Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computation. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can help, and what types of math questions to work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the field of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. J? F quaint? Is Professor of Mathematics at the Department of Algebra and Number Theory in E? S Lor? Katalin Vesztergombi is a senior lecturer in the Department of Mathematics at the University of Washington.