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Combinatorial Techniques
Sharad S. Sane
A publication of Hindustan Book Agency.
cover
Hindustan Book Agency
2013; 482 pp; hardcover
ISBN-13: 978-93-80250-48-9
List Price: US$65
Member Price: US$52
Order Code: HIN/61
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This is a basic text on combinatorics that deals with all 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.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in combinatorial techniques.

Table of Contents

  • Basic counting
  • Listing combinatorial objects
  • Permutations
  • The inclusion-exclusion principle
  • Basic probability
  • Random variables
  • Parity
  • Pigeonhole principle
  • Some geometry
  • Advanced counting numbers
  • Recurrence relations
  • Generating functions
  • Partition theory of integers
  • Group action on a set
  • Polya theory of enumeration
  • Systems of distinct representatives
  • References
  • Index
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