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Integer partitions

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cambridge Cambridge University Press 2004Description: ix, 141p. illISBN:
  • 0521600901 (PB)
Subject(s):
Contents:
1. Introduction 2. Euler and beyond; 3. Ferrers graphs; 4. The Rogers-Ramanujan identities; 5. Generating functions; 6. Formulas for partition functions; 7. Gaussian polynomials; 8. Durfee squares; 9. Euler refined; 10. Plane partitions; 11. Growing Ferrers boards; 12. Musings;
Summary: The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.12 AND (Browse shelf(Opens below)) Available 53980

Includes index.

Includes Bibliography (p. 129-131) and references.

1. Introduction
2. Euler and beyond;
3. Ferrers graphs;
4. The Rogers-Ramanujan identities;
5. Generating functions;
6. Formulas for partition functions;
7. Gaussian polynomials;
8. Durfee squares;
9. Euler refined;
10. Plane partitions;
11. Growing Ferrers boards;
12. Musings;

The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.

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The Institute of Mathematical Sciences, Chennai, India