## 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