Euler-Fourier Formulas

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Euler-Fourier Formulas

 

formulas for calculating the coefficients of the expansion of a function in a trigonometric series (Fourier series). The Euler-Fourier formulas are named after L. Euler, who provided their first derivation in 1777, and J. Fourier, who, beginning in 1811, systematically used trigonometric series in the study of problems of heat conduction. (SeeFOURIER COEFFICIENT and TRIGONOMETRIC SERIES.)

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.