Introductory Combinatorics (Classic Version), 5th edition

  • Richard A. Brualdi

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Overview

Hallmark features of this title

  • Comprehensive, accessible coverage of main topics in combinatorics:
    • Provides students with accessible coverage of basic concepts and principles.
    • Covers a wide range of topics: Dilworth's Theorem, partitions of integers, counting sequences and generating functions, and extensive graph theory coverage.
  • A clear and accessible presentation, written from the student's perspective, facilitates understanding of basic concepts and principles.
  • An excellent treatment of Polya's Counting Theorem does not assume students have studied group theory.
  • Many worked examples illustrate methods used.

Published by Pearson (May 12th 2023) - Copyright © 2023

ISBN-13: 9780137981045

Subject: Advanced Math

Category: Combinatorics

Table of contents

  • 1. What is Combinatorics?
  • 2. The Pigeonhole Principle
  • 3. Permutations and Combinations
  • 4. Generating Permutations and Combinations
  • 5. The Binomial Coefficients
  • 6. The Inclusion-Exclusion Principle and Applications
  • 7. Recurrence Relations and Generating Functions
  • 8. Special Counting Sequences
  • 9. Systems of Distinct Representatives
  • 10. Combinatorial Designs
  • 11. Introduction to Graph Theory
  • 12. More on Graph Theory
  • 13. Digraphs and Networks
  • 14. Pólya Counting

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