Description
Partial Differential Equations: An Introduction provides an introduction to the theory and applications of partial differential equations. The book develops fundamental methods for solving important equations arising in mathematical physics, including the wave equation, heat equation, and Laplace's equation. It covers Fourier series, separation of variables, boundary-value problems, Fourier transforms, Green's functions, and related analytical techniques. The book also introduces concepts from complex variables and special functions where they are useful in solving partial differential equations. Through mathematical explanations, physical interpretations, worked examples, and applications, it connects PDE theory with problems in physics and engineering. It is a useful resource for students studying mathematics, applied mathematics, physics, and engineering.
