Engineering, Mathematics and Computer Science Journal (EMACS)
Vol. 5 No. 1 (2023): EMACS

The Origin of The Basic Formula of The Fourier Series

Wikaria Gazali (Bina Nusantara University)



Article Info

Publish Date
31 Jan 2023

Abstract

This paper discusses the Origin of the Basic Formula for the Fourier Series f(t)=a0/2+∑∞k=1 [ak cos⁡(kπt/L)+bk sin⁡(kπt/L) ] To obtain this model, the author derives the basic formula for the Fourier Series from Elementary Linear Algebra. In this derivation, we use the best approximation: least squares method whose details will be elaborated in this paper until we obtain the formula for the Fourier Series.

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Journal Info

Abbrev

EMACS

Publisher

Subject

Civil Engineering, Building, Construction & Architecture Computer Science & IT Engineering Industrial & Manufacturing Engineering Mathematics

Description

Engineering, MAthematics and Computer Science (EMACS) Journal invites academicians and professionals to write their ideas, concepts, new theories, or science development in the field of Information Systems, Architecture, Civil Engineering, Computer Engineering, Industrial Engineering, Food ...