Questions tagged [fourier]

Jean-Baptiste Joseph Fourier (1768-1830) was a French mathematician and physicist best known for initiating the investigation of Fourier series, which eventually developed into Fourier analysis and harmonic analysis, and their applications to problems of heat transfer and vibrations.

Filter by
Sorted by
Tagged with
1
vote
0answers
11 views

How did Fourier determine the coefficients of Fourier series?

I was reading a chapter of Fourier's seminal work "Analytic Theory of Heat". The third chapter of this book was translated by the famous Stephen Hawking in his book "God created the ...
3
votes
1answer
92 views

Did Fourier use heated metal rings as experimental evidence to justify his mathematical discoveries?

In his answer to a previous question Alexandre Eremenko pointed out that Joseph Fourier in his book Analytic Theory of Heat gave all kinds of arguments in favor of the following mathematical ...
3
votes
2answers
191 views

History behind the heat equation

Who was the first mathematician/physicist to derive the heat equation $u_t=\Delta u$ and when? Was it already known to explain most diffusion phenomena? How much time passed between the first ...
6
votes
3answers
186 views

Were the kilogram, the grave, etc. meant to be units of weight, units of mass, or was it ambiguous at the time?

It is sometimes stated that the early metric units of 'weight' really were meant to be exactly that: units of weight (i.e. force), not mass. However, is that really so? In fact, did the people ...
4
votes
0answers
161 views

Origin of the Fourier transform (1878)

I located Joseph Fourier's book, Analytical Theory of Heat (1878), but at first glance it looks like it is all about heat. What did Fourier call the Fourier transform? When did he first use it?
5
votes
2answers
295 views

Substantiating claimed Fourier quote about “an arbitrarily capricious graph”

The following quote (in English) is fairly widely attributed to Fourier, but I can't substantiate it. An arbitrary function, continuous or with discontinuities, defined in a finite interval by an ...