Enumerative Combinatorics: Volume 1: Volume 1

Enumerative Combinatorics: Volume 1: Volume 1

Paperback Cambridge Studies in Advanced Mathematics (Paperback)

By (author) Richard P. Stanley

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  • Publisher: CAMBRIDGE UNIVERSITY PRESS
  • Format: Paperback | 640 pages
  • Dimensions: 152mm x 226mm x 43mm | 862g
  • Publication date: 12 December 2011
  • Publication City/Country: Cambridge
  • ISBN 10: 1107602629
  • ISBN 13: 9781107602625
  • Edition: 2, Revised
  • Edition statement: 2nd Revised edition
  • Illustrations note: 165 b/w illus. 536 exercises
  • Sales rank: 282,934

Product 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.

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Author information

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.

Review quote

'... sure to become a standard as an introductory graduate text in combinatorics.' Bulletin of the American Mathematical Society '... will engage from start to finish the attention of any mathematician who will open it at page one.' Gian-Carlo Rota

Table of contents

1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.