Enumerative Combinatorics: Volume 2 (Cambridge Studies in Advanced Mathematics)

Stanley, Richard

ISBN 10: 1009262491 ISBN 13: 9781009262491

Editorial: Cambridge University Press, 2023

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Enumerative Combinatorics: Volume 2 (Cambridge Studies in Advanced Mathematics)

Editor

Cambridge University Press

Fecha de publicaci�n

2023

Idioma

Ingl�s

ISBN 10

1009262491

ISBN 13

9781009262491

Encuadernaci�n

Encuadernaci�n de tapa dura

Edici�n

2� Edici�n

Estado

New

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Sinopsis

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 two covers the composition of generating functions, in particular the exponential formula and the Lagrange inversion formula, labelled and unlabelled trees, algebraic, D-finite, and 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. An appendix by Sergey Fomin covers some deeper aspects of symmetric functions, including jeu de taquin and the Littlewood–Richardson rule. The exercises in the book play a vital role in developing the material, and this second edition features over 400 exercises, including 159 new exercises on symmetric functions, all with solutions or references to solutions.

Acerca del autor

Richard P. Stanley is Emeritus Professor of Mathematics at the Massachusetts Institute of Technology and an Arts and Sciences Distinguished Professor at the University of Miami. He has written over 180 research articles and six books. Among Stanley's many distinctions are membership in the National Academy of Sciences (elected in 1995) and the 2001 Leroy P. Steele Prize for Mathematical Exposition.

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