An Introduction to Fourier Series and Integrals

Author(s): Robert T. Seeley
Genre: Science, Reference
Original Publish Date: Jan 23, 2014
Product Number: EB00794054
Released: Dec 02, 2019
Business Term: Purchase
ISBN: #9780486151793
Publisher: Dover Publications
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A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.