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 computing. 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 be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous examples, figures and exercises spread throughout the book.
From the reviews:
"In recent years there has been a plethora of textbooks on discrete mathematics, designed as a counter-balance to the over-emphasis on calculus in colleges and universities. This book is a welcome addition to these, being written in a delightfully informal style by three well-known practitioners in the field. : The emphasis throughout is on problem solving and mathematical proof." (Robin J. Wilson, Mathematical Reviews, 2004a)