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The Theory of Partitions

George E. Andrews
Publisher: 
Cambridge University Press
Publication Date: 
1998
Number of Pages: 
271
Format: 
Paperback
Series: 
Cambridge Mathematical Library
Price: 
39.99
ISBN: 
052163766X
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 Editor's statement; Preface to paperback edition; Preface; 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-Radmacher expansion of p(n); 6. The asymptotics of infinite product generating functions; 7. Indentities 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; Index for definitions of symbols; Author index; Subject index.