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    Trigonometric Fourier Series

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    1965_MorganT_THS_000173.pdf (7.190Mb)
    Author
    Morgan, Thomas
    Advisor
    Alfred Murray
    Date of Issue
    1965-04-01
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    URI
    https://scholars.carroll.edu/handle/20.500.12647/3502
    Title
    Trigonometric Fourier Series
    Type
    thesis
    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)
    Degree Awarded
    Bachelor's
    Semester
    Spring
    Department
    Mathematics, Engineering & Computer Science
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