Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linear wave equations and a brief introduction to Laplace transform solution of partial differential equations. For scientists and engineers.
A textbook suitable for courses covering such subjects as Fourier series, orthogonal functions, boundary value problems, Green's functions, transform methods, or advanced engineering mathematics and mathematical models in the physical sciences. Assumes a working knowledge of calculus and elementary differential equations. Emphasizes simple models such as heat flow, vibrating strings, and membranes; and formulates equations from physical principles; and offers physical interpretations of mathematical results. First published in 1983 and here revised only slightly from the 1987 edition. Annotation c. by Book News, Inc., Portland, Or.