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Theory of Partitions

Andrews, George E.
Heftet / 1998 / Engelsk

Produktdetaljer

ISBN
9780521637664
Publisert
1998-07-28
Utgiver
Cambridge University Press
Vekt
400 gr
Høyde
231 mm
Bredde
152 mm
Dybde
18 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
272

Forfatter
Andrews, George E.

Theory of Partitions

Andrews, George E.
Heftet / 1998 / Engelsk
Andrews, George E.
Heftet / 1998 / Engelsk
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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 indispensable source of information for everyone interested in this fascinating subject.' European Mathematical Society

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

Relaterte produkter

'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

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

Produktdetaljer

ISBN
9780521637664
Publisert
1998-07-28
Utgiver
Cambridge University Press
Vekt
400 gr
Høyde
231 mm
Bredde
152 mm
Dybde
18 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
272

Forfatter
Andrews, George E.

Relaterte produkter