Richard P. Stanley

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Pays :États-Unis
Langue :anglais
Note :
Mathématicien. - En poste au Massachusetts institute of technology, Cambridge, Massachusetts, USA (en 1986)
ISNI :ISNI 0000 0001 2103 7302

Ses activités

Auteur du texte7 documents

  • Algebraic Combinatorics

    Walks, Trees, Tableaux, and More

    Description matérielle : 1 online resource
    Description : Note : Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author's extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erdős-Moser conjecture, electrical networks, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Pólya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhäuser
    Édition : New York, NY : Springer New York : Springer e-books : Imprint: Springer , 2013

    [catalogue][http://catalogue.bnf.fr/ark:/12148/cb446658012]
  • Combinatorics and commutative algebra

    2nd ed.
    Description matérielle : VI-164 p.
    Description : Note : Bibliogr. p. [145]-159. Index
    Édition : Boston ; Basel ; Berlin : Birkhäuser , cop. 1996

    [catalogue][http://catalogue.bnf.fr/ark:/12148/cb375290521]
  • Enumerative combinatorics

    Description matérielle : vol.
    Description : Note : Notice red. d'après le vol. 1 de 1986
    Édition : Monterey (Calif.) : Wadsworth & Brooks/Cole advanced books & software , cop. 19??-

    [catalogue][http://catalogue.bnf.fr/ark:/12148/cb37332004b]
  • Enumerative combinatorics Volume 2

    Description matérielle : XII-585 p.
    Description : Note : Bibliogr. en fin de chap. Index
    Édition : Cambridge ; New York ; Melbourne [etc.] : Cambridge university press , 1999

    [catalogue][http://catalogue.bnf.fr/ark:/12148/cb37735368t]
  • Enumerative combinatorics Volume 1

    [Reprint]
    Description matérielle : XI-326
    Description : Note : Bibliogr. en fin de chap. Index
    Édition : Cambridge ; New York ; Melbourne [etc.] : Cambridge university press , cop. 1997

    [catalogue][http://catalogue.bnf.fr/ark:/12148/cb37735367g]

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Sources de la notice

  • Enumerative combinatorics. Vol. I / Richard P. Stanley, 1986

Biographie Wikipedia

  • Richard Peter Stanley (né le 3 juin 1944 à New York, aux États-Unis) est professeur titulaire de la chaire Norman Levinson de mathématiques appliqués au Massachusetts Institute of Technology, à Cambridge. Il a obtenu un Ph. D. sous la direction de Gian-Carlo Rota à l'université Harvard en 1971. Il est universellement reconnu comme chercheur de premier rang dans le domaine de la combinatoire et de ses applications.

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