Seeley R An Introduction to Fourier Series and Integrals 1996
General:
Name: Seeley R An Introduction to Fourier Series and Integrals 1996
Format: pdf
Size: 171.73 MB
Book:
Title: An introduction to Fourier series and integrals (Mathematics monograph series)
Author: Robert T Seeley
Language: angielski
Year: 2014
Subjects: Science & Technology, Mathematics, Mathematical Analysis, Mathematical Analysis – General & Miscellaneous, Mathematical Series
Publisher: Dover Publications
ISBN: 9780486151793
Total pages: 124
Description:
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.
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