The Origin of The Basic Formula of The Fourier Series

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 squa...

Full description

Saved in:
Bibliographic Details
Published inEngineering, MAthematics and Computer Science (EMACS) Journal Vol. 5; no. 1; pp. 37 - 40
Main Author Gazali, Wikaria
Format Journal Article
LanguageEnglish
Published 31.01.2023
Online AccessGet full text
ISSN2686-2573
2686-2573
DOI10.21512/emacsjournal.v5i1.9398

Cover

Loading…
More Information
Summary: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.
ISSN:2686-2573
2686-2573
DOI:10.21512/emacsjournal.v5i1.9398