Applied Discrete Structures by Al Doerr (UMass Lowell) and Kenneth M.There is a really nice interactive ebook version. Discrete Mathematics: An Open Introduction by Oscar Levin (University of Northern Colorado) is a free, open-source textbook appropriate for a first or second year undergraduate course for math majors.Introductory Differential Equations using Sage (PDF) by David Joyner (United States Naval Academy, retired).PDF and LaTeX source files are available for free. Both books were previously published by Brooks/Cole Thomson Learning. Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems by William Trench (Trinity College).The authors claim that their approach is more historically accurate than the usual development of calculus and, more importantly, pedagogically sound. This book covers all of the topics in a typical first course in differential calculus. Differential Calculus: From Practice to Theory by Eugene Boman (Pennsylvania State University) and Robert Rogers (SUNY Fredonia).It covers three semesters of calculus and seems to do a thorough job of it, but the formatting is awful. This book is part of the foundation for the previous book. A free online calculus text that is being developed for the Open Course Library Project of the Washington State Colleges. Contemporary Calculus by Dale Hoffman (Bellevue Community College).The book picks up where the previous book left off. Integral Calculus with Sage by Dale Hoffman (Bellevue Community College), William Stein (SageMath), and David Joyner (United States Naval Academy, retired). The book covers first semester calculus and incorporates Sage, which is an open-source mathematics software package. This free book is based on Granville’s classic text book Elements of the Differential and Integral Calculus, which fell into the public domain. Differential Calculus with Sage by David Joyner (United States Naval Academy, retired) and William Granville.These notes seem to be popular with students. The notes are available as free HTML-based material. Paul’s notes cover Calculus 1-3, Linear Algebra, and more.
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