Description
Partial Differential Equations with Fourier Series and Boundary Value Problems provides a comprehensive introduction to partial differential equations and boundary-value problems, with a strong emphasis on Fourier series and applications. The book covers Fourier series and convergence, partial differential equations in rectangular and spherical coordinates, Bessel and Legendre functions, Sturm–Liouville theory, Fourier and Laplace transforms, and related boundary-value techniques. It also explores applications involving heat equations, wave equations, Laplace's equation, and other mathematical models arising in physics and engineering. Through rigorous explanations, proofs, worked examples, and exercises, the book develops the methods needed to formulate and solve important classes of partial differential equations.
