ENGLISH

Lectures on Partial Differential Equations

By Vladimir I. Arnold , Roger Cooke

Book information

Publisher
Springer-Verlag
Year
2004
ISBN
9783540404484, 3540404481
Open Library ID
OL9056958M
Language
english
Format
PDF
Filesize
11 MB (11785573 bytes)
Series
Universitext
Edition
1
Pages
165\165
Time added
2010-02-18 13:16:04

Description

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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