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The Resource Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman

Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman

Label
Ordinary differential equations
Title
Ordinary differential equations
Statement of responsibility
[by] V. I. Arnold. Translated and edited by Richard A. Silverman
Creator
Subject
Language
  • eng
  • rus
  • eng
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 abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of one-parameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental concepts--like phase space and phase flows, smooth manifolds and tangent bundles, vector fields and one-parameter groups of diffeomorphisms--that remain in the shadows in the traditional coordinate-based approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Illustrations
illustrations
Index
index present
Literary form
non fiction
http://library.link/vocab/subjectName
  • Differential equations
  • Equations différentielles
  • Équations différentielles
  • Gewone differentiaalvergelijkingen
  • Gewöhnliche Differentialgleichung
Label
Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman
Instantiates
Publication
Note
Translation of Obyknovennye differen︠t︡sialʹnye uravneni︠ia︡
Bibliography note
Bibliography: page [273]
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic concepts -- Basic theorems -- Linear systems -- Proofs of the basic theorems -- Differential equations on manifolds
Control code
624013
Dimensions
23 cm
Extent
viii, 280 pages
Isbn
9780262010375
Lccn
73006846
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(WaOLN)618821
Label
Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman
Publication
Note
Translation of Obyknovennye differen︠t︡sialʹnye uravneni︠ia︡
Bibliography note
Bibliography: page [273]
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic concepts -- Basic theorems -- Linear systems -- Proofs of the basic theorems -- Differential equations on manifolds
Control code
624013
Dimensions
23 cm
Extent
viii, 280 pages
Isbn
9780262010375
Lccn
73006846
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(WaOLN)618821

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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