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Rating: Summary: Don't buy it! Review: Before you even think about opening this book, be sure that you know your Forurier series. The book uses that to solve most of the problems. Also, it is really not for those new to PDE. May be a good text for graduate students, but will confise the non-specialist. Not a good introductory text.
Rating: Summary: Ehh Review: Doesn't correspond well to courses in PDEs if that's what you are looking for. Half the book is on numerical methods. I don't use it.
Rating: Summary: Ehh Review: Doesn't correspond well to courses in PDEs if that's what you are looking for. Half the book is on numerical methods. I don't use it.
Rating: Summary: Duchateau a poor teacher Review: I have not read this book, but if it is anything like the author's previous attempts at writing it will leave you feeling angry. I read his advanced calculus book and it was awful. I found 16 mistakes on one page! This was the first book on advanced calculus I read and I was unable to follow the logic sequence. It wasn't until later after reading other books and mastering the subject that I discovered why. The examples were full of major errors. Not only that but he wastes a great deal of space repeating assumptions before each new section. As a result the actual material covered is sparse.
Rating: Summary: Duchateau a poor teacher Review: I have not read this book, but if it is anything like the author's previous attempts at writing it will leave you feeling angry. I read his advanced calculus book and it was awful. I found 16 mistakes on one page! This was the first book on advanced calculus I read and I was unable to follow the logic sequence. It wasn't until later after reading other books and mastering the subject that I discovered why. The examples were full of major errors. Not only that but he wastes a great deal of space repeating assumptions before each new section. As a result the actual material covered is sparse.
Rating: Summary: Some good proofs with some outdated material Review: The reader should note that this book should be used only in an intermediate or in an advanced Partial Differential Equations course. This is not for the beginning student! That being said, there are some fine proofs in this text, but there is much useless numerical solutions of PDEs material using old computer languages that I did not find interesting. This book could use revision, but then again most other advanced PDE texts on the market are even worse! This book did help somewhat, but not as much as it could have.
Rating: Summary: Useful numerical methods Review: The theory is dry, but you can find some useful discussion on numerical methods and program listings.
Rating: Summary: Some good proofs with some outdated material Review: This book in the Outline series is a bad one.Too much terminology and very little explanation.Besides the book lacks flow unlike others in the Oultine series.PDEs are best explained taking physical examples such as heat flow & vibrations before branching off into rigorours math. In fact, the history (Fourier's Law, Laplace Eqn.) of PDEs is clearly intertwined with phyical phenomena such as heat flow etc. The book just brushes the surface in these areas. As consequence it makes to difficult for the average student to follow and make the connection. I would suggest Elementary Applied Partial Differential Equations With Fourier Series and Boundary Value Problems (3rd Edition)by Richard Haberman. Although the book doesn't have too many examples, it is extremly useful in understanding PDEs.
Rating: Summary: Almost Useless! Review: This is a good book to help clarify some of the methods you study in class. I don't think I would use this book on its own. Some of the topics covered in this book are qualitative behavior of solutions to elliptic and evolution equations, first-order equations, eigenfunction expansions and integral transforms (theories and applications), Green's functions, difference methods for equations (parabolic, hyperbolic, and elliptic), variational formulation of boundary value problems, variational approximation methods, and finite element method.There are examples that show you how to work a problem, and there are exercises to test your knowledge. Most of the answers are there. This is a helpful supplement, and I would recommend it.
Rating: Summary: It is a very good book Review: This is a very good introduction to partial differential equations.It contains the most common methods in PDE namely: characteristics method, Fourier method, Green method, finite difference methods, variational methods and finite element method. I have used it as a textbook or suplementary text. It is really an undergraduate text which provides a wide introduction to PDE. I have a copy and recommend it to every person interested in learning PDE.
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