How to Count
eBook - ePub

How to Count

An Introduction to Combinatorics, Second Edition

  1. 444 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

How to Count

An Introduction to Combinatorics, Second Edition

About this book

Emphasizes a Problem Solving Approach
A first course in combinatorics
Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics.
New to the Second Edition
This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet's pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises.

Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Polya's counting theorem.

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Yes, you can access How to Count by R.B.J.T. Allenby,Alan Slomson in PDF and/or ePUB format, as well as other popular books in Computer Science & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Table of Contents
  7. Preface to the Second Edition
  8. Acknowledgments
  9. Authors
  10. Chapter 1 What’s It All About?
  11. Chapter 2 Permutations and Combinations
  12. Chapter 3 Occupancy Problems
  13. Chapter 4 The Inclusion-Exclusion Principle
  14. Chapter 5 Stirling and Catalan Numbers
  15. Chapter 6 Partitions and Dot Diagrams
  16. Chapter 7 Generating Functions and Recurrence Relations
  17. Chapter 8 Partitions and Generating Functions
  18. Chapter 9 Introduction to Graphs
  19. Chapter 10 Trees
  20. Chapter 11 Groups of Permutations
  21. Chapter 12 Group Actions
  22. Chapter 13 Counting Patterns
  23. Chapter 14 Pólya Counting
  24. Chapter 15 Dirichlet’s Pigeonhole Principle
  25. Chapter 16 Ramsey Theory
  26. Chapter 17 Rook Polynomials and Matchings
  27. Solutions to the A Exercises
  28. Books for Further Reading
  29. Index of Notation
  30. Index