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Presents information about the French mathematician Jean-Baptiste-Joseph Fourier (1768-1830). Includes a brief biography. States that Fourier developed a trigonometric series, called the Fourier series, in which discontinuous functions can be expressed as the sum of an infinite series of sines and cosines. Links to a site related to Fourier. Notes that the information is provided as part of the Western Canon Web site.
Presents information about the French mathematician Jean-Baptiste-Joseph Fourier (1768-1830). Includes a brief biography. States that Fourier developed a trigonometric series, called the Fourier series, in which discontinuous functions can be expressed as the sum of an infinite series of sines and cosines. Links to a site related to Fourier. Notes that the information is provided as part of the Western Canon Web site.
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" Messieurs, un académicien, jadis, ne différait d’un autre académicien, que par le nombre, la nature et l’éclat de ses découvertes. Leur vie, jetée en quelque sorte dans le même moule, se composait d’événements peu dignes de remarque. Une enfance plus ou moins studieuse ; des progrès tantôt lents, tantôt rapides ; une vocation contrariée par des parents capricieux ou aveugles ; l’insuffisance de fortune, les privations qu’elle amène à sa suite, trente ans d’un professorat pénible et d’études difficiles, tels étaient les éléments tout ordinaires dont le talent admirable des anciens secrétaires de l’Académie a su tirer ces tableaux si piquants, si spirituels, si variés, qui forment un des principaux ornements de vos savantes collections."
Beyond being the first substantial publication on Fourier, this work contains the text of Fourier's seminal paper of 1807 on the propagation of heat, marking the first time it has ever appeared in print. This paper incorporates many of the mathematical creations on which Fourier's fame rests, including derivation of the diffusion equation, the separation of the treatment of surface phenomena from internal phenomena, the use of boundary values and initial conditions, and the development of "Fourier series" and the so-called "Bessel functions."When submitted to the examiners of the Institut de France, the originality of the paper and the surprising nature of some of its mathematical revelation...
Beyond being the first substantial publication on Fourier, this work contains the text of Fourier's seminal paper of 1807 on the propagation of heat, marking the first time it has ever appeared in print. This paper incorporates many of the mathematical creations on which Fourier's fame rests, including derivation of the diffusion equation, the separation of the treatment of surface phenomena from internal phenomena, the use of boundary values and initial conditions, and the development of "Fourier series" and the so-called "Bessel functions." When submitted to the examiners of the Institut de France, the originality of the paper and the surprising nature of some of its mathematical revelatio...