Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts, Series Number 43) - Hardcover

Terras, Audrey

Hardcover

ISBN 10: 0521451086 ISBN 13: 9780521451086

Publisher: Cambridge University Press, 1999

Synopsis

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory, number theory and probability, the book presents a concrete approach to abstract group theory through applied examples, pictures and computer experiments. The author divides the book into two parts. In the first part, she parallels the development of Fourier analysis on the real line and the circle, and then moves on to analog of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices with 1's down the diagonal and entries in a finite field. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.

About this title

Review

"The book certainly contains a wealth of information...a rewarding pleasure to leaf through its pages." Mathematical Reviews

"...Not merely readable but entertaining and also easy to browse, this book should help lift undergraduate mathematics to a higher level of mathematical sophistication and maturity. Highly recommended." Choice

Edition details

• Publisher: Cambridge University Press
• Publication date: 1999
• ISBN 10: 0521451086
• ISBN 13: 9780521451086
• Binding: Hardcover
• Language: English
• Number of pages: 452