The Theory of Partitions
1st Edition
Published on 29. March 2011
978-0-511-86998-3 (ISBN)
Description
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.
Reviews / Votes
'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 SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
5 Tables, unspecified; 12 Line drawings, unspecified
File size
9,24 MB
ISBN-13
978-0-511-86998-3 (9780511869983)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
George E. Andrews
The Theory of Partitions
Book
07/1998
Cambridge University Press
€80.20
Shipment within 15-20 days
George E. Andrews
The Theory of Partitions
Book
12/1984
Cambridge University Press
€34.11
Article exhausted; check for reprint
Person
Content
1. The elementary theory of partitions; 2. Infinite series generating functions; 3. Restricted partitions and permutations; 4. Compositions and Simon Newcomb's problem; 5. The Hardy-Ramanujan-Rademacher expansion of p(n); 6. The asymptotics of infinite product generating functions; 7. Identities of the Rogers-Ramanujan type; 8. A general theory of partition identities; 9. Sieve methods related to partitions; 10. Congruence properties of partition functions; 11. Higher-dimensional partitions; 12. Vector or multipartite partitions; 13. Partitions in combinatorics; 14. Computations for partitions.
