Cambridge University Press, Cambridge, Young tableaux. With applications to representation theory and geometry, volume 35 of London Mathematical Society Student Texts.
Cam- bridge University Press, Cambridge, The symmetric group. Representations, combinatorial algo- rithms, and symmetric functions.
Graduate Texts in Mathematics. Springer- Verlag, New York, second edition edition, Combinatorics: The Art of Counting.
Richard Peter Stanley — Wikipédia
In preparation. Freely available preliminary version online. Algebraic combinatorics. Walks, trees, tableaux, and more, second edition. Undergraduate Texts in Mathematics.
Springer, Cham, Freely available without exercices online. Academic Press, Inc. Only the first edition is available at the library. Honor principle. Welke opties voor jouw bestelling beschikbaar zijn, zie je bij het afronden van de bestelling.
Enumerative Combinatorics: Volume 1
Schrijf een review. E-mail deze pagina. Auteur: Richard P. Stanley Stanley Richard P. Uitgever: Cambridge University Press. Co-auteur: Fomin, Sergey P. Samenvatting 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 There are over exercises, all with solutions or references to solutions, many of which concern previously unpublished results.
ISBN 13: 9781107602625
Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference. Toon meer Toon minder.
Recensie s 'This magnificent two-volume work is best described by a quote from Gian-Carlo Rota's Forward to Volume 2: I find it impossible to predict when Richard Stanley's two-volume exposition of combinatorics may be superseded. No one will dare try, let alone be able, to match the thoroughness of coverage, the care for detail, the definitiveness of proof, the elegance of presentation.
Graver 'As a researcher, Stanley has few peers in combinatorics; as at once, to pack every page with information, connect with the reader's intuition, and communicate the underlying, unifying philosophy of the subject. Feldman, University of New Hampshire 'What else is to be added to our comments on this excellent book? Perhaps a quotation from G. Rota's foreword: 'Every once in a long while, a textbook worthy of the name comes along Andrews, Bulletin of the London Mathematical Society 'What else can be added to the comments upon this excellent book?
Both volumes highly recommended for all libraries. Choice Volume 2 not only lives up to the high standards set by Volume 1, but surpasses them Stanley's book is a valuable contribution to enumerative combinatorics. Beginners will find it an accessible introduction to the subject, and experts will still find much to learn from it.
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