# Mathematics Textbooks

## Informal Calculus with Applications to Biological and Environmental Sciences

Copyright Year: 2021

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.

(1 review)

## PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences

Copyright Year: 2021

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

Copyright Year: 2020

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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## Measure, Integration & Real Analysis

Copyright Year: 2020

Contributor: Axler

Publisher: Sheldon Axler

License: CC BY-NC

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.

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## Technical Mathematics

Copyright Year: 2021

Contributor: Chase

Publisher: Open Oregon Educational Resources

License: CC BY-NC-SA

This developmental-level mathematics textbook is intended for career-technical students.

(5 reviews)

## Elementary Calculus

Copyright Year: 2020

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

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).

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## Math in Society: Mathematics for liberal arts majors

Copyright Year: 2018

Contributor: Lee

Publisher: Portland Community College Math Department

License: CC BY-SA

We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

(1 review)

## First Semester in Numerical Analysis with Python

Contributor: Liu

Publisher: Auraria Institutional Repository

License: CC BY-NC-SA

The book is based on “First semester in Numerical Analysis with Julia”, written by Giray Ökten. The contents of the original book are retained, while all the algorithms are implemented in Python (Version 3.8.0). Python is an open source (under OSI), interpreted, general-purpose programming language that has a large number of users around the world. Python is ranked the third in August 2020 by the TIOBE programming community index, a measure of popularity of programming languages, and is the top-ranked interpreted language. We hope this book will better serve readers who are interested in a first course in Numerical Analysis, but are more familiar with Python for the implementation of the algorithms.

(1 review)

## The Joy of Cryptography

Copyright Year: 2017

Contributor: Rosulek

Publisher: Oregon State University

License: CC BY-NC-SA

The pedagogical approach is anchored in formal definitions/proof of security, but in a way that I believe is more accessible than what is "traditional" in crypto. All security definitions are written in a unified and simplified "game-based" style. For an example of what security definitions look like in this style, see the index of security definitions (which will make more sense after reading chapters 2 & 4).

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## Transition to Higher Mathematics: Structure and Proof - Second Edition

Copyright Year: 2015

Contributors: Dumas and McCarthy

Publisher: Open Scholarship

License: CC BY

This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.

(1 review)