$q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra (Cbms Regional Conference Series in Mathematics) - Softcover

George E. Andrews

Softcover

ISBN 10: 0821807161 ISBN 13: 9780821807163

Publisher: American Mathematical Society, 1986

Synopsis

This book integrates recent developments and related applications in $q$-series with a historical development of the field, focusing on major breakthroughs and the author's own research interests. The author develops both the important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory. He concludes with applications to physics and computer algebra and a section on results closely related to Ramanujan's ``Lost Notebook.'' With its wide range of applications, the book will interest researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra. It is understandable to even a beginning graduate student in mathematics who has a background in advanced calculus and some mathematical maturity.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1986
• Language: English
• ISBN 10: 0821807161
• ISBN 13: 9780821807163
• Binding: Paperback
• Number of pages: 130