropriately, making the book suitable both for beginners and as a reference for more advanced learners.\r\nWorked examples follow logically sound steps and include no computational or conceptual errors.\r\nExercises are well-aligned with the chapter goals, and answer keys (when provided) reinforce correct reasoning without encouraging rote memorization.\r\nImportantly, the book manages to balance accessibility with rigor, which is often difficult to achieve in introductory geometry texts. It avoids common pitfalls such as vague visual arguments or over-reliance on intuition, instead guiding students toward formal mathematical thinking in a friendly, structured way.","relevance_rating":5,"relevance_review":"The content of Elementary College Geometry (2021 ed.) is highly relevant to the needs of today’s mathematics curriculum, despite the unfortunate trend of removing stand-alone geometry courses in many colleges.\r\nGeometry remains a foundational component of mathematical reasoning, spatial understanding, and problem-solving — skills that are essential across numerous disciplines including:\r\nAlgebra and trigonometry (e.g., triangle properties, coordinate systems),\r\nPre-calculus and calculus (e.g., limits involving area and volume),\r\nLiberal arts math (e.g., logic, reasoning, visual proof structures),\r\nTechnical programs (e.g., drafting, architecture, computer science),\r\nAnd even standardized testing and teacher preparation programs.\r\nThis textbook fills a growing gap by offering a flexible, modular resource that instructors can integrate into various courses without requiring a full-term geometry offering.\r\nFurthermore, its OER format ensures broad accessibility and affordability, aligning with current equity-focused educational initiatives.\r\nIn an era where geometric intuition is often assumed but rarely taught, this textbook provides relevant, structured, and accessible support for both students and instructors seeking to strengthen geometric thinking in a wide variety of learning contexts.","clarity_rating":5,"clarity_review":"One of the standout features of Elementary College Geometry (2021 ed.) is its remarkable clarity in both exposition and structure. The author uses simple, direct language without sacrificing mathematical precision, making the content highly accessible to a wide range of learners — including those who may not have strong algebraic or spatial backgrounds.\r\nEach concept is introduced gradually, with clear motivation, followed by intuitive diagrams and step-by-step examples.\r\nDefinitions and theorems are presented in a visually distinct format, which supports scanning and retention.\r\nThe logical flow from explanation → example → practice → review helps reduce cognitive overload and encourages deep comprehension rather than surface memorization.\r\nParticularly commendable is the author’s ability to balance formal mathematical rigor with an informal, welcoming tone. The text does not assume prior mastery — instead, it guides the learner gently toward geometric understanding.\r\nThis clarity makes the book not only suitable for traditional classroom use, but also ideal for:\r\nSelf-study,\r\nTutoring sessions,\r\nSupplemental reading for non-STEM students in general math courses.","consistency_rating":5,"consistency_review":"Elementary College Geometry (2021 ed.) maintains a high degree of consistency across chapters  (Chapter 3 uses the same triangle notation introduced in Chapter 1) , examples, terminology, and visual design.\r\nMathematical notation is applied uniformly throughout the text, reducing confusion and supporting transfer of learning from one topic to the next.\r\nThe structure of each chapter follows a predictable and pedagogically sound pattern:\r\nClear introduction of concepts,\r\nFollowed by illustrative examples,\r\nThen exercises and review sections.\r\nTerminology is introduced once, then used consistently without unnecessary variation, which is particularly helpful for non-native English speakers or students with learning differences.\r\nThe visual formatting (such as how definitions, theorems, and key steps are boxed or highlighted) remains consistent from beginning to end, providing cognitive scaffolding and reinforcing the structure of mathematical arguments.\r\nFurthermore, the instructional tone is steady — approachable but precise — giving the textbook a cohesive voice that supports student trust and engagement.\r\n","modularity_rating":5,"modularity_review":"One of the most valuable features of Elementary College Geometry (2021 ed.) is its strong modular design. Each chapter is self-contained and thematically focused, allowing instructors to easily extract and integrate individual sections into other math courses without requiring prior knowledge of the entire text.\r\nInstructors can assign a single chapter — such as triangle congruence, area and perimeter, or logical proofs — to support specific units in algebra, trigonometry, or liberal arts math.\r\nChapters begin with a clear introduction and end with practice and review, making them ideal for stand-alone use in tutoring centers, workshops, or supplemental learning modules.\r\nThere are no excessive cross-references that depend on material from earlier chapters, which allows for flexibility in sequence.\r\nThis modularity also makes the book highly suitable for custom course shells in LMS platforms (e.g., Canvas, Moodle), where chapters can be uploaded and reorganized as needed.\r\n\r\nBecause of its modular structure, the book aligns well with current trends in competency-based education and flipped classroom models, where instructors may choose to focus on specific skills or concepts rather than progressing linearly through a textbook.","organization_rating":5,"organization_review":"Elementary College Geometry (2021 ed.) is organized in a clear, logical, and pedagogically sound manner. The progression of topics reflects a natural development of geometric reasoning, starting from foundational definitions and building gradually toward more complex ideas.