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Tame Geometry with Application in Smooth Analysis: 1834 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
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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De la contraportada
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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- EditorialSpringer
- Año de publicación2008
- ISBN 10 3540206124
- ISBN 13 9783540206125
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas200
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Tame geometry with application in smooth analysis. Lecture Notes in Mathematics; 1834.
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Berlin, Springer, 2004
ISBN 10: 3540206124
ISBN 13: 9783540206125
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Librería: Antiquariat Bookfarm, Löbnitz, Alemania
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Softcover. VII, 186 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04657 9783540206125 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2490896
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Tame Geometry With Application in Smooth Analysis
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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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
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 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, 2004
ISBN 10: 3540206124
ISBN 13: 9783540206125
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Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783540206125
Cantidad disponible: 1 disponibles
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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. Condición: 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. Nº de ref. del artículo: 4884744
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Tame Geometry with Application in Smooth Analysis
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PF. Condición: New. Nº de ref. del artículo: 6666-IUK-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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