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I read from Fourier series a Modern Introduction Volume 1,

"D. Bernoulli, D' Alembert, Lagrange, and Euler, from about 1740 onward, were led by problems in mathematical physics to consider and discuss heatedly the possibility of representing a more or less arbitrary function $f$ with period $2\pi$ as the sum of a trigonometric series.

What works in expanding $2\pi$ functions were done by the mathematicians listed above?

Bernard
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John He
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    Maybe one for https://hsm.stackexchange.com – Angina Seng Jun 25 '19 at 17:17
  • Lookup "Fourier Series". The $2\pi$ period is not at all an important aspect of this theory. All formulas are established for a period $T$. –  Jun 25 '19 at 17:49
  • Look at "A History of Functional Analysis" by J. Dieudonne. There's a great historical account in Chapter 1. Starting in Section 2, Dieudonne discusses the history of this. – Disintegrating By Parts Jun 27 '19 at 23:38

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