# Mathematics Textbooks

## Vector Calculus

Copyright Year: 2013

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

(1 review)

## Calculus for the Life Sciences: A Modeling Approach Volume 1

Copyright Year: 2011

Contributors: Cornette and Ackerman

Publisher: A.T. Still University

License: CC BY-NC-ND

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

(1 review)

## OpenIntro Statistics - Fourth Edition

Copyright Year: 2015

Contributors: Diez, Barr, and Cetinkaya-Rundel

Publisher: OpenIntro

License: CC BY-SA

OpenIntro Statistics covers a first course in statistics, providing a rigorous introduction to applied

(19 reviews)

## Whitman Calculus

Copyright Year: 2010

Contributor: Guichard

Publisher: David Guichard

License: CC BY-NC-SA

An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

(6 reviews)

## College Trigonometry

Copyright Year: 2011

Contributors: Stitz and Zeager

Publisher: Stitz Zeager Open Source Mathematics

License: CC BY-NC-SA

Covers chapters 10-11 of Precalculus.

(2 reviews)

## Precalculus

Copyright Year: 2013

Contributors: Stitz and Zeager

Publisher: Stitz Zeager Open Source Mathematics

License: CC BY-NC-SA

A casual glance through the Table of Contents of most of the major publishers' College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class.

(2 reviews)

## Introduction to Probability

Copyright Year: 1997

Contributors: Grinstead and Snell

Publisher: American Mathematical Society

License: Free Documentation License (GNU)

Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continuedto influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that finds applications in every area of scholarlyactivity from music to physics, and in daily experience from weather prediction topredicting the risks of new medical treatments.

(6 reviews)

## Linear Algebra

Copyright Year: 2016

Contributor: Hefferon

Publisher: Jim Hefferon

License: CC BY-SA

This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges. Ancillary materials are available at the publisher link.

(4 reviews)

## A First Course in Linear Algebra

Copyright Year: 2015

Contributor: Beezer

Publisher: Robert Beezer

License: Free Documentation License (GNU)

A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way.

(11 reviews)

## Book of Proof - Third Edition

Copyright Year: 2013

Contributor: Hammack

Publisher: Richard Hammack

License: CC BY-ND

This is a book about how to prove theorems.

(6 reviews)