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This book is devoted to applications of singularity theory in mathematics and physics. The authors study bifurcation sets arising in the theory of dynamical systems and the theory of partial differential equations. All four authors are well-known specialists in singularity theory. They include numerous very recent research results as well as open problems and conjectures. The book is written for researchers and graduate students in mathematics and physics who use singularity theory.
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Recensione
V.I. Arnol’d, V.V. Goryunov, O.V. Lyashko, V.A. Vasil’ev, and V.I. Arnol’d (eds.)
Dynamical Systems VIII
"The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures."
―ZENTRALBLATT MATH
Contenuti
Singularity Theory II Classification and Applications.
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Dynamical Systems VIII: Singularity Theory II. Applications (Encyclopaedia of Mathematical Sciences, 39)
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Paperback. Condizione: Very Good. Book shows minimal shelf wear. Pages are clean and intact. Has some minor dirtiness on the outside. There is some slight dirtiness on the textblock/fore edge from handling. Pages are bent in several places. Cover shows minimal creasing. Codice articolo mon0002891241
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Dynamical Systems VIII: Singularity Theory II. Applications (Encyclopaedia of Mathematical Sciences)
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Dynamical Systems VIII
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is devoted to applications of singularity theory in mathematics and physics. The authors study bifurcation sets arising in the theory of dynamical systems and the theory of partial differential equations. All four authors are well-known specialist. Codice articolo 5047148
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Dynamical Systems VIII : Singularity Theory II. Applications
Editore:
Springer Berlin Heidelberg, 2010
ISBN 10: 3642081010
ISBN 13: 9783642081019
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - In the first volume of this survey (Arnol'd et al. (1988), hereafter cited as 'EMS 6') we acquainted the reader with the basic concepts and methods of the theory of singularities of smooth mappings and functions. This theory has numerous applications in mathematics and physics; here we begin describing these applica tions. Nevertheless the present volume is essentially independent of the first one: all of the concepts of singularity theory that we use are introduced in the course of the presentation, and references to EMS 6 are confined to the citation of technical results. Although our main goal is the presentation of analready formulated theory, the readerwill also come upon some comparatively recent results, apparently unknown even to specialists. We pointout some of these results. 2 3 In the consideration of mappings from C into C in3. 6 of Chapter 1, we define the bifurcation diagram of such a mapping, formulate a K(n, 1)-theorem for the complements to the bifurcation diagrams of simple singularities, give the definition of the Mond invariant N in the spirit of 'hunting for invariants', and we draw the reader's attention to a method of constructing the image of a mapping from the corresponding function on a manifold with boundary. In4. 6 of the same chapter we introduce the concept of a versal deformation of a function with a nonisolated singularity in the dass of functions whose critical sets are arbitrary complete intersections of fixed dimension. Codice articolo 9783642081019
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Dynamical Systems VIII
ISBN 10: 3642081010
ISBN 13: 9783642081019
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In the first volume of this survey (Arnol'd et al. (1988), hereafter cited as 'EMS 6') we acquainted the reader with the basic concepts and methods of the theory of singularities of smooth mappings and functions. This theory has numerous applications in mathematics and physics; here we begin describing these applica tions. Nevertheless the present volume is essentially independent of the first one: all of the concepts of singularity theory that we use are introduced in the course of the presentation, and references to EMS 6 are confined to the citation of technical results. Although our main goal is the presentation of analready formulated theory, the readerwill also come upon some comparatively recent results, apparently unknown even to specialists. We pointout some of these results. 2 3 In the consideration of mappings from C into C in 3. 6 of Chapter 1, we define the bifurcation diagram of such a mapping, formulate a K(n, 1)-theorem for the complements to the bifurcation diagrams of simple singularities, give the definition of the Mond invariant N in the spirit of 'hunting for invariants', and we draw the reader's attention to a method of constructing the image of a mapping from the corresponding function on a manifold with boundary. In 4. 6 of the same chapter we introduce the concept of a versal deformation of a function with a nonisolated singularity in the dass of functions whose critical sets are arbitrary complete intersections of fixed dimension.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 248 pp. Englisch. Codice articolo 9783642081019
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Dynamical Systems VIII: Singularity Theory II. Applications (Encyclopaedia of Mathematical Sciences)
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Dynamical Systems VIII
Editore:
Springer Berlin Heidelberg Okt 2010, 2010
ISBN 10: 3642081010
ISBN 13: 9783642081019
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. 'The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures.' --ZENTRALBLATT MATH 248 pp. Englisch. Codice articolo 9783642081019
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Dynamical Systems VIII
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Condizione: New. pp. 248. Codice articolo 262130585
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Dynamical Systems VIII
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Condizione: New. Print on Demand pp. 248 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 5717318
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Dynamical Systems VIII
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Condizione: New. PRINT ON DEMAND pp. 248. Codice articolo 182130579
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