The Theory of Partitions (Encyclopedia of Mathematics and its Applications, Series Number 2) - Softcover

Andrews, George E.

Softcover

ISBN 10: 052163766X ISBN 13: 9780521637664

Publisher: Cambridge University Press, 1998

Synopsis

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.

About this title

Book Description

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 theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics.

Review

'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

Edition details

• Publisher: Cambridge University Press
• Publication date: 1998
• ISBN 10: 052163766X
• ISBN 13: 9780521637664
• Binding: Paperback
• Language: English
• Number of pages: 272