tag:open.umn.edu,2005:/opentextbooks/subjects/algebraOpen Textbook Library - Algebra Textbooks2021-06-28T21:12:50Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png10162023-09-01T00:00:00Z2024-01-14T06:56:03ZLinear Transformations on Vector Spaces<img alt="Read more about Linear Transformations on Vector Spaces" title="Linear Transformations on Vector Spaces cover image" class="cover " width="750" height="971" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6OTMxOCwicHVyIjoiYmxvYl9pZCJ9fQ==--430d90255dce93bf4772ad756327ee0baf94269f/Linear%20Transformations%20resized.png" />Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.12482022-09-05T20:47:21Z2024-01-22T14:52:42ZAdvanced Algebra v. 1.0<img alt="Read more about Advanced Algebra v. 1.0" title="Advanced Algebra v. 1.0 cover image" class="cover " width="610" height="718" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mzk4MywicHVyIjoiYmxvYl9pZCJ9fQ==--8e75c97987f9fcb0b25b02d21a7f4d941d357fe0/Screen%20Shot%202022-09-05%20at%203.47.09%20PM.png" />Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra clearly lays out the steps required to build the skills needed to solve a variety of equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, Intermediate Algebra was written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.12322022-08-22T18:21:44Z2024-01-22T14:52:41ZBasic Algebra with Applications - 6th Edition<img alt="Read more about Basic Algebra with Applications - 6th Edition" title="Basic Algebra with Applications - 6th Edition cover image" class="cover " width="543" height="706" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzkzOCwicHVyIjoiYmxvYl9pZCJ9fQ==--968868a234b0280add16a90f0cd0fe1aa2a4e13e/Screen%20Shot%202022-08-22%20at%201.19.12%20PM.png" />Basic Algebra with Applications12242022-08-08T16:46:07Z2024-01-22T14:52:33ZTea Time Linear Algebra Explorations in Mathematics - 2nd Edition<img alt="Read more about Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition" title="Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition cover image" class="cover " width="383" height="500" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mzg5NCwicHVyIjoiYmxvYl9pZCJ9fQ==--fe3446485e3ff29f76b8a233514458028f9a2a72/titlepage-2.png" />This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces. 386 pages Over 1000 exercises with over 200 detailed solutions and hundreds more answers Over 250 illustrations Nearly 150 live SageMathCell links Open source Now with online homework and course management at MyOpenMath! Presented in a conversational style with plenty of motivation, illustrations, applications, and theory, this text should be a comfortable read for most beginning mathematicians. Readers and instructors alike will appreciate the numerous detailed exercise solutions accompanying each section. Examine the distribution of bicycles in the Capital Bikeshare system, model an un-preheated oven baking brownies, reproduce sounds via Fourier series, explore reptiles like the one decorating this cover, and more. Read proofs of the rank and nullity theorem, the determinant expansion formula, existence and uniqueness of solutions of linear systems and others. It's all here in Tea Time Linear Algebra.10992021-11-15T20:19:55Z2024-01-22T14:52:28ZIntermediate Algebra<img alt="Read more about Intermediate Algebra" title="Intermediate Algebra cover image" class="cover " width="234" height="300" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzA3OCwicHVyIjoiYmxvYl9pZCJ9fQ==--1aad477fa2cad5422a1ac629d5bc63f3e77ffbc2/cover.jpg" />Intermediate Algebra is a textbook for students who have some acquaintance with the basic notions of variables and equations, negative numbers, and graphs, although we provide a "Toolkit" to help the reader refresh any skills that may have gotten a little rusty. In this book we journey farther into the subject, to explore a greater variety of topics including graphs and modeling, curve-fitting, variation, exponentials and logarithms, and the conic sections. We use technology to handle data and give some instructions for using a graphing calculator, but these can easily be adapted to any other graphing utility.10982021-11-15T20:10:27Z2024-01-22T14:52:28ZElementary Algebra<img alt="Read more about Elementary Algebra" title="Elementary Algebra cover image" class="cover " width="254" height="328" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzA3NiwicHVyIjoiYmxvYl9pZCJ9fQ==--a8bcf8d0ec7a31990e6c155c7fb9ecb44a17eff8/cover%20(1).png" />This text introduces the basic skills and ideas of algebra.8502020-06-27T15:20:25Z2024-01-22T14:52:16ZElementary Abstract Algebra: Examples and Applications<img alt="Read more about Elementary Abstract Algebra: Examples and Applications" title="Elementary Abstract Algebra: Examples and Applications cover image" class="cover " width="652" height="844" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTEwNiwicHVyIjoiYmxvYl9pZCJ9fQ==--e9453b402203a9769eb78785b354fc6c2917cc31/elemabsalg.png" />This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.6752019-02-28T18:22:20Z2024-01-22T14:52:03ZFundamentals of Matrix Algebra<img alt="Read more about Fundamentals of Matrix Algebra" title="Fundamentals of Matrix Algebra cover image" class="cover " width="557" height="798" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NjIxLCJwdXIiOiJibG9iX2lkIn19--68a82c3c6d917ada6531531a815d9f73b32cd890/0000FunMatAlg.png" />A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations. Numerous examples are given within the easy to read text. This third edition corrects several errors in the text and updates the font faces.6492018-12-14T23:32:20Z2024-02-12T14:09:22ZOpen Resources for Community College Algebra<img alt="Read more about Open Resources for Community College Algebra" title="Open Resources for Community College Algebra cover image" class="cover " width="142" height="227" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NzE4LCJwdXIiOiJibG9iX2lkIn19--7d8e5467dc11c2ef2afe078f5fc9fee850b021a7/ORCCAbrandlogo.png" />Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.6102018-09-16T17:45:37Z2024-01-22T14:52:01ZCollege Algebra & Trigonometry<img alt="Read more about College Algebra & Trigonometry" title="College Algebra & Trigonometry cover image" class="cover " width="648" height="834" data-controller="cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NTM2LCJwdXIiOiJibG9iX2lkIn19--f2a5e683dc84d820ff8096d0bd5df979135c76c1/0000CollegAlg.PNG" />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.
https://open.umn.edu/opentextbooks/subjects/algebra?page=2