Hindustan Book Agency 2013; 482 pp; hardcover ISBN13: 9789380250489 List Price: US$65 Member Price: US$52 Order Code: HIN/61
 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 inclusionexclusion 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
