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Titlebook: Catastrophe Theory; Vladimir Igorevich Arnold Textbook 19841st edition Springer-Verlag Berlin Heidelberg 1984 Bifurcations.Calc.Catastroph

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发表于 2025-3-21 16:43:03 | 显示全部楼层 |阅读模式
书目名称Catastrophe Theory
编辑Vladimir Igorevich Arnold
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图书封面Titlebook: Catastrophe Theory;  Vladimir Igorevich Arnold Textbook 19841st edition Springer-Verlag Berlin Heidelberg 1984 Bifurcations.Calc.Catastroph
描述Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by­ passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi­ bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the "main intellectual movement of the century" while an article on catastrophe theory in Science was headed "The emperor has no clothes". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con­ troversial results from the mathematical theories of singulari­ ties and bifurcation. The author has tried to explain the essence of the fundamen­ tal results and applications to readers having minimal mathe­ matical background but the reader is assumed to have an in­ quiring mind. Moscow 1981 v. I. Arnold C
出版日期Textbook 19841st edition
关键词Bifurcations; Calc; Catastrophe Theory; Katastrophe; Katastrophentheorie; Mathematica; Microsoft Access; Op
版次1
doihttps://doi.org/10.1007/978-3-642-96799-3
isbn_ebook978-3-642-96799-3
copyrightSpringer-Verlag Berlin Heidelberg 1984
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Textbook 19841st edition icosahedron to the problem of by­ passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi­ bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface
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,Kundenorientierung ist der Schlüssel,, control theory and decision theory. For instance, suppose we have to find . such that the value of a function . (. ) is maximal (Fig. 46). On smooth change of the function the optimum solution changes with a jump, transferring from one competing maxima (A) to the other (B).
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Balsing Rajput,Dhrumi Gada,Amit Kof the Zeeman type one has the more philosophical work of the mathematician René Thorn who first revealed the universality of the Whitney singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe theory’ and has been a great propagandist for the subject.
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https://doi.org/10.1007/978-3-642-96799-3Bifurcations; Calc; Catastrophe Theory; Katastrophe; Katastrophentheorie; Mathematica; Microsoft Access; Op
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