Pdf - Fourier Analysis T W Korner

Körner starts with a high-level view of what Fourier series are. He writes out the formula for the Fourier coefficients using sines and cosines, then immediately asks the dangerous question: Does this infinite sum actually equal the original function? This leads to a dramatic retelling of the 19th-century mathematical battles involving Dirichlet, Riemann, and Weierstrass.

Standard textbooks show you how to compute a Fourier transform. Körner shows you why the Fourier series of a continuous function might diverge at a point, and why that matters for the stability of electronic filters. fourier analysis t w korner pdf