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To get the free app, enter your mobile phone number. 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 republication of the edition published by Prentice-Hall, Inc. See every Dover book in print at www. His other Dover book is Foundations of Applied Mathematics. I'd like to read this book on Kindle Don't have a Kindle? Women's History Month Celebrate women who defy definition. Hear their stories Customer reviews 4.
Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. It also analyzes reviews to verify trustworthiness. Top reviews Most recent Top reviews Top reviews from the United States There was a problem filtering reviews right now. Please try again later. Alan Andrews 5.
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. Read more 2 people found this helpful Helpful Report abuse sp 5. This is far and away the most elementary and well-written treatment of Green's functions I have yet come across. 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.
Read more 12 people found this helpful Helpful Report abuse john whitney 5. Read more Helpful Report abuse Lou 4. Previously studied "Green's Theorem" alongside "Stoke's Theorem" and finally found the connection. Read more 3 people found this helpful Helpful Report abuse Bruce W. Fowler 4. Regret not finding it sooner, but even Dover has limits on what it may publish.
Reviewed in the United States on May 3, This book is wonderful. I came across it in the Binghamton University library. It is short, perhaps pages or so, and very accessible. Absolutley perfect I just wish there were answers to selected exercises. Read more 5 people found this helpful Helpful Report abuse See all reviews Top reviews from other countries Translate all reviews to English Jonathan Anderson 3.
Reviewed in Canada on May 19, Verified Purchase 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. Read more One person found this helpful Report abuse Esteban 5. Read more Report abuse Translate review to English See all reviews What other items do customers buy after viewing this item?
See and discover other items: differential calculus , differential equation , differential equations , green function There's a problem loading this menu right now. Read more Read less. Previous page. Print length. Dover Publications. Publication date. August 19, See all details. Next page.
Kindle Cloud Reader Read instantly in your browser. Frequently bought together. Add all three to Cart Add all three to List. One of these items ships sooner than the other. Show details. Ships from and sold by Amazon. Customers who viewed this item also viewed. Page 1 of 1 Start over Page 1 of 1. Foundations of Applied Mathematics. Michael D. Introduction to Electrodynamics. David J. Green's Functions. Riemann's Zeta Function. Harold M. Hans Sagan. Customers who bought this item also bought.
Dean G. Stanley J. Jakob Schwichtenberg. Frank Bowman. Register a free business account. 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.
Tell the Publisher! Women's History Month. Celebrate women who defy definition. Hear their stories. Customer reviews. How are ratings calculated? Top reviews Most recent Top reviews. Top reviews from the United States. There was a problem filtering reviews right now. Verified Purchase. Fantastic reference book. If ever there was a need for Dover to reprint a book that time forgot it is this one. This is the best book for beginer in Green's function mehtod. A mathematicians delight.
Quite good. One person found this helpful. This book is wonderful. See all reviews. Top reviews from other countries. Translate all reviews to English. Not a very accessible text for persons without a strong mathematical theory background. Report abuse Translate review to English.
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Greenberg, Advanced Engineering Mathematics, 2nd Edition. Applications of Green s functions in science and engineering Greenberg , M. 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. Advanced Engineering Mathematics is a compendium of many mathematical topics, all of which are loosely related by the expedient of either being needed or useful in courses and subsequent careers in science and engineering. Consequently, this book represents the most accurate list of what constitutes engineering mathematics. 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.
In mathematics , a Green's function is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions. Green's functions are named after the British mathematician George Green , who first developed the concept in the s. In the modern study of linear partial differential equations , Green's functions are studied largely from the point of view of fundamental solutions instead. Under many-body theory , the term is also used in physics , specifically in quantum field theory , aerodynamics , aeroacoustics , electrodynamics , seismology and statistical field theory , to refer to various types of correlation functions , even those that do not fit the mathematical definition. In quantum field theory, Green's functions take the roles of propagators. This property of a Green's function can be exploited to solve differential equations of the form. If the kernel of L is non-trivial, then the Green's function is not unique.
The two-part treatment begins with an overview of applications to ordinary differential equations. Topics include the adjoint operator, delta function, the Green's.
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. Michael D. The author provides some history of the subject, just enough to satisfy curiosity and not to overwhelm. One feature that is particularly interesting is the explanation of the delta function, which leads very nicely to generalized functions.
Generally speaking, a Green's function is an integral kernel that can be used to solve differential equations from a large number of families including simpler examples such as ordinary differential equations with initial or boundary value conditions , as well as more difficult examples such as inhomogeneous partial differential equations PDE with boundary conditions. Important for a number of reasons, Green's functions allow for visual interpretations of the actions associated to a source of force or to a charge concentrated at a point Qin , thus making them particularly useful in areas of applied mathematics. In particular, Green's function methods are widely used in, e. More precisely, given a linear differential operator acting on the collection of distributions over a subset of some Euclidean space , a Green's function at the point corresponding to is any solution of.
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