Logan J.D. Applied Partial Differential Equations

2nd Edition. — Springer, 2004. — 221 p. — (Undergraduate Texts in Mathematics). — ISBN: 0387209352.This text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions, or separation of variables, and methods based on Fourier and Laplace transforms.The Physical Origins of Partial Differential Equations
Partial Differential Equations on Unbounded Domains
Orthogonal Expansions
Partial Differential Equations on Bounded Domains
Partial Differential Equations in the Life Sciences
Appendixes
Ordinary Differential Equations
Table of Laplace Transforms