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The Theory of Partitions (Cambridge Mathematical Library)

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The Theory of Partitions (Cambridge Mathematical Library) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Discusses mathematics related to partitions of numbers into sums of positive integers.

Table of 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.

Product Details

ISBN:
9780521637664
Author:
Andrews, George E.
Publisher:
Cambridge University Press
Author:
George E., Andrews
Location:
New York
Subject:
Probability
Subject:
Number Theory
Subject:
Partitions (mathematics)
Subject:
Mathematics-Number Theory
Subject:
Algebra - General
Edition Description:
Trade paper
Series:
Encyclopedia of Mathematics and its Applications
Series Volume:
2
Publication Date:
20030431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
12 b/w illus. 5 tables
Pages:
272
Dimensions:
9.10x5.98x.70 in. .86 lbs.

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Humanities » Philosophy » General
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Science and Mathematics » Mathematics » Number Theory

The Theory of Partitions (Cambridge Mathematical Library) New Trade Paper
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$70.50 In Stock
Product details 272 pages Cambridge University Press - English 9780521637664 Reviews:
"Synopsis" by , Discusses mathematics related to partitions of numbers into sums of positive integers.
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