Definition of Fourier series

1. Noun. The sum of a series of trigonometric expressions; used in the analysis of periodic functions.

Generic synonyms: Series

Definition of Fourier series

1. Noun. (mathematics) a series of cosine and sine functions or complex exponential exponentials resulting from the decomposition of a periodic function ¹

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Fourier Series Pictures

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Lexicographical Neighbors of Fourier Series

Foulness Island
Founding Father
Founding Fathers
Fountain of Youth
Fouquieria columnaris
Fouquieria splendens
Four Hundred
Fourier cosine series
Fourier series (current term)
Fourier sine series
Fourier transfer
Fourier transform
Fourier transforms
Fourteenth Amendment
Fourth Crusade
Fourth Earl of Chesterfield

Literary usage of Fourier series

Below you will find example usage of this term as found in modern and/or classical literature:

1. Advanced Calculus: A Text Upon Select Parts of Differential Calculus by Edwin Bidwell Wilson (1912)
"Trigonometric or Fourier series. If the series f(x) = i «o + 2} ("t cos Ä-x ... f(x) over the interval from 0 to 2 тг in a trigonométrie or Fourier series. ..."

2. Bulletin of the American Mathematical Society by American Mathematical Society (1919)
"The consideration of the summability of the double Fourier series naturally suggests the consideration of the summability of double series involving other ..."

3. Studies on Divergent Series and Summability by Walter Burton Ford (1916)
"CHAPTER V THE SUMMABILITY AND CONVERGENCE OF Fourier series AND ALLIED DEVELOPMENTS 45. In the present chapter it is proposed to derive the principal known ..."

4. An Introduction to Celestial Mechanics by Forest Ray Moulton (1902)
"(c) Developments in Fourier series. The first terra within the bracket of (91) is obtained by replacing rt and r^ by «! and a2 respectively in (87). ..."

5. An Introduction to Mathematical Physics by Robert Alexander Houstoun (1912)
"Two and three-dimensional Fourier series and integrals. Consider the following problem : (2) . ... Fourier series ..."

6. A Course of Modern Analysis: An Introduction to the General Theory of by Edmund Taylor Whittaker (1902)
"Definition of Fourier series; nature of the region within which a Fourier ... They are called Fourier series. We have already seen that the region within ..."

7. Science by American Association for the Advancement of Science (1914)
"The Fourier series has thus necessitated a radical reconstruction of the notion of a function. This is the first of its services which I wish to emphasize, ..."

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