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Synopsis
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an "explanation" of the quantitative Morse-Sard theorem and related results, beginning with the study of polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive. The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are "stable with respect to approximation", and can be imposed on smooth functions via polynomial approximation.
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Tame Geometry with Application in Smooth Analysis
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Springer Berlin Heidelberg, 2004
ISBN 10 : 3540206124
ISBN 13 : 9783540206125
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically q. N° de réf. du vendeur 4884744
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Tame Geometry With Application in Smooth Analysis
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ISBN 10 : 3540206124
ISBN 13 : 9783540206125
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Tame Geometry with Application in Smooth Analysis
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Springer Berlin Heidelberg, 2004
ISBN 10 : 3540206124
ISBN 13 : 9783540206125
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The Morse-Sard theorem is a rather subtleresult and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proofand also an 'explanation' of the quantitative Morse-Sard theorem and related results, beginning with the studyof polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive.The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are 'stable with respect to approximation', and can be imposed on smooth functions via polynomial approximation. N° de réf. du vendeur 9783540206125
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Tame Geometry with Application in Smooth Analysis (Lecture Notes in Mathematics, 1834)
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Tame Geometry with Application in Smooth Analysis
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Springer Berlin Heidelberg Jan 2004, 2004
ISBN 10 : 3540206124
ISBN 13 : 9783540206125
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The Morse-Sard theorem is a rather subtleresult and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proofand also an 'explanation' of the quantitative Morse-Sard theorem and related results, beginning with the studyof polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive.The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are 'stable with respect to approximation', and can be imposed on smooth functions via polynomial approximation. 200 pp. Englisch. N° de réf. du vendeur 9783540206125
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Tame Geometry with Application in Smooth Analysis
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Tame Geometry with Application in Smooth Analysis
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Jan 2004, 2004
ISBN 10 : 3540206124
ISBN 13 : 9783540206125
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. Neuware -The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an 'explanation' of the quantitative Morse-Sard theorem and related results, beginning with the study of polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive. The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are 'stable with respect to approximation', and can be imposed on smooth functions via polynomial approximation.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 200 pp. Englisch. N° de réf. du vendeur 9783540206125
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Tame Geometry With Application in Smooth Analysis
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Tame Geometry with Application in Smooth Analysis (Lecture Notes in Mathematics, 1834)
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Tame Geometry With Application in Smooth Analysis
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