PDF Download Introduction to Partial Differential Equations with MATLAB, by Jeffery M. Cooper
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Introduction to Partial Differential Equations with MATLAB, by Jeffery M. Cooper
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Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.
- Sales Rank: #1585064 in Books
- Brand: Brand: Birkhäuser
- Published on: 2000-11-01
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.31" w x 6.14" l, 2.04 pounds
- Binding: Hardcover
- 560 pages
- Used Book in Good Condition
Review
"Cooper's book stands out among a host of PDE works. It not only adequately treats traditional core partial differential equation methods but also integrates analytic solutions with numerical schemes through the implementation of MATLAB routines. As an application-oriented book that provides the basic definitions, theorems, and analyses of the solutions, it contains the core topics needed for a sound background in partial differential equations.... One of the book's excellent features is the availability of illustrative and challenging problems, some of which have been cast in the form of MATLAB projects. Such features undoubtedly make this a suitable work for a laboratory component of an introductory PDEs course. Recommended. Undergraduates through faculty." ―Choice
From the Inside Flap
"Cooper's book stands out among a host of PDE works One of the book's excellent features is the availability of illustrative and challenging problems, some of which have been cast in form of Matlab projects. Such features undoubtedly make this a suitable work for a laboratory component of an introductory PDEs course." --Choice
Most helpful customer reviews
1 of 1 people found the following review helpful.
Too Many Errors
By mpiaria
I purchased the Kindle version. The typos are simply intolerable. Learning partial differential equations is difficult. This book makes it unbearable.
41 of 41 people found the following review helpful.
An excellent rough draft of a textbook.
By A Customer
Cooper's book does some things quite well. While most courses on PDE's are reduced to repetitive applications of separation of variables and Fourier series, Cooper offers a new approach. He goes by equation rather than by technique, and introduces nonlinear equations and numerical methods very early. Separation of variables and Fourier series do not come up until Chapter 4. The first chapter, which reviews elements of analysis, is a very good reference. MATLAB is well incorporated throughout the text.
The reason I do not rate this book more highly is that the writing is unbelievably sloppy. There are at least five typos per chapter, usually more. Crucial things, like Green's first identity, are misprinted. There are dozens of typos in the answers in the back, which makes it very hard to check your work.
Judging just by the content, this is a very good book. However, the misprints in the math (to say nothing of those in the text) are so severe that I would not recommend buying it until a better-proofread edition comes out.
11 of 12 people found the following review helpful.
Not bad, but the 2nd edition will hopefully be better
By Kyle Maxwell
This is a fairly challenging text. It's currently being used in my undergrad PDE course, and the flow of material is a bit out of the ordinary. The book starts off with the method of characteristics and weak solutions, which are slightly more sophisticated and unusual topics than some of the later material, making it difficult to get started. The focus on using Matlab is nice, and most things are fairly well-explained. Typographical errors are rampant, however, making it very poor for self-study (you need someone to point out the errors to you).
All in all, not bad -- the second edition will hopefully be much better, and if you have a decent grounding in multivariate calc and ODE's, you'll be OK.
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