商品簡介
Colton (mathematics, U. of Delaware) updates his original edition published by Random House in 1988, but still focuses on students at the advanced undergraduate or early graduate level with a background in advanced calculus and ordinary differential equations. He introduces readers to first order linear equations, second order equations and canonical forms, Fourier series and integrals, analytic functions, and gives a brief history of the theory of partial differential equations. He describes in detail the wave equation, the heat equation, Laplace's equation (including Green's formulae and Poisson's equation), potential theory and Fredholm integral equations, and scattering theory. Colton provides exercises with each chapter. Annotation c2004 Book News, Inc., Portland, OR (booknews.com)