Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Perhaps the most beautiful aspect of mathematics is that it applies to literally everything, even things that do not exist in ...

Abstract: The Fourier transform decomposes a function into frequencies, and it is a powerful tool in analysis: it "maps" convolutions into multiplications, and derivatives into polynomials. When ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...