Discrete Mathematics: An Open Introduction
by Oscar Levin
Publisher: University of Northern Colorado 2017
Number of pages: 345
This book was written to be used as the primary text for a transitions course (introduction to proof), as well as an introduction to topics in discrete mathematics. Topics: Counting; Sequences; Symbolic Logic and Proofs; Graph Theory; Generating Functions; Introduction to Number Theory.
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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).
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 Alexander I. Bobenko (ed.) - Springer
This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
by Al Doerr, Ken Levasseur - Lulu.com
Applied Discrete Structures is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures.