Enumerative combinatorics deals with the basic problem of counting how many objects have a given property, a subject of great applicability. This book provides an introduction at a level suitable for graduate students. Extensive exercises with solutions show connections to other areas of mathematics.
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'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to Volume 2: I find it impossible to predict when Richard Stanley's two-volume exposition of combinatorics may be superseded.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.' J. E. 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.' D. V. Feldman, University of New Hampshire
'What else is to be added to our comments on this excellent book? Perhaps a quotation from G.-C. Rota's foreword: 'Every once in a long while, a textbook worthy of the name comes along ... Weber, Bertini, van der Waerden, Feller, Dunford and Schwartz, Ahlfors, Stanley.' European Mathematical Society
'... an authoritative account of enumerative combinatorics.' George E. Andrews, Bulletin of the London Mathematical Society
'What else can be added to the comments upon this excellent book?' EMS Newsletter
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 func
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Zustand: Fair. Volume 2. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9780521789875. Bestandsnummer des Verkäufers 9780035
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Blanda. Zustand: New. Zustand des Schutzumschlags: Nuevo. No Aplica (illustrator). 0. This is the second of a two - volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians . This volume 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 and focusing on combinatorics , especially the Robinson - Schensted - Knuth algorithm . Also covered are connections between symmetric functions and representation theory . An appendix ( written 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 . From a review of Volume 1 : " . sure to become a standard as an introductory graduate text in combinatorics . " George E. Andrews , Bulletin of the American Mathematical Society. 780 gr. Libro. Bestandsnummer des Verkäufers 9780521789875LEA43153
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