An Introduction to Nonlinear Partial Differential Equations (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) | 
 enlarge | Author: J. David Logan
Publisher: Wiley-Interscience
Category: Book
List Price: $99.95
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Rating:  1 reviews
Sales Rank: 831479
Media: Hardcover
Edition: 2
Pages: 398
Number Of Items: 1
Shipping Weight (lbs): 1.6
Dimensions (in): 9.3 x 6.2 x 1
ISBN: 0470225955
Dewey Decimal Number: 515.353
EAN: 9780470225950
Publication Date: April 11, 2008
Availability: Usually ships in 1-2 business days
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Product Description
Now in a second edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, this one takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems.
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| Customer Reviews:
Nonlinear PDE's May 25, 2001
Leonie Zandra Pipe (Auckland New Zealand)
9 out of 9 found this review helpful
There seem to be few textbooks on this particular subject accessible to students; most deal with linear PDE's, so the book fills a gap. 'Nonlinear Partial Differential Equations' assumes the reader is already familiar with differential equations,so is not suitable as an introduction to the subject. It is written at an advanced level, but concepts are very clearly spelled out. Logan takes the reader through all the necessary mathematical steps in explaining a new concept. He does not skip steps in his analysis. Chapter One introduces canonical equations and transformations, but Logan's treatment is very sparse and there are better texts available for these subjects. Logan's book concentrates mostly on how PDE's can be reduced to ordinary differential equations via similarity methods etc. Most standard types of nonlinear systems are dealt with, including reaction diffusion processes, chemically reacting fluids and shock wave development. I like this book and that's why I bought it from Amazon, but be careful, there are one or two typing errors in the maths.
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