Trigonometric Fourier Series

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Authors
Morgan, Thomas
Advisor
Alfred Murray
Editor
Date of Issue
1965-04-01
Subject Keywords
Publisher
Citation
Series/Report No.
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Title
Trigonometric Fourier Series
Other Titles
Type
thesis
Description
Abstract
A function f(x) is called periodic if there exists a constant T > o for which f(x+T)=f(x) for any x. The constant T is called the period of the function f(x). The most familiar periodic functions are sin x, cos x, tan x, etc. Periodic functions arise in many applications of mathematics to problems of physics and engineering. Expressing these periodic functions in terms of a Fourier series is a great tool in solving m a n y of these problems. If we plot a periodic function y = f(x) o n any closed interval a x a + T, we can obtain the entire graph of f(x) b y periodic repetition of the portion of the curve represented in the interval a f x < a + T. (see Fig. I)
Sponsors
Degree Awarded
Bachelor's
Semester
Spring
Department
Mathematics, Engineering & Computer Science