\r\nThe book begins with basic elements of geometry — points, lines, angles — and moves steadily through triangles, quadrilaterals, circles, solids, coordinate geometry, and proofs.\r\nEach chapter follows a consistent internal structure:\r\nIntroductory explanations to set the stage,\r\nWorked examples to illustrate new concepts,\r\nPractice exercises to reinforce learning,\r\nAnd often a review or summary to consolidate understanding.\r\nThe chapter sequencing supports cumulative learning, where each new topic builds on the previous without abrupt transitions or unnecessary repetition. Even when chapters are used out of order (thanks to its modularity), the internal organization remains coherent and learner-friendly.\r\nHeaders, typography, and visual cues (such as boxed theorems and step-by-step diagrams) are well-designed to guide students through the content with minimal friction.\r\nThis thoughtful organization makes the textbook suitable not only for semester-long courses, but also for compressed, modular, or self-paced formats, where clarity and navigability are essential.","interface_rating":5,"interface_review":"The interface and formatting of Elementary College Geometry (2021 ed.) are clear, functional, and highly readable in both digital and printed formats.\r\nThe PDF layout is clean, with generous spacing, consistent fonts, and logical use of headings and subheadings. This supports ease of navigation and reduces visual fatigue, especially for students reading on screens.\r\nMathematical expressions are typeset clearly, with no rendering errors or awkward line breaks, making the material easy to follow even in complex proofs.\r\nDiagrams are well-integrated with the text — not just decorative, but truly supportive of the explanations. Labels are legible, and figures are placed close to the relevant discussion.\r\nInternal page navigation is intuitive, with numbered sections and a hyperlinked table of contents that works reliably in digital view.\r\nThe file opens smoothly on most devices (laptops, tablets, even smartphones), and prints well for those who prefer physical copies.\r\nAlthough the book is not interactive (as some HTML-based OERs may be), its static interface is stable and distraction-free, which can be a benefit in focused study environments.","grammatical_rating":5,"grammatical_review":"The textbook Elementary College Geometry (2021 ed.) exhibits a high level of grammatical correctness and editorial polish.\r\nSentences are well-structured and free of distracting grammatical errors, allowing students to focus on the mathematical content rather than deciphering unclear phrasing.\r\nThe writing maintains a consistent academic tone, while remaining accessible and conversational enough for introductory learners.\r\nMathematical terminology is used appropriately and integrated seamlessly into explanations, without awkward transitions or misuse.\r\nThere are no noticeable typos, spelling mistakes, or punctuation issues across chapters reviewed — a rare and commendable trait in OER materials.\r\nThis grammatical clarity enhances the overall credibility and professionalism of the textbook and supports its use in both formal instruction and independent learning.","cultural_rating":5,"cultural_review":"While Elementary College Geometry (2021 ed.) is a traditional mathematics text focused on abstract geometric concepts, it maintains a culturally neutral tone and avoids biased or exclusionary language.\r\nThe problems and examples are mathematically universal, without reliance on culturally specific contexts, which ensures broad accessibility for students from diverse backgrounds.\r\nThere are no instances of gendered, stereotypical, or culturally insensitive language, and the visuals are purely mathematical, minimizing potential distractions or biases.\r\nAlthough the book does not actively incorporate culturally responsive pedagogy (e.g., real-world examples tied to diverse cultures or student experiences), its clarity and neutrality make it adaptable for inclusive instruction.\r\nInstructors who wish to bring in cultural context can easily supplement the textbook with their own examples or applications, without needing to \"work around\" any problematic content.","overall_rating":10,"overall_review":"Final Recommendation\r\nBased on a detailed review of Elementary College Geometry (2021 ed.) by Henry Africk, I will be recommending this textbook to our department as a supplementary resource across multiple mathematics courses.\r\nWhile our current curriculum does not include a dedicated geometry course, the absence of formal geometric instruction creates noticeable gaps in student understanding — particularly in areas requiring spatial reasoning, deductive logic, or visual proof structures.\r\nThis textbook:\r\nprovides clear and accurate explanations,\r\noffers flexible modular use,\r\nmaintains high editorial quality and pedagogical clarity,\r\nand remains culturally neutral and accessible.\r\nWhether integrated as individual chapters in courses like Math 98, Math 105Z, or Math 111, or used for tutoring and self-study, Elementary College Geometry serves as a strong foundation for reintroducing essential geometric thinking into our program — without needing to create a new course from scratch.\r\nInstructors across the department can benefit from its clarity, structure, and adaptability. I strongly recommend that it be included in our list of officially supported OER materials and made available to students as an optional enrichment resource.","created_at":"2025-09-14T13:46:27.000-05:00","updated_at":"2025-09-14T13:46:27.000-05:00"}],"url":"https://open.umn.edu/opentextbooks/textbooks/elementary-college-geometry?locale=es","updated_at":"2025-09-14T13:46:27.000-05:00"}],"links":{"self":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry.json?locale=es?page=1","total_pages":2,"total_count":12,"next":"https://open.umn.edu/opentextbooks/subjects/geometry-and-trigonometry.json?locale=es?page=2"}}