Fourier Series Quotes (2 quotes)
Derrière la série de Fourier, d’autres séries analogues sont entrées dans la domaine de l’analyse; elles y sont entrées par la même porte; elles ont été imaginées en vue des applications.
After the Fourier series, other series have entered the domain of analysis; they entered by the same door; they have been imagined in view of applications.
La valeur de la science. In Anton Bovier, Statistical Mechanics of Disordered Systems (2006), 74.
Pure mathematics is much more than an armoury of tools and techniques for the applied mathematician. On the other hand, the pure mathematician has ever been grateful to applied mathematics for stimulus and inspiration. From the vibrations of the violin string they have drawn enchanting harmonies of Fourier Series, and to study the triode valve they have invented a whole theory of non-linear oscillations.
In 100 Years of Mathematics: a Personal Viewpoint (1981), 3.
In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.
(1987) --
Carl Sagan
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