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Introduction to Partial Differential Equations with Applications | 
 enlarge | Authors: E. C. Zachmanoglou, Dale W. Thoe
Publisher: Dover Publications
Category: Book
List Price: $15.95
Buy New: $7.98
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Rating:  5 reviews
Sales Rank: 167088
Media: Paperback
Pages: 416
Number Of Items: 1
Shipping Weight (lbs): 1
Dimensions (in): 8.4 x 5.4 x 0.8
ISBN: 0486652513
Dewey Decimal Number: 515.353
EAN: 9780486652511
Publication Date: February 1, 1987
Availability: Usually ships in 1-2 business days
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Condition: May have small mark or shelf wear / Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy.
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Product Description
This introductory text explores the essentials of partial differential equations applied to common problems in engineering and the physical sciences. It reviews calculus and ordinary differential equations, explores integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory and more. Includes problems and answers.
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| Customer Reviews:
 Shows mathematic viewpoint and then applications April 20, 2006
calvinnme (Fredericksburg, Va)
21 out of 21 found this review helpful
This book is a good book from the mathematical point of view and a good overview of the overall mathematical framework. For example, looking at a PDE, what can one say about the solution? Does it exist? Is it unique? What properties does the solution have? The book's emphasis is on presenting the various types of PDE's and then using physics to illustrate its usefulness. For example, the section of the book on quasi-linear and linear equations of the first order first looks at all of the mathematical underpinnings of this kind of equation. Only afterwards does the book look at the applications of such PDEs for solving problems in traffic flow and gas dynamics. In contrast "Partial Differential Equations for Scientists and Engineers" by Farlow assumes you have a specific physics problem you are attempting to solve and then goes about showing you how PDE can help.
Thus, my advice for someone who wants to study PDE and learn the practical applications is that they should first read and study this book for the theory and some of the applications. Then, buy and read Farlow's book. See if you can determine how to solve each physics problem presented in that book with PDEs. If you can, you are on your way to saying you know Partial Differential Equations from both a theoretical and practical standpoint.
Understandable, Excellent Reference September 30, 2005
Euler, Jr (Duke University)
13 out of 14 found this review helpful
From just basic usage of the book, and with almost no introduction to PDEs, I found the book to be very helpful. This book starts out the way any PDE book should, a review of ODEs and then a careful, systematic approach to PDEs with very helpful illustrations. After the PDE is introduced, many different examples of PDE application are shown (such as the heat equation, Laplace's equation, and the wave equation), and with very careful demonstration of the use of the PDEs. I would have to say that any math or physics (especially in mechanics) person would benefit greatly to have either read or own this book.
Excellent introduction to PDEs January 26, 2000
Daniel J. Bodony (Mountain View, CA)
43 out of 43 found this review helpful
Thoe & Zachmanoglou have written an easy-to-follow introductory book on PDEs with heavy emphasis on physical interpretations. The book begins with a brief study of quasi-linear PDEs and their geometrical properties followed by a series of chapters concentrating on elliptic, hyperbolic, and parabolic linear PDEs. The discussion of each type of PDE includes well-posedness, uniqueness, and basic solution methods. Proofs are generally simplified to keep the reader focused on the PDEs.I recommend this book for those wishing to gain a more complete knowledge of PDEs without technical proofs. For those wanting a more rigorous discussion, Thoe & Zachmanoglou provides an excellent starting point.
Nice textbook February 25, 2006
Hari Sundararajan (baton Rouge, LA, USA)
2 out of 5 found this review helpful
I am a sophomore student in computer engineering, and my professor used this book as a supplement to his notes (http://www.aei.mpg.de/~horst/math4999-2pdf.pdf) while doing a course on introductory differential equations, and it came in quite handy
 Intermediate level. May 23, 2008
Hamiltonian (Indiana)
1 out of 1 found this review helpful
I use it as a reference for a Boundary Value Problems course at the college level. Not a beginner level text, you need a background in DEs and linear algebra.
Inexpensive and a classic.
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