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 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.

About this title

Review

'This book is likely to broader the mind of many a professional mathematician, and the list of over 400 references will be a valuable resource.' Peter Rowlinson, Bulletin of the London Mathematical Society

Book Description

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative, which is accessible to advanced undergraduates and beginning graduate students in mathematics, engineering and the physical sciences. Abstract group theory becomes concrete via applications, pictures and computer experiments.

Edition details

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