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The Theory of Partitions (Softcover)

The Theory of Partitions (Softcover)

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LIKE NEW: This book is in excellent, like-new condition.

Product Details

Continued from the back cover: "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."

CONTENTS

  • Editor's Statement
  • Preface to Paperback Edition
  • Preface
  • Chapters
    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. 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
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AUTHOR: Andrews;George E.
PUBLISHER: Cambridge University Press
ISBN-13: 9780521637664
ISBN-10: 052163766X
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