Fourier Analysis on Finite Groups and Applications

By:

Audrey Terras

Format:

Paperback / softback

Series:

London Mathematical Society Student Texts

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Description

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is 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. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.

Release date NZ

March 28th, 1999

Author

Audrey Terras

Audiences

Professional & Vocational
Tertiary Education (US: College)

Illustrations

64 Line drawings, unspecified

Pages

456

Series

London Mathematical Society Student Texts

Dimensions

152x229x26

ISBN-13

9780521457187

Product ID

2362853

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