Enumerative Combinatorics, Volume 1

Richard P. Stanley

ISBN 10: 0521663512 / ISBN 13: 9780521663519

Published by Cambridge University Press, 2000

About this Item

: Este libro es la primera parte de una introducción básica en dos volúmenes a la combinatoria enumerativa, adecuada para estudiantes de posgrado e investigadores en matemáticas. Se centra en la teoría y aplicación de funciones generadoras, una herramienta fundamental en la combinatoria enumerativa. Cubre las partes de la combinatoria enumerativa de mayor aplicabilidad a otras áreas de las matemáticas. Los cuatro capítulos están dedicados a una introducción accesible a la enumeración, métodos de cribado (incluido el Principio de Inclusión-Exclusión), conjuntos parcialmente ordenados y funciones generadoras racionales. Incluye una gran cantidad de ejercicios, casi todos con soluciones, que amplían enormemente el texto y proporcionan una entrada a muchas áreas no cubiertas directamente. EAN: 9780521663519 Tipo: Libros Categoría: Ciencias Título: Enumerative Combinatorics, Volume 1 Autor: Richard P. Stanley Editorial: Cambridge University Press Idioma: en Páginas: 340 Formato: tapa blanda.

Seller Inventory # Happ-2026-03-24-55436f1c

Bibliographic Details

• Title: Enumerative Combinatorics, Volume 1
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521663512
• ISBN 13: 9780521663519
• Binding: Soft cover
• Condition: Bueno

About this title

Synopsis

This book, the first of a two-volume basic introduction to enumerative combinatorics, concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. Richard Stanley covers those parts of enumerative combinatorics with the greatest applications to other areas of mathematics. The four chapters are devoted to an accessible introduction to enumeration, sieve methods--including the Principle of Inclusion-Exclusion, partially ordered sets, and rational generating functions. A large number of exercises, almost all with solutions, augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

Book Description

Enumerative combinatorics deals with the basic problem of counting how many objects have a given property. Since this problem arises in many areas of mathematics and science the subject is of great applicability. This book provides an introduction to the subject at a level suitable for graduate students and research mathematicians. The author has made a special effort, by providing extensive exercises with solutions, to show the broad applicability of enumerative combinatorics to other areas of mathematics.