Integer Partitions

George E. Andrews, Kimmo Eriksson

141 pages, parution le 03/12/2004

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Résumé

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics.

The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.

The book has a short introduction followed by an initial chapter introducing Euler' s famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.

L'auteur - George E. Andrews

is Evan Pugh Professor of Mathematics at the Pennsylvania State University. He is the author of many books in mathematics, including The Theory o/Partitions (Cambridge University Press). He is a member of the American Academy of Arts and Sciences. In 2003, he was elected to the National Academy of Sciences (USA).

L'auteur - Kimmo Eriksson

is a professor of applied mathematics at Malardalen University in Sweden. He is the author of several mathematical textbooks and popular articles in Swedish, as well as the opera Kurfursten with music by Jonas Sjostrand. He is a member of the Vastmanland Academy (Sweden).

Sommaire

Introduction
Euler and beyond
The Rogers-Ramanujan identities
Generating functions
Formulas for partition functions
Gaussian polynomials
Durfee squares
Euler refined
Plane partitions
Growing Ferrers boards
Musings
On the convergence of infinite series and products
References
Solutions and hints to selected exercices

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	George E. Andrews, Kimmo Eriksson
Parution	03/12/2004
Nb. de pages	141
Format	15 x 23
Couverture	Broché
Poids	218g
Intérieur	Noir et Blanc
EAN13	9780521600903
ISBN13	978-0-521-60090-3