Calculus

Fourier Series

Fourier Series

This section contains a selection of about 50 problems on Fourier series with full solutions. The problems cover the following topics: Definition of Fourier Series and Typical Examples, Fourier Series of Functions with an Arbitrary Period, Even and Odd Extensions, Complex Form, Convergence of Fourier Series, Bessel’s Inequality and Parseval’s Theorem, Differentiation and Integration of Fourier Series, Orthogonal Polynomials and Generalized Fourier Series. Each of the chapters includes appropriate definitions and formulas followed by solved problems listed in order of increasing difficulty. For students this material is a valuable complement to textbooks, for lecturers teaching calculus, a helpful reference.