Introduction to Combinatorics
eBook - ePub

Introduction to Combinatorics

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

Introduction to Combinatorics

About this book

Praise for the First Edition

"This excellent text should prove a useful accoutrement for any developing mathematics program . . . it's short, it's sweet, it's beautifully written." —The Mathematical Intelligencer

"Erickson has prepared an exemplary work . . . strongly recommended for inclusion in undergraduate-level library collections." —Choice

Featuring a modern approach, Introduction to Combinatorics, Second Edition illustrates the applicability of combinatorial methods and discusses topics that are not typically addressed in literature, such as Alcuin's sequence, Rook paths, and Leech's lattice. The book also presents fundamental results, discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise questions and observations.

Many important combinatorial methods are revisited and repeated several times throughout the book in exercises, examples, theorems, and proofs alike, allowing readers to build confidence and reinforce their understanding of complex material. In addition, the author successfully guides readers step-by-step through three major achievements of combinatorics: Van der Waerden's theorem on arithmetic progressions, Pólya's graph enumeration formula, and Leech's 24-dimensional lattice.  Along with updated tables and references that reflect recent advances in various areas, such as error-correcting codes and combinatorial designs, the Second Edition also features:

  • Many new exercises to help readers understand and apply combinatorial techniques and ideas
  • A deeper, investigative study of combinatorics through exercises requiring the use of computer programs
  • Over fifty new examples, ranging in level from routine to advanced, that illustrate important combinatorial concepts
  • Basic principles and theories in combinatorics as well as new and innovative results in the field

Introduction to Combinatorics, Second Edition is an ideal textbook for a one- or two-semester sequence in combinatorics, graph theory, and discrete mathematics at the upper-undergraduate level. The book is also an excellent reference for anyone interested in the various applications of elementary combinatorics.

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Yes, you can access Introduction to Combinatorics by Martin J. Erickson in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2013
Print ISBN
9781118637531
eBook ISBN
9781118637586

Table of contents

  1. Cover
  2. Half Title page
  3. Title page
  4. Copyright page
  5. Dedication
  6. Preface
  7. Chapter 1: Basic Counting Methods
  8. Chapter 2: Generating Functions
  9. Chapter 3: The Pigeonhole Principle
  10. Chapter 4: Ramsey Theory
  11. Chapter 5: Error-Correcting Codes
  12. Chapter 6: Combinatorial Designs
  13. Appendix A: Web Resources
  14. Appendix B: Notation
  15. Exercise Solutions
  16. References
  17. Index