An Introduction to Combinatorics / Edition 1

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1997 Trade paperback New Trade paperback (US). Sewn binding. Cloth over boards. 270 p. Contains: Illustrations. Chapman Hall/CRC Mathematics. Audience: General/trade. NEW; ... slightly shelfworn & aged. Read more Show Less

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More About This Textbook

Overview

The growth in digital devices, which require discrete formulation of problems, has revitalized the role of combinatorics, making it indispensable to computer science. Furthermore, the challenges of new technologies have led to its use in industrial processes, communications systems, electrical networks, organic chemical identification, coding theory, economics, and more. With a unique approach, Introduction to Combinatorics builds a foundation for problem-solving in any of these fields.

Although combinatorics deals with finite collections of discrete objects, and as such differs from continuous mathematics, the two areas do interact. The author, therefore, does not hesitate to use methods drawn from continuous mathematics, and in fact shows readers the relevance of abstract, pure mathematics to real-world problems. The author has structured his chapters around concrete problems, and as he illustrates the solutions, the underlying theory emerges. His focus is on counting problems, beginning with the very straightforward and ending with the complicated problem of counting the number of different graphs with a given number of vertices.

Its clear, accessible style and detailed solutions to many of the exercises, from routine to challenging, provided at the end of the book make Introduction to Combinatorics ideal for self-study as well as for structured coursework.

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Editorial Reviews

Booknews
An introduction to a branch of mathematics that deals with concrete problems by limiting itself to finite collections of discrete objects, as opposed to the more common, continuous mathematics. Accessible to readers with no more than simple algebra, addresses such counting problems as predicting poker hands, dividing tasks among workers, and finding a pair of socks in the drawer, then develops the mathematics to prove the solution. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Introduction Permutations and Combinations The Inclusion-Exclusion Principle Partitions Stirling's Approximation Partitions and Generating Functions Generating Functions and Recurrence Relations Permutations and Groups Group Actions Graphs Counting Patterns Polya's Theorem Solutions to the Exercises Suggestions for Further Reading List of Symbols Index
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