ENGLISH

Lectures on Partial Differential Equations

By Vladimir I. Arnold , Roger Cooke

Book information

Publisher
Springer-Verlag
Year
2004
ISBN
9783540404484, 3-540-40448-1, 5-7036-0035-9
Open Library ID
OL9056958M
Language
english
Format
DJVU
Filesize
2 MB (1769699 bytes)
Series
Universitext
Edition
1
Pages
165\165
Library
Techlib
Time added
2009-11-09 02:42:13

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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