Applied Partial Differential Equations (4th Edition) | 
 enlarge | Author: Richard Haberman
Publisher: Prentice Hall
Category: Book
List Price: $124.00
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Avg. Customer Rating:  11 reviews
Sales Rank: 117203
Media: Hardcover
Edition: 4
Number Of Items: 1
Pages: 769
Shipping Weight (lbs): 2.7
Dimensions (in): 9.2 x 7.1 x 1.3
ISBN: 0130652431
Dewey Decimal Number: 515.353
EAN: 9780130652430
ASIN: 0130652431
Publication Date: April 5, 2003
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Product Description
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.
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| Customer Reviews: Read 6 more reviews...
 A decent book for applied PDE's September 28, 2008
I bought this book hoping that it will be useful for my Engg Analysis course. I dropped the course to take something else, but anyway:
The book is easy to follow only if you have an instructor to guide you. My professor said something about this book being more readable. According to him, the other books in the subject were so cryptic, they might as well have been written in Arabic! The book begins with the heat equation, which is of interest to mechanical engineers. There are plenty of unsolved examples, so you will be busy. Brushing up on your undergrad-level calculus/linear algebra will save you much of the pain. Overall, a good book.
 Good intro to PDE August 28, 2008
Says it all. Could use some more example but it's a good introduction to PDE
 Somewhat tedious for those who love math July 21, 2008
4 out of 4 found this review helpful
This book succeeds at making PDEs accessible to a wide audience. As the title applies, it is extremely applied in flavour. Mathematics and mathematical physics students, given the choice, should look elsewhere.
An overarching feature of the book is its mathematical simplicity - very much in the vein of modern introductory calculus texts. This book neglects to introduce any tools of mathematical analyis. As a result, it is accessible to students unfamiliar with analysis. Consequently, most theorems can only be stated, not proven. Now, the theory of Fourier series is advanced and its neglect is understandable. However, this text neglects to define even basic types of convergence (uniform, mean). As a result, Chapter 3, on Fourier series, is basically the presentation of a cookbook set of rules regarding operating on Fourier series. Chapter 5, on Sturm-Liouville theory, becomes a set of statements of the various theorems, with practical applications such as proving the positivity of eigenvalues of the heat equation and "showing" completeness of the eigenfunctions (though this isn't proved, just stated).
Although the authors note their intent to show the connection of PDEs to physics, this book doesn't make a very good "mathematical physics" textbook, for several reasons. Among these is the above-mentioned neglect of discussions of convergence. The book is also neglects discussion of orthogonal polynomials or functions (Bessel and Legendre functions appear in Ch. 7, on higher-dimensional PDEs, but the treatment is cursory and not unified in a general discussion of orthogonal functions). Also, in many cases the book limits itself to real-valued functions, and uses awkward notation for complex conjugation, Hermitian conjugate, etc., in the rare cases these appear. There is negligible discussion of the use of contour integration or conformal mapping in the solution of PDEs - contour integrals are briefly introduced in Chapter 13 in the context of inverting the Laplace transform.
Serious math and physics students will also be irritated by the exposition in this text. A chapter typically begins by considering a PDE, then introducing tools (solution of boundary value problems, Fourier series, orthogonality relationships) in an ad hoc manner. Personally, I found this somewhat irritating: it lacks brevity, elegance, and good organization. However, it does explain how to solve a given problem.
On the other hand, the book does cover an interesting variety of topics, including Green's functions, Laplace transforms, and dispersive waves and nonlinear PDEs. These are of course introductory glances at these subjects.
There is a brief chapter on numerical methods. I didn't look at this carefully, but it seems like a very sketch of how to solve PDEs numerically which would need to be supplemented. A brief section is devoted to the finite element method. The Crank-Nicholson scheme, so important in physics, receives a paragraph.
Ultimately, I would recommend this book for those who need to learn about basic applied PDEs. Those with some background in analysis, or who need a deeper understanding of the subject, should seek a more rigorous and detailed exposition.
Great book for solving applied problems. January 23, 2008
2 out of 2 found this review helpful
I'm an undergraduate mechanical engineering major pursuing a minor in mathematics. I used this book for a two course sequence and I can say that it has been invaluable in my job as a research assistant at my university's computational mechanics research center. It's helped me implement software for computational fluid dynamics and heat transfer. (Note, I didn't design the algorithms, faculty and grad students took care of that, still, it's good to know what you're doing.)
 i dont want part of a differential equation, i want all of it October 25, 2007
0 out of 4 found this review helpful
chapter one is all it took for me. no worked out examples. chapter one explains the thoery and what is happening with the heat equation but the problems at the end of the chapter have answers which the text did not tell you how to get. either way, a partial differential equations class requires lots of studying but i recommend not using this book.
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