Applications of Green's Functions in Science and Engineering by Michael Greenberg

Applications of Green's Functions in Science and Engineering by Michael Greenberg

Concise and highly regarded, this treatment of Green's functions and their applications in science and engineering is geared toward undergraduate and graduate students with only a moderate background in ordinary differential equations and partial differential equations. The text also includes a wealth of information of a more general nature on boundary value problems, generalized functions, eigenfunction expansions, partial differential equations, and acoustics.
The two-part treatment begins with an overview of applications to ordinary differential equations. Topics include the adjoint operator, delta function, the Green's function method, and the eigenfunction method. The second part, which explores applications to partial differential equations, covers functions for the Laplace, Helmholtz, diffusion, and wave operators. A full index, exercises, suggested reading list, and a new brief errata list round out the text.
Dover (2015) republication of the edition published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1971.
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Professor Emeritus of Mechanical Engineering at the University of Delaware, where he teaches engineering mathematics and is a three-time recipient of the University of Delaware Excellence in Teaching Award, MICHAEL D.GREENBERG, PhD, is a three-time recipient of the University of Delaware Excellence in Teaching Award. Greenberg's research in aerodynamics and hydrodynamics has focused on vortex methods.