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The Theory of Partitions : Cambridge Mathematical Library - George E. Andrews

The Theory of Partitions

Cambridge Mathematical Library

Paperback Published: 14th December 1998
ISBN: 9780521637664
Number Of Pages: 272

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This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4: 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.

'A good introduction to a fascinating subject ... a very pleasant book to read.' Richard Askley, Bulletin of the AMS 'There is no doubt that this book will continue to serve as a basic and indispensable source of information for everyone interested in this fascinating subject.' European Mathematical Society

The elementary theory of partitions
Infinite series generating functions
Restricted partitions and permutations
Compositions and Simon Newcomb's problem
The Hardy-Ramanujan-Rademacher expansion of p(n)
The asymptotics of infinite product generating functions
Identities of the Rogers-Ramanujan type
A general theory of partition identities
Sieve methods related to partitions
Congruence properties of partition functions
Higher-dimensional partitions
Vector or multipartite partitions
Partitions in combinatorics
Computations for partitions
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521637664
ISBN-10: 052163766X
Series: Cambridge Mathematical Library
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 272
Published: 14th December 1998
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.11 x 15.19  x 1.78
Weight (kg): 0.39

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