Integer Partitions / Edition 2

Integer Partitions / Edition 2

by George E. Andrews, Kimmo Eriksson
     
 

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… See more details below

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
Sales rank:
1,398,109
Product dimensions:
5.98(w) x 8.98(h) x 0.35(d)

Meet the Author

George E. Andrews is Evan Pugh Professor of Mathematics at the Pennsylvania State University. He has been a Guggenheim Fellow, the Principal Lecturer at a Conference Board for the Mathematical Sciences meeting, and a Hedrick Lecturer for the MAA. Having published extensively on the theory of partitions and related areas, he has been formally recognized for his contribution to pure mathematics by several prestigious universities and is a member of the National Academy of Sciences (USA).

Kimmo Eriksson is Professor of Mathematics at Mälardalen University College, where he has served as the dean of the Faculty of Science and Technology. He has published in combinatorics, computational biology and game theory. He is also the author of several textbooks in discrete mathematics and recreational mathematics, and has received numerous prizes for excellence in teaching.

Table of Contents

1Introduction1
2Euler and beyond5
3Ferrers graphs14
4The Rogers-Ramanujan identities29
5Generating functions42
6Formulas for partition functions55
7Gaussian polynomials64
8Durfee squares75
9Euler refined88
10Plane partitions99
11Growing Ferrers boards106
12Musings121
AOn the convergence of infinite series and products126

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