Applied Discrete Structures
by Al Doerr, Ken Levasseur
Publisher: Lulu.com 2013
Number of pages: 496
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. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces.
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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).
by Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
by Herbert S. Wilf - A K Peters, Ltd.
The book about main ideas on generating functions and some of their uses in discrete mathematics. Generating functions are a bridge between discrete mathematics and continuous analysis. The book is suitable for undergraduates.