Higher Mathematics for Science, Technology and Engineering

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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The ...
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Real and Complex Fourier Series

Pp. 342-369 (28)

S. G. Ahmed

Abstract

Fourier series is one of the topics that used in function approximation, especially when it is recommended using series expansion instead of using the function it-self. But one may ask himself just simple question, is the Fourier series can be good alternative than the original function?. The answer is actually no and no one can say we can get accurate approximation for the function but we can say Fourier series is quite approximation for the function within specified period under prescribed conditions related to the function itself.

Keywords:

Complex Fourier Expansion. Fourier series, Half-Range Expansion, Odd and Even Function.

Affiliation:

Department of Engineering Physics and Mathematics, Faculty of Engineering, Zagazig University, Egypt.