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Partial Differential Equations (Graduate Studies in Mathematics, 19)

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Title: Partial Differential Equations (Graduate Studies in Mathematics, 19)
by Lawrence C. Evans
ISBN: 0-8218-0772-2
Publisher: American Mathematical Society
Pub. Date: 01 June, 1998
Format: Hardcover
Volumes: 1
List Price(USD): $75.00
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Average Customer Rating: 4.25 (4 reviews)

Customer Reviews

Rating: 4
Summary: Dense, but quite good
Comment: This book is a mathematician's book and not an engineer's--it hasn't a bit of material on approximating solutions of PDEs (which subject could fill several volumes by itself), and devotes a great deal of space to proving existence, regularity, and other properties of solutions to non-linear PDEs. The exposition is extremely compressed (many moderately difficult proofs are reduced to a paragraph or two).

It is also very much a graduate course (as the title indicates). Undergraduate students are advised to stay away unless they have excellent teachers, or are very good, or both.

Rating: 3
Summary: difficult
Comment: As a graduate student in engineering, I found this book to be somewhat difficult to understand. That in itself isn't a major problem, but I have just found other books which present the material in a much clearer fashion. Part of the problem is Evans' fascination with non-linear equations to the point of muddling even simple formulations.

Rating: 5
Summary: This will become the standard text in PDE
Comment: This is a very well written textbook for graduate-level students as well as an excellent reference for researchers. The outlook of the author, a leader in his field, is non-linear and very broad and includes maechanics and geometry. Any department library needs this book.

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