Pure Textbooks
A First Course in Linear Algebra
Contributor: Beezer
Publisher: Robert Beezer
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
Contributor: Hammack
Publisher: Richard Hammack
This is a book about how to prove theorems.
(6 reviews)
Calculus
Contributor: Strang
Publisher: Wellesley-Cambridge Press
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
(3 reviews)
College Algebra
Contributors: Stitz and Zeager
Publisher: Stitz Zeager Open Source Mathematics
College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely.
(10 reviews)
Elementary Algebra
Contributor: Redden
Publisher: Saylor Foundation
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.
(12 reviews)