The Resource Catastrophe theory, V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas

Catastrophe theory, V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas

Label
Catastrophe theory
Title
Catastrophe theory
Statement of responsibility
V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas
Creator
Subject
Genre
Language
  • eng
  • rus
  • eng
Summary
"This short book, which is a translation from the original Russian, provides a concise, non-mathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams. ... This is a short, critical and non-mathematical review of catastrophe theory which will provide a useful introduction to the subject."--Physics Bulletin
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Illustrations
illustrations
Index
no index present
Language note
Translation of: Teorii︠︡ katastrof
LC call number
QA614.58
LC item number
.A7613 1986
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Catastrophes (Mathematics)
  • Catastrophes, Théorie des
  • Catastrophes, Théorie des
  • Catastrophes (Mathematics)
  • Catastrofetheorie (wiskunde)
  • Katastrophentheorie
  • Teoria Das Catastrofes
  • Katastrophentheorie
Label
Catastrophe theory, V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas
Instantiates
Publication
Note
Translation of: Teorii͡a katastrof
Bibliography note
Bibliography: p. 95-108
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Singularities, bifurcations, and catastrophes -- Whitney's singularity theory -- Applications of Whitney's theory -- A catastrophe machine -- Bifurcations of equilibrium states -- Loss of stability of equilibrium and of self-oscillating modes of behaviour -- Singularities of the stability boundary and the principle of the fragility of good things -- Caustics, wave fronts, and their metamorphoses -- The large-scale distribution of matter in the universe -- Singularities in optimization problems: the maximum functions -- Singularities of the boundary of attainability -- Smooth surfaces and their projections -- The problem of bypassing an obstacle -- Symplectic and contact geometry -- Complex singularities -- The mysticism of catastrophe theory
Dimensions
21 cm
Edition
2nd rev. and expanded ed.
Extent
ix, 108 pages
Isbn
9783540128595
Lccn
85031736
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)13095989
Label
Catastrophe theory, V.I. Arnold ; translated from the Russian by G.S. Wassermann based on a translation by R.K. Thomas
Publication
Note
Translation of: Teorii͡a katastrof
Bibliography note
Bibliography: p. 95-108
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Singularities, bifurcations, and catastrophes -- Whitney's singularity theory -- Applications of Whitney's theory -- A catastrophe machine -- Bifurcations of equilibrium states -- Loss of stability of equilibrium and of self-oscillating modes of behaviour -- Singularities of the stability boundary and the principle of the fragility of good things -- Caustics, wave fronts, and their metamorphoses -- The large-scale distribution of matter in the universe -- Singularities in optimization problems: the maximum functions -- Singularities of the boundary of attainability -- Smooth surfaces and their projections -- The problem of bypassing an obstacle -- Symplectic and contact geometry -- Complex singularities -- The mysticism of catastrophe theory
Dimensions
21 cm
Edition
2nd rev. and expanded ed.
Extent
ix, 108 pages
Isbn
9783540128595
Lccn
85031736
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)13095989

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