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Applications of Green's functions in science and engineering

Author: Michael D Greenberg
Publisher: Mineola, New York : Dover Publications, Inc., 2015.
Series: Dover books on engineering.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Greenberg, Michael D.
Applications of Green's Functions in Science and Engineering.
Newburyport : Dover Publications, ©2015
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael D Greenberg
ISBN: 9780486805849 0486805840
OCLC Number: 946724447
Notes: Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1971.
Description: 1 online resource (x, 143 pages) : illustrations.
Contents: Application to ordinary differential equations --
Introduction --
The adjoint operator --
The delta function --
The Green's function method --
The Eigenfunction method --
Summary --
Application to partial differential equations --
Introduction --
The adjoint operator --
The delta function --
The Green's function method --
Principal solutions --
Green's function method for the laplace operator --
Green's function method for the Helmholtz operator--
Green's function method for the wave operator --
The Eigenfunction method --
Additional examples --
Summary.
Series Title: Dover books on engineering.
Responsibility: Michael D. Greenberg.

Abstract:

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, a new preface, and a new brief errata list round out the text.

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