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
Resource Information
The item Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased 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
 Language

 eng
 rus
 eng
 Extent
 viii, 280 pages
 Note
 Translation of Obyknovennye differen︠t︡sialʹnye uravneni︠ia︡
 Contents

 Basic concepts
 Basic theorems
 Linear systems
 Proofs of the basic theorems
 Differential equations on manifolds
 Isbn
 9780262010375
 Label
 Ordinary differential equations
 Title
 Ordinary differential equations
 Statement of responsibility
 [by] V. I. Arnold. Translated and edited by Richard A. Silverman
 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 oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased 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
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 19372010
 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
 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
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/OrdinarydifferentialequationsbyV.I./Y0Ugx045VzQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/OrdinarydifferentialequationsbyV.I./Y0Ugx045VzQ/">Ordinary differential equations, [by] V. I. Arnold. Translated and edited by Richard A. Silverman</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>