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The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.Read more
- Early treatment of Rogers-Ramanujan identities
- Includes an introduction to the interaction of probability and partitions
- The first elementary introduction to this exciting topic
Reviews & endorsements
"...until now there has not been a good introduction to the subject at an elementary level. Integer Partitions...is written at a level that most undergraduates, and even many high school students, could follow quite easily."
-MAA Reviews, Darren Glass, Columbia UniversitySee more reviews
"This book is written in a very easy and friendly style. The authors start from scratch and lead the readers from the easy to the unsolved problems. It is really a pleasure to read."
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- Date Published: October 2004
- format: Paperback
- isbn: 9780521600903
- length: 152 pages
- dimensions: 229 x 152 x 9 mm
- weight: 0.23kg
- contains: 58 b/w illus. 5 tables 168 exercises
- availability: Available
Table of Contents
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
A. Infinite series and products
C. Solutions and hints.
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