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The theory of partitions

Author: George E Andrews
Publisher: Cambridge ; New York, NY, USA : Cambridge University Press, ©1998.
Series: Cambridge mathematical library.
Edition/Format:   Print book : English : 1st pbk. edView all editions and formats
Summary:

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. This book considers the many  Read more...

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Document Type: Book
All Authors / Contributors: George E Andrews
ISBN: 052163766X 9780521637664
OCLC Number: 39742738
Notes: "Original hardcover edition first published 1976 by Addison-Wesley Publishing Company, Inc., First paperback edition published 1998 by Cambridge Unicersity Press"--Title page verso.
Description: xvi, 255 pages : illustrations ; 24 cm.
Contents: 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.
Series Title: Cambridge mathematical library.
Responsibility: George E. Andrews.

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'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 Read more...

 
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