tag:open.umn.edu,2005:/opentextbooks/subjects/7?page=10Open Textbook Library - Mathematics Textbooks2018-09-07T17:22:03Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png4622018-09-07T17:22:03Z2024-01-22T14:51:56ZYet Another Calculus Text<img alt="Read more about Yet Another Calculus Text" title="Yet Another Calculus Text cover image" class="cover " width="918" height="982" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzkwLCJwdXIiOiJibG9iX2lkIn19--f1805b3a2845e36d11c47d73a12ced8699166fca/0000YetAnoCal.png" />I intend this book to be, firstly, a introduction to calculus based on the hyperrealnumber system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such asAbraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures onthe Hyperreals. Secondly, I have aimed the text primarily at readers who already have somefamiliarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace istoo fast for most of those without some acquaintance with the basic notions of calculus.4632018-09-07T17:22:03Z2024-01-22T14:51:56ZA Primer of Real Analysis<img alt="Read more about A Primer of Real Analysis" title="A Primer of Real Analysis cover image" class="cover " width="825" height="839" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzkxLCJwdXIiOiJibG9iX2lkIn19--864c61adae81eab2962f3b4d6c0f8f391a65765f/0000PriReaAna.png" />This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.4342018-09-07T17:22:02Z2024-01-22T14:51:56ZEuclidean plane and its relatives<img alt="Read more about Euclidean plane and its relatives" title="Euclidean plane and its relatives cover image" class="cover " width="280" height="420" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mjk1OSwicHVyIjoiYmxvYl9pZCJ9fQ==--1ffd5fd7eb8aa75da07f686bbc21eeb1da2eb6f6/front.png" />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.4432018-09-07T17:22:02Z2024-01-14T06:58:49ZElementary Algebra<img alt="Read more about Elementary Algebra" title="Elementary Algebra cover image" class="cover " width="548" height="546" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzcyLCJwdXIiOiJibG9iX2lkIn19--5c55cc161f90c26d7d5a964b858c85a3b9908d67/9780998625713.png" />Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.4442018-09-07T17:22:02Z2024-01-22T14:51:55ZMy Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition<img alt="Read more about My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition" title="My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition cover image" class="cover " width="1166" height="1435" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzczLCJwdXIiOiJibG9iX2lkIn19--b170d1ac81c58e6b0f86a68c00e6213e93a29c2e/0000MyMathGPS.png" />My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.4472018-09-07T17:22:02Z2024-01-22T14:51:55ZStatistical Inference For Everyone<img alt="Read more about Statistical Inference For Everyone" title="Statistical Inference For Everyone cover image" class="cover " width="925" height="1203" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mzc2LCJwdXIiOiJibG9iX2lkIn19--e921e151ddc50d5bb9ecca3be0c6f6be7e2bcd12/0000StatInfer.png" />This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.4322018-09-07T17:22:01Z2024-01-22T14:52:10ZIntroductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition<img alt="Read more about Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition" title="Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition cover image" class="cover " width="872" height="1107" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzYxLCJwdXIiOiJibG9iX2lkIn19--9815f4a4b97bba037a543f368ade2fe81628e76a/0000IntBusCan.png" />Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition is an adaptation of Thomas K. Tiemann's book, Introductory Business Statistics. This new edition still contains the basic ideas behind statistics, such as populations, samples, the difference between data and information, and sampling distributions as well as information on descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. New topics include the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable. This new edition also allows readers to learn the basic and most commonly applied statistical techniques in business in an interactive way — when using the web version — through interactive Excel spreadsheets. For each topic, a customized interactive template has been created within which selected values can be repeatedly changed to observe how the entire process, as well as the outcomes, are automatically adjusted. Also, in this adapted edition, the real-world examples throughout the text, and the information in general, have been revised to reflect Canadian content.4152018-09-07T17:22:00Z2024-01-22T14:51:56ZCalculus: Early Transcendentals<img alt="Read more about Calculus: Early Transcendentals" title="Calculus: Early Transcendentals cover image" class="cover " width="612" height="792" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjE5OCwicHVyIjoiYmxvYl9pZCJ9fQ==--b80016618c40d193c056175755895bdee684b671/Calculus-Guichard-2021A-Thumbnail.png" />Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.4032018-09-07T17:21:59Z2024-01-22T14:52:16ZCalculus-Based Physics II<img alt="Read more about Calculus-Based Physics II" title="textbook cover placeholder image" class="cover fallback " width="247" height="326" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" />Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.4022018-09-07T17:21:59Z2024-01-22T14:52:16ZCalculus-Based Physics I<img alt="Read more about Calculus-Based Physics I" title="textbook cover placeholder image" class="cover fallback " width="247" height="326" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" />Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.
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