Articles liés à Enumerative Combinatorics: Volume 1
Synopsis
An introduction, suitable for graduate students, showing connections to other areas of mathematics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.
Biographie de l'auteur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurCambridge University Press
- Date d'édition1996
- ISBN 10 0521663512
- ISBN 13 9780521663519
- ReliureBroché
- Langueanglais
- Nombre de pages340
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Enumerative Combinatorics, Volume 1
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Cambridge University Press, 2000
ISBN 10 : 0521663512
ISBN 13 : 9780521663519
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Enumerative Combinatorics, Volume 1
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Cambridge University Press, 2000
ISBN 10 : 0521663512
ISBN 13 : 9780521663519
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Enumerative Combinatorics, Volume 1
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Cambridge University Press, 2000
ISBN 10 : 0521663512
ISBN 13 : 9780521663519
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