Enumerative Combinatorics Volume 2

Author : Richard P. Stanley
Publisher : Cambridge University Press
ISBN 13 : 9780521789875
Total Pages : 600 pages
Book Rating : 4.77/5 ( download)

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Download or read book Enumerative Combinatorics: Volume 2 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 1997 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.

Author : Richard P. Stanley
Publisher : Cambridge University Press
ISBN 13 : 1107015421
Total Pages : 641 pages
Book Rating : 4.25/5 ( download)

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Download or read book Enumerative Combinatorics: Volume 1 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2012 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Richard Stanley
Publisher : Cambridge University Press
ISBN 13 : 1009262513
Total Pages : 802 pages
Book Rating : 4.14/5 ( download)

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Download or read book Enumerative Combinatorics: Volume 2 written by Richard Stanley and published by Cambridge University Press. This book was released on 2023-07-31 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 two covers the composition of generating functions, in particular the exponential formula and the Lagrange inversion formula, labelled and unlabelled trees, algebraic, D-finite, and noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course and focusing on combinatorics, especially the Robinson–Schensted–Knuth algorithm. An appendix by Sergey Fomin covers some deeper aspects of symmetric functions, including jeu de taquin and the Littlewood–Richardson rule. The exercises in the book play a vital role in developing the material, and this second edition features over 400 exercises, including 159 new exercises on symmetric functions, all with solutions or references to solutions.

Author : Richard P. Stanley
Publisher : Cambridge University Press
ISBN 13 : 9780521663519
Total Pages : 342 pages
Book Rating : 4.12/5 ( download)

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Download or read book Enumerative Combinatorics: Volume 1 written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2002 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction, suitable for graduate students, showing connections to other areas of mathematics.

Author : Richard Stanley
Publisher : Cambridge University Press
ISBN 13 : 9781009262484
Total Pages : 0 pages
Book Rating : 4.83/5 ( download)

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Download or read book Enumerative Combinatorics: Volume 2 written by Richard Stanley and published by Cambridge University Press. This book was released on 2023-07-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 two covers the composition of generating functions, in particular the exponential formula and the Lagrange inversion formula, labelled and unlabelled trees, algebraic, D-finite, and noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course and focusing on combinatorics, especially the Robinson-Schensted-Knuth algorithm. An appendix by Sergey Fomin covers some deeper aspects of symmetric functions, including jeu de taquin and the Littlewood-Richardson rule. The exercises in the book play a vital role in developing the material, and this second edition features over 400 exercises, including 159 new exercises on symmetric functions, all with solutions or references to solutions.

Author : Miklos Bona
Publisher : CRC Press
ISBN 13 : 1482220865
Total Pages : 1073 pages
Book Rating : 4.65/5 ( download)

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Download or read book Handbook of Enumerative Combinatorics written by Miklos Bona and published by CRC Press. This book was released on 2015-03-24 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he

Author : Carl G. Wagner
Publisher : American Mathematical Soc.
ISBN 13 : 1470459957
Total Pages : 272 pages
Book Rating : 4.56/5 ( download)

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Download or read book A First Course in Enumerative Combinatorics written by Carl G. Wagner and published by American Mathematical Soc.. This book was released on 2020-10-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Enumerative Combinatorics provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration—recursion, generating functions, sieve and inversion formulas, enumeration under group actions—and their application to counting problems for the fundamental structures of discrete mathematics, including sets and multisets, words and permutations, partitions of sets and integers, and graphs and trees. The author's exposition has been strongly influenced by the work of Rota and Stanley, highlighting bijective proofs, partially ordered sets, and an emphasis on organizing the subject under various unifying themes, including the theory of incidence algebras. In addition, there are distinctive chapters on the combinatorics of finite vector spaces, a detailed account of formal power series, and combinatorial number theory. The reader is assumed to have a knowledge of basic linear algebra and some familiarity with power series. There are over 200 well-designed exercises ranging in difficulty from straightforward to challenging. There are also sixteen large-scale honors projects on special topics appearing throughout the text. The author is a distinguished combinatorialist and award-winning teacher, and he is currently Professor Emeritus of Mathematics and Adjunct Professor of Philosophy at the University of Tennessee. He has published widely in number theory, combinatorics, probability, decision theory, and formal epistemology. His Erdős number is 2.

Author : Robin Pemantle
Publisher : Cambridge University Press
ISBN 13 : 1107031575
Total Pages : 395 pages
Book Rating : 4.79/5 ( download)

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Download or read book Analytic Combinatorics in Several Variables written by Robin Pemantle and published by Cambridge University Press. This book was released on 2013-05-31 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.

Author : Richard P. Stanley
Publisher : Cambridge University Press
ISBN 13 : 1107075092
Total Pages : 225 pages
Book Rating : 4.92/5 ( download)

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Download or read book Catalan Numbers written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2015-03-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.

Author : Richard P. Stanley
Publisher : Springer Science & Business Media
ISBN 13 : 0817644334
Total Pages : 173 pages
Book Rating : 4.38/5 ( download)

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Download or read book Combinatorics and Commutative Algebra written by Richard P. Stanley and published by Springer Science & Business Media. This book was released on 2007-12-13 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra: 1) The theory of invariants of a torus acting linearly on a polynomial ring, and 2) The face ring of a simplicial complex * In this new edition, the author further develops some interesting properties of face rings with application to combinatorics