Fourier Series and Integrals

David Aldous (Series edited by), Y. L. Tong (Series edited by), H. Dym (Volume editor), H. P. McKean (Volume editor)

9780122264511, Elsevier Science

Paperback / softback, published 28 October 1985

295 pages
22.9 x 15.1 x 1.9 cm, 0.42 kg

The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

Historical Introduction. Fourier Series. Fourier Integrals. Fourier Integrals and Complex Function Theory. Fourier Series and Integrals on Groups. Additional Reading. Bibliography.

Subject Areas: Probability & statistics [PBT], Functional analysis & transforms [PBKF], Real analysis, real variables [PBKB]