Integer Partitions / Edition 2

Integer Partitions / Edition 2

by George E. Andrews, Kimmo Eriksson
     
 

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ISBN-10: 0521600901

ISBN-13: 9780521600903

Pub. Date: 05/28/2010

Publisher: Cambridge University Press

Andrews (mathematics, Pennsylvania State University) and Eriksson (applied mathematics, Mälardalen University, Sweden) introduce integer partitions in this text for a one-semester undergraduate course for students with some background in polynomials and indefinite series. Coverage progresses from Euler's theorem through Ferrers boards and unsolved problems. To

Overview

Andrews (mathematics, Pennsylvania State University) and Eriksson (applied mathematics, Mälardalen University, Sweden) introduce integer partitions in this text for a one-semester undergraduate course for students with some background in polynomials and indefinite series. Coverage progresses from Euler's theorem through Ferrers boards and unsolved problems. To make the test both easier and more stimulating, many arguments have been omitted and left as exercises. Annotation ©2005 Book News, Inc., Portland, OR

Product Details

ISBN-13:
9780521600903
Publisher:
Cambridge University Press
Publication date:
05/28/2010
Edition description:
New Edition
Pages:
152
Product dimensions:
5.98(w) x 8.98(h) x 0.35(d)

Table of 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; A. Infinite series and products; B. References; C. Solutions and hints.

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