Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts 43)

Description:

456 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1286230

About this title:

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.

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

Bibliographic Details

Title: Fourier Analysis on Finite Groups and ...
Publisher: Cambridge University Press
Publication Date: 1999
Condition: Fine