Publisher: Wikibooks 2012
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. This book will help you think well about discrete problems: problems like chess, in which the moves you make are exact, problems where tools like calculus fail because there's no continuity, problems that appear all the time in games, puzzles, and computer science.
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by Oscar Levin - University of Northern Colorado
This book was written to be used as the primary text for introduction to proof, as well as an introduction to topics in discrete mathematics. Contents: Counting; Sequences; Symbolic Logic and Proofs; Graph Theory; Generating Functions; and more.
by Marcel B. Finan - Arkansas Tech University
This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. The text covers the mathematical concepts that students will encounter in computer science, engineering, Business, and the sciences.
by Vladlen Koltun - Stanford University
Contents: Sets and Notation; Induction; More Proof Techniques; Divisibility; Prime Numbers; Modular Arithmetic; Relations and Functions; Mathematical Logic; Counting; Binomial Coefficients; Inclusion-Exclusion Principle; Pigeonhole Principle; etc.
by M. Desbrun, P. Schroeder, M. Wardetzky - Columbia University
This new and elegant area of mathematics has exciting applications, as this text demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, fluids).