Search Results for "cambridge-studies-in-advanced-mathematics-enumerative-combinatorics-series-number-62-volume-2"

Enumerative Combinatorics

Enumerative Combinatorics

  • Author: Richard P. Stanley
  • Publisher: Cambridge University Press
  • ISBN: 9780521789875
  • Category: Mathematics
  • Page: 585
  • View: 1122
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This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, 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 on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

Handbook of Enumerative Combinatorics

Handbook of Enumerative Combinatorics

  • Author: Miklos Bona
  • Publisher: CRC Press
  • ISBN: 1482220865
  • Category: Mathematics
  • Page: 1086
  • View: 9853
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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 Miklós Bóna of the University of Florida where he is a member of the Academy of Distinguished Teaching Scholars. He received his Ph.D. in mathematics at Massachusetts Institute of Technology in 1997. Miklós is the author of four books and more than 65 research articles, including the award-winning Combinatorics of Permutations. Miklós Bóna is an editor-in-chief for the Electronic Journal of Combinatorics and Series Editor of the Discrete Mathematics and Its Applications Series for CRC Press/Chapman and Hall. The first two chapters provide a comprehensive overview of the most frequently used methods in combinatorial enumeration, including algebraic, geometric, and analytic methods. These chapters survey generating functions, methods from linear algebra, partially ordered sets, polytopes, hyperplane arrangements, and matroids. Subsequent chapters illustrate applications of these methods for counting a wide array of objects. The contributors for this book represent an international spectrum of researchers with strong histories of results. The chapters are organized so readers advance from the more general ones, namely enumeration methods, towards the more specialized ones. Topics include coverage of asymptotic normality in enumeration, planar maps, graph enumeration, Young tableaux, unimodality, log-concavity, real zeros, asymptotic normality, trees, generalized Catalan paths, computerized enumeration schemes, enumeration of various graph classes, words, tilings, pattern avoidance, computer algebra, and parking functions. This book will be beneficial to a wide audience. It will appeal to experts on the topic interested in learning more about the finer points, readers interested in a systematic and organized treatment of the topic, and novices who are new to the field.

Analytic Combinatorics in Several Variables

Analytic Combinatorics in Several Variables

  • Author: Robin Pemantle,Mark C. Wilson
  • Publisher: Cambridge University Press
  • ISBN: 1107031575
  • Category: Mathematics
  • Page: 380
  • View: 3324
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This book is the result of nearly fifteen years of work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. It is the first book to describe many of the results and techniques necessary to estimate coefficients of generating functions in more than one variable.

The Mathematical Legacy of Richard P. Stanley

The Mathematical Legacy of Richard P. Stanley

  • Author: Patricia Hersh,Thomas Lam,Pavlo Pylyavskyy,Victor Reiner
  • Publisher: American Mathematical Soc.
  • ISBN: 1470427249
  • Category: Combinatorial analysis
  • Page: 352
  • View: 9728
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Richard Stanley's work in combinatorics revolutionized and reshaped the subject. His lectures, papers, and books inspired a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a valuable bonus, this book contains a collection of Stanley's short comments on each of his papers. This book may serve as an introduction to several different threads of ongoing research in combinatorics as well as giving historical perspective.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

  • Author: Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
  • Publisher: World Scientific
  • ISBN: 9813272899
  • Category: Mathematics
  • Page: 5396
  • View: 4585
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The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Graph Theory

Graph Theory

Modeling, Applications, and Algorithms

  • Author: Geir Agnarsson,Raymond Greenlaw
  • Publisher: Prentice Hall
  • ISBN: N.A
  • Category: Computers
  • Page: 446
  • View: 2290
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Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields – and is now one of the fastest-growing areas in discrete mathematics and computer science. This practical, intuitive book introduces basic concepts, definitions, theorems, and examples from graph theory.Presents a collection of interesting results from mathematics that involve key concepts and proof techniques. Covers design and analysis of computer algorithms for solving problems in graph theory. Discusses applications of graph theory to the sciences. Includes a collection of graph algorithms, written in Java, that are ready for compiling and running.For anyone interested in learning graph theory, discrete structures, or algorithmic design for graph problems.

Advanced Studies in Contemporary Mathematics

Advanced Studies in Contemporary Mathematics

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 8119
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The British National Bibliography

The British National Bibliography

  • Author: Arthur James Wells
  • Publisher: N.A
  • ISBN: N.A
  • Category: Catalogs
  • Page: N.A
  • View: 5508
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Applications of polyhedral geometry to computational representation theory

Applications of polyhedral geometry to computational representation theory

  • Author: Tyrrell B. McAllister
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: 242
  • View: 4161
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Congressus Numerantium

Congressus Numerantium

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Combinatorial analysis
  • Page: N.A
  • View: 5796
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