» Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Reviews

Customer Rating:
Summary: Not what I expected
Comment: poorly organized complicated explanation where it can be written in easier way. I would look for something else to learn PDEs

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Customer Rating:
Summary: Intermediate level.
Comment: 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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Customer Rating:
Summary: Shows mathematic viewpoint and then applications
Comment: 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.

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Customer Rating:
Summary: Nice textbook
Comment: 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

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Customer Rating:
Summary: Understandable, Excellent Reference
Comment: 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.

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