tag:open.umn.edu,2005:/opentextbooks/subjects/7?page=5Open Textbook Library - Mathematics Textbooks2021-09-27T03:18:56Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png10712021-10-06T19:04:28Z2024-01-22T14:52:28ZEuclid's Elements Redux<img alt="Read more about Euclid's Elements Redux" title="Euclid's Elements Redux cover image" class="cover " width="675" height="788" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjkyMSwicHVyIjoiYmxvYl9pZCJ9fQ==--73c450f44e2bd9709ca7939404d48a190ae907a5/Capture.JPG" />"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.10782021-09-29T19:27:34Z2024-02-24T00:40:05ZIntermediate Statistics with R<img alt="Read more about Intermediate Statistics with R" title="Intermediate Statistics with R cover image" class="cover " width="609" height="680" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjkxMywicHVyIjoiYmxvYl9pZCJ9fQ==--01fda43780119fd3655d77aa80da2b4fcbe92c79/Capture.JPG" />Introductory statistics courses prepare students to think statistically but cover relatively few statistical methods. Building on the basic statistical thinking emphasized in an introductory course, a second course in statistics at the undergraduate level can explore a large number of statistical methods. This text covers more advanced graphical summaries, One-Way ANOVA with pair-wise comparisons, Two-Way ANOVA, Chi-square testing, and simple and multiple linear regression models. Models with interactions are discussed in the Two-Way ANOVA and multiple linear regression setting with categorical explanatory variables. Randomization-based inferences are used to introduce new parametric distributions and to enhance understanding of what evidence against the null hypothesis “looks like”. Throughout, the use of the statistical software R via Rstudio is emphasized with all useful code and data sets provided within the text. This is Version 3.0 of the book.10442021-08-27T07:04:09Z2024-01-22T14:52:27ZIntroduction to Statistical Thinking<img alt="Read more about Introduction to Statistical Thinking" title="Introduction to Statistical Thinking cover image" class="cover " width="609" height="752" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mjc4NSwicHVyIjoiYmxvYl9pZCJ9fQ==--67a8f85c4edd0ab5b62cc08469637e0675c9470a/Introwbdj.JPG" />The target audience for this book is college students who are required to learn statistics, students with little background in mathematics and often no motivation to learn more. It is assumed that the students do have basic skills in using computers and have access to one. Moreover, it is assumed that the students are willing to actively follow the discussion in the text, to practice, and more importantly, to think. Teaching statistics is a challenge. Teaching it to students who are required to learn the subject as part of their curriculum, is an art mastered by few. In the past I have tried to master this art and failed. In desperation, I wrote this book. This book uses the basic structure of generic introduction to statistics course. However, in some ways I have chosen to diverge from the traditional approach. One divergence is the introduction of R as part of the learning process. Many have used statistical packages or spreadsheets as tools for teaching statistics. Others have used R in advanced courses. I am not aware of attempts to use R in introductory level courses. Indeed, mastering R requires much investment of time and energy that may be distracting and counterproductive for learning more fundamental issues. Yet, I believe that if one restricts the application of R to a limited number of commands, the benefits that R provides outweigh the difficulties that R engenders. Another departure from the standard approach is the treatment of probability as part of the course. In this book I do not attempt to teach probability as a subject matter, but only specific elements of it which I feel are essential for understanding statistics. Hence, Kolmogorov’s Axioms are out as well as attempts to prove basic theorems and a Balls and Urns type of discussion. On the other hand, emphasis is given to the notion of a random variable and, in that context, the sample space.8272021-08-25T22:14:16Z2024-01-22T14:52:26ZInformal Calculus with Applications to Biological and Environmental Sciences<img alt="Read more about Informal Calculus with Applications to Biological and Environmental Sciences" title="Informal Calculus with Applications to Biological and Environmental Sciences cover image" class="cover " width="683" height="1024" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjQzMSwicHVyIjoiYmxvYl9pZCJ9fQ==--fd62009f471a9c9a44d1fb1fdc526ccb0dd40c59/informal%20calculus%20book%20cover.jpg" />This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.10382021-08-16T16:37:13Z2024-01-22T14:55:08ZPSYC 2200: Elementary Statistics for the Behavioral and Social Sciences<img alt="Read more about PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences" title="PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences cover image" class="cover " width="605" height="768" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjczNCwicHVyIjoiYmxvYl9pZCJ9fQ==--3a4ed5000b8dd17fbb069eabae36bc787fb7e8e8/pschy.JPG" />Welcome to behavioral statistics, a statistics textbook for social science majors!10372021-08-16T15:51:57Z2024-01-22T14:52:26ZOptimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences<img alt="Read more about Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences" title="Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences cover image" class="cover " width="501" height="649" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjczMywicHVyIjoiYmxvYl9pZCJ9fQ==--1b53df3c71e355ecebf13e96d9872405e54035bf/new%20boosask.JPG" />Optimal, Integral, Likely is a free, open-source textbook intended for UBC’s course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.9702021-02-14T04:54:41Z2024-01-22T14:52:24ZMeasure, Integration & Real Analysis<img alt="Read more about Measure, Integration & Real Analysis" title="Measure, Integration & Real Analysis cover image" class="cover " width="1221" height="1898" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjA1NiwicHVyIjoiYmxvYl9pZCJ9fQ==--6e95f4bd4267952d35c9372df12353d629b64ceb/MIRAcover.png" />This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.9592021-01-31T17:15:47Z2024-03-18T13:22:31ZTechnical Mathematics - 2nd Edition<img alt="Read more about Technical Mathematics - 2nd Edition" title="Technical Mathematics - 2nd Edition cover image" class="cover " width="350" height="453" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTEzNTQsInB1ciI6ImJsb2JfaWQifX0=--1296ddf22f056a22a51f7b3608a21da16bd5681b/gjvy7eg-front-shortedge-384-doubled-350x453.png" />This developmental-level mathematics textbook is intended for career-technical students.9482021-01-12T19:46:24Z2024-01-22T14:52:19ZElementary Calculus<img alt="Read more about Elementary Calculus" title="Elementary Calculus cover image" class="cover " width="168" height="200" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTkzNCwicHVyIjoiYmxvYl9pZCJ9fQ==--69c475791ba78745db100f67fd2c2fff9f3a61d5/calc12book-small.png" />This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences). There are 943 exercises in the book, with answers and hints to selected exercises.9442021-01-05T02:00:47Z2024-02-12T14:18:49ZMath in Society: Mathematics for liberal arts majors<img alt="Read more about Math in Society: Mathematics for liberal arts majors" title="Math in Society: Mathematics for liberal arts majors cover image" class="cover " width="602" height="708" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTkxMSwicHVyIjoiYmxvYl9pZCJ9fQ==--bde84e7abc1a958dfc652110a9a5865287a4586e/Mathdjqwjodjo.PNG" />We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.
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