Mathematics Textbooks

Elementary Algebra

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text introduces the basic skills and ideas of algebra.

(1 review)

Trigonometry

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.

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Modeling, Functions, and Graphs

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

Modeling, Functions, and Graphs covers the content of a typical college algebra course with an emphasis on functions and modeling; when combined with a trigonometry text or supplement, this text can be used in a precalculus course.

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Mostly Harmless Statistics

Contributor: Webb

Publisher: Portland State University Library

License: CC BY-SA

This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE). Software examples provided for Microsoft Excel, TI-84 & TI-89 calculators. A formula packet and pdf version of the text are available on the website http://mostlyharmlessstatistics.com. Students new to probability and statistics are sure to benefit from this fully ADA accessible and relevant textbook. The examples resonate with everyday life, the text is approachable, and has a conversational tone to provide an inclusive and easy to read format for students.

(1 review)

Euclid's Elements Redux

Contributor: Callahan

Publisher: Sample

License: CC BY-SA

"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.

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Intermediate Statistics with R

Contributor: Greenwood

Publisher: Montana State University

License: CC BY-NC

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.

(2 reviews)

Introduction to Statistical Thinking

Contributor: Yakir

Publisher: Benjamin Yakir

License: CC BY

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.

(1 review)

Informal Calculus with Applications to Biological and Environmental Sciences

Contributors: Seacrest, Seacrest, Levine, and Anderson

Publisher: TRAILS

License: CC BY

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.

(2 reviews)

PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences

Contributor: Oja

Publisher: LibreTexts

License: CC BY-SA

Welcome to behavioral statistics, a statistics textbook for social science majors!

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Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Contributors: Belevan, Hamidi, Malhotra, and Yeager

Publisher: Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager

License: CC BY-NC-SA

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.

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