Combinatorial Techniques

  • Sharad S. Sane

Part of the Texts and Readings in Mathematics book series (TRIM, volume 65)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Sharad S. Sane
    Pages 1-24
  3. Sharad S. Sane
    Pages 25-37
  4. Sharad S. Sane
    Pages 39-56
  5. Sharad S. Sane
    Pages 57-79
  6. Sharad S. Sane
    Pages 81-104
  7. Sharad S. Sane
    Pages 105-128
  8. Sharad S. Sane
    Pages 129-167
  9. Sharad S. Sane
    Pages 169-192
  10. Sharad S. Sane
    Pages 193-218
  11. Sharad S. Sane
    Pages 219-242
  12. Sharad S. Sane
    Pages 243-282
  13. Sharad S. Sane
    Pages 283-324
  14. Sharad S. Sane
    Pages 325-352
  15. Sharad S. Sane
    Pages 353-384
  16. Sharad S. Sane
    Pages 385-420
  17. Sharad S. Sane
    Pages 421-455
  18. Back Matter
    Pages 457-468

About this book

Introduction

This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.

Authors and affiliations

  • Sharad S. Sane
    • 1
  1. 1.Indian Institute of TechnologyMumbaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-93-86279-55-2
  • Copyright Information Hindustan Book Agency (India) 2013
  • Publisher Name Hindustan Book Agency, Gurgaon
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-93-80250-48-9
  • Online ISBN 978-93-86279-55-2
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • About this book
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