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The Theory of Partitions.
・ISBN 978-0-521-63766-4 1998 paper GB£ 60.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-60865-0
| 著者・編者 | Andrews, George E., |
|---|---|
| シリーズ | Encyclopedia of Mathematics and its Applications |
| 出版社 | (Cambridge University Press, UK) |
| ページ数 | 272 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-10760> |
解説
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.