Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts, Series Number 43)
ISBN-13:
9780521451086
ISBN-10:
0521451086
Author:
Audrey Terras
Publication date:
1999
Publisher:
Cambridge University Press
Format:
Hardcover
452 pages
FREE US shipping
Book details
ISBN-13:
9780521451086
ISBN-10:
0521451086
Author:
Audrey Terras
Publication date:
1999
Publisher:
Cambridge University Press
Format:
Hardcover
452 pages
Summary
Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts, Series Number 43) (ISBN-13: 9780521451086 and ISBN-10: 0521451086), written by authors
Audrey Terras, was published by Cambridge University Press in 1999.
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Description
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.
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