Applied Partial Differential Equations
A vibrant field of study, partial differential equations arise in mathematical models whose dependent variables change continuously as functions of several independent variables (often space and time). Their power lies in their universality: there is a huge and ever-growing range of real-world problems to which they can be applied, from fluid mechanics and electromagnetism to probability and finance. This book is a lively and well-written guide to both the theory and applications of PDEs. It examines such questions as the well-posedness of a PDE problem and the conditions under which solutions change little with small changes in input. It also examines the problem of establishing the accuracy of a numerical solution to a PDE, an increasingly important question given the power of new numerical methods and software.
Format:Paperback
Language:English
ISBN:0198532431
ISBN13:9780198532439
Release Date:September 1999
Publisher:Oxford University Press, USA
Length:440 Pages
Weight:1.32 lbs.
Dimensions:0.9" x 6.0" x 9.1"
Customer Reviews
1 rating
Excellent
Published by Thriftbooks.com User , 19 years ago
This is probably the very best upper undergrad/graduate level textbook on applied partial differential equations. The book is written by leading academics with extensive experience in applied mathematics and industrial engineering problems, who worked and taught the subject for decades. What I particularly like about it is that gives not only the technical details, but also a very broad overview of the subject. The first 6 chapters, which constitute a self contained upper level course, start (very naturally) with quasi linear first order PDE's, then systems of first order PDE's, and from that move to the classification of linear 2nd order PDE's, then to the canonical topics of hyperbolic, elliptic and parabolic equations (in that order). Following that, 3 more chapters cover a number of more advanced topics: free boundary conditions, non quasi linear equations, and miscellaneous topics. The book is written by applied mathematicians for applied mathematics students. It hardly contains any functional analysis or distribution theory, but emphasizes effective methods for approaching practical problems. However, the book is NOT light reading, but is meant for serious students at serious universities.
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