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 Title Discrete Mathematics for Computer Science
 Author(s) Jean H. Gallier
 Publisher: Springer; 2011 edition (January 25, 2011)
 Hardcover/Paperback 477 pages
 eBook PDF, PostScript, and other formats
 Language: English
 ASIN: 1441980466
 ISBN13: 9781441980465
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Book Description
This book gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given.
With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics.
There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow mincut theorem.
We also discuss matchings, covering, bipartite graphs.
The book is highly illustrated and each chapter ends with a list of problems of varying difficulty. Undergraduates in mathematics and computer science will find this book useful.
About the Authors Jean H. Gallier is a researcher in computational logic at the University of Pennsylvania, where he holds appointments in the Computer and Information Science Department and the Department of Mathematics.
 Discrete and Finite Mathematics
 Graph Theory
 Combinatorics and Game Theory
 Algebra, Abstract Algebra, and Linear Algebra
 Mathematical Logic (Set Theory, etc.)
 Probability and Stochastic Processes