Enumerative Combinatorics: Volume 1

By:

Richard P. Stanley

Format:

Hardback

Series:

Cambridge Studies in Advanced Mathematics

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Description

Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.

Author Biography:

Richard P. Stanley is a Professor of Applied Mathematics at the Massachusetts Institute of Technology. He is universally recognized as a leading expert in the field of combinatorics and its applications to a variety of other mathematical disciplines. In addition to the seminal two-volume book Enumerative Combinatorics, he is the author of Combinatorics and Commutative Algebra (1983) as well as more than 100 research articles in mathematics. Among Stanley's many distinctions are membership in the National Academy of Sciences (elected in 1995), the 2001 Leroy P. Steele Prize for mathematical exposition and the 2003 Schock Prize.

Release date Australia

December 12th, 2011

Author

Richard P. Stanley

Audience

Postgraduate, Research & Scholarly

Edition

2nd Revised edition

Illustrations

Worked examples or Exercises; 165 Line drawings, unspecified

Pages

642

Series

Cambridge Studies in Advanced Mathematics

Dimensions

160x235x38

ISBN-13

9781107015425

Product ID

10844092

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