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Ordinary differential equations

Author: V I Arnolʹd
Publisher: [Cambridge], [MIT Press], [1973]
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical  Read more...
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Document Type: Book
All Authors / Contributors: V I Arnolʹd
ISBN: 0262010372 9780262010375 0262510189 9780262510189
OCLC Number: 624013
Notes: Translation of Obyknovennye different︠s︡ialʹnye uravnenii︠a︡.
Description: viii, 280 pages : illustrations ; 23 cm
Contents: Basic concepts --
Basic theorems --
Linear systems --
Proofs of the basic theorems --
Differential equations on manifolds.
Other Titles: Obyknovennye different︠s︡ialʹnye uravnenii︠a︡.
Responsibility: V.I. Arnold ; translated and edited by Richard A. Silverman.

Abstract:

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather  Read more...

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A fresh modern approach to the geometric qualitative theory of ordinary differential equations...suitable for advanced undergraduates and some graduate students. The notions of vector field, phase Read more...

 
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