Overview

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.

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9783540828723

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<p>From the reviews: <p> The goal of the text is present enumerative combinatorics together with its many applications, including chapters not common in enumerative combinatorics texts, like the ones on hypergeometric summations, on the Tutte polynomial, and on models from statistical physics. good number of exercises carry additional material, and a number of selected exercises are given a solution at the end. A nice trend in recent books closing chapters with some spectacular book proofs is followed and will help at keeping the attention of the students. (L szl A. Sz kely, Zentralblatt MATH, Vol. 1123 (1), 2008)<p> The book is divided into three parts . the structure and topics of this book are well-designed, and there are nearly 700 exercises sprinkled throughout many with hints and solutions in the back which make the book far more appealing. I think it would be a good textbook for any graduate student wishing to learn about enumerative combinatorics. (Darren Glass, MathDL, Janua

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