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.
: Körner provides a "shop window" for applications ranging from number theory and statistics to astronomy 0;4f3;, earth science , and electrical engineering . fourier analysis t w korner pdf
The book is a comprehensive and rigorous introduction to Fourier analysis, covering the basics of the Fourier series, Fourier transforms, and their applications to differential equations, probability theory, and more. Körner's writing style is clear, concise, and engaging, making the material accessible to readers with a solid background in calculus and linear algebra. Körner starts with a high-level view of what