Item description for Lectures on Partial Differential Equations (Universitext) by V. I. Arnold & Roger Cooke...
Choice Outstanding Title! (January 2006)
Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!
What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
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Est. Packaging Dimensions: Length: 0.5" Width: 6" Height: 9" Weight: 0.6 lbs.
Release Date Jan 22, 2004
ISBN 3540404481 ISBN13 9783540404484
Reviews - What do customers think about Lectures on Partial Differential Equations (Universitext)?
Lectures on PDEs Mar 2, 2008
Arnold's geometric point of view of differential equations is really intriguing. These lectures treat the subject of PDEs by considering specific examples and studying them thoroughly. By this approach the author aims at presenting fundamental ideas in a clear way. However, the interetested reader should be acquainted with some geometric ideas of differential equations.
buy it Sep 23, 2006
OK, I did not read the book, just browsed through the pages. My first impression is that this is an excellent book, like most of Arnold's books. It is not trying to cover the theory of Partial Differential Equations, and this cannot be done in a single book anyway - just selected topics on a very accessible level. The geometric insight is excellent and even a specialist can benefit from that. I highly recommend this book to undergraduates (and higher) that are passionate about analysis.
I will update my review after I actually buy the book, I understand that I am not very helpful at the moment.
Update: I read parts of the book and I still like it a lot. I however found to be aimed at more advanced readers. It is an excellent book to complement any of the standard PDE texts.