Mathematics Textbooks

Statistics for Research Students

Contributors: Fein, Gilmour, Machin, and Hendry

Publisher: University of Southern Queensland

License: CC BY

This book aims to help you understand and navigate statistical concepts and the main types of statistical analyses essential for research students.

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Introduction to Applied Statistics for Psychology Students

Contributor: Sarty

Publisher: University of Saskatchewan

License: CC BY-NC-SA

Introduction to Applied Statistics for Psychology Students, by Gordon E. Sarty (Professor, Department of Psychology, University of Saskatchewan) began as a textbook published in PDF format, in various editions between 2014-2017. The book was written to meet the needs of University of Saskatchewan psychology students at the undergraduate (PSY 233, PSY 234) level.

(1 review)

Evidence-based Software Engineering

Contributor: Jones

Publisher: Knowledge Software

License: CC BY-SA

This book discusses what is currently known about software engineering, based on an analysis of all the publicly available data. This aim is not as ambitious as it sounds, because there is not a great deal of data publicly available.

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Intermediate Algebra

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

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.

(1 review)

Elementary Algebra

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text introduces the basic skills and ideas of algebra.

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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.

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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)