Fourier Series and Integrals

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.

List of contents

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

Summary

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

Product details

• Authors: H. Dym, Harry Dym, Henry P. McKean
• Assisted by: David Aldous (Editor), H. Dym (Editor), H. P. McKean (Editor), Y. L. Tong (Editor), Aldous David (Editor of the series), Tong Y. L. (Editor of the series)
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Paperback / Softback
• Released: 28.10.1985
• EAN: 9780122264511
• ISBN: 978-0-12-226451-1
• No. of pages: 295
• Series: Probability and Mathematical S; Probability and Mathematical S; Probability and Mathematical Statistics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Functional Analysis, Probability & statistics, Functional analysis & transforms, Probability and statistics, Functional analysis and transforms