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Ordered Structures and Partitions

Ordered Structures and Partitions
Author: Richard P. Stanley
Publisher: American Mathematical Soc.
Total Pages: 114
Release: 1972
Genre: Combinatorial analysis
ISBN: 0821818198

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Sets and Ordered Structures

Sets and Ordered Structures
Author: Sergiu Rudeanu
Publisher: Bentham Science Publishers
Total Pages: 260
Release: 2012
Genre: Mathematics
ISBN: 1608053385

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This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and attractive way. Readers will easily identify problems/t


Enumerative Combinatorics: Volume 1

Enumerative Combinatorics: Volume 1
Author: Richard P. Stanley
Publisher: Cambridge University Press
Total Pages: 641
Release: 2012
Genre: Mathematics
ISBN: 1107015421

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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.


Formal Power Series and Algebraic Combinatorics

Formal Power Series and Algebraic Combinatorics
Author: Daniel Krob
Publisher: Springer Science & Business Media
Total Pages: 815
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662041669

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This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...


Extremal Combinatorial Problems and Their Applications

Extremal Combinatorial Problems and Their Applications
Author: B.S. Stechkin
Publisher: Springer
Total Pages: 207
Release: 2007-08-19
Genre: Computers
ISBN: 0585296022

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Combinatorial research has proceeded vigorously in Russia over the last few decades, based on both translated Western sources and original Russian material. The present volume extends the extremal approach to the solution of a large class of problems, including some that were hitherto regarded as exclusively algorithmic, and broadens the choice of theoretical bases for modelling real phenomena in order to solve practical problems. Audience: Graduate students of mathematics and engineering interested in the thematics of extremal problems and in the field of combinatorics in general. Can be used both as a textbook and as a reference handbook.


Geometric Combinatorics

Geometric Combinatorics
Author: Ezra Miller
Publisher: American Mathematical Soc.
Total Pages: 710
Release:
Genre: Mathematics
ISBN: 9780821886953

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Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.


Selected Works of Richard P. Stanley

Selected Works of Richard P. Stanley
Author: Victor Reiner
Publisher: American Mathematical Soc.
Total Pages: 842
Release: 2017-05-17
Genre: Mathematics
ISBN: 1470416824

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Richard Stanley's work in combinatorics revolutionized and reshaped the subject. Many of his hallmark ideas and techniques imported from other areas of mathematics have become mainstays in the framework of modern combinatorics. In addition to collecting several of Stanley's most influential papers, this volume also includes his own short reminiscences on his early years, and on his celebrated proof of The Upper Bound Theorem.


Enumerative Combinatorics

Enumerative Combinatorics
Author: Richard Stanley
Publisher: Springer
Total Pages: 317
Release: 2014-11-14
Genre: Science
ISBN: 1461597633

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