Applications of Green’s Functions in Science and Engineering (Dover Books on Engineering) by Michael D. Greenberg (PDF)

Description

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.

User’s Reviews

Editorial Reviews: From the Back Cover 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.See every Dover book in print atwww.doverpublications.com About the Author Michael D. Greenberg is Professor Emeritus in the Department of Mechanical and Aerospace Engineering at the University of Delaware. His other Dover book is Foundations of Applied Mathematics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐If ever there was a need for Dover to reprint a book that time forgot it is this one. This is far and away themost elementary and well-written treatment of Green’s functions I have yet come across. The book is short/concise butempowers the reader to tackle other more advanced works or to actually use Green’s Functions to solveODE/PDE’s. What more can you ever ask for out of a textbook ?If you can find a used copy of this hard to find classic jump on it.

⭐A mathematicians delight. Previously studied “Green’s Theorem” alongside “Stoke’s Theorem” and finally found the connection.

⭐Fantastic reference book. Walks through equations in a logical manner, gives the basic foundations on which to understand Green’s functions and is not a giant textbook. Nice reference for your desk or desk adjacent bookshelf.

⭐Quite good. Regret not finding it sooner, but even Dover has limits on what it may publish.

⭐this book is full of useful information

⭐This is the best book for beginer in Green’s function mehtod.

⭐This book is wonderful. I came across it in the Binghamton University library. It is short, perhaps 120 pages or so, and very accessible. Absolutley perfect…I just wish there were answers to selected exercises.

⭐Not a very accessible text for persons without a strong mathematical theory background. Some examples need to be improved and there appears to be little flow to the organization of the text.

⭐Ideal para alumnos de pregrado que busquen aprender a utilizar esté método de solución de ecuaciones diferenciales sin entrar en demasiados detalles de la teoría de ecuaciones diferenciales.

⭐

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