Tame Geometry with Application in Smooth Analysis

Language: English

Published by Springer Berlin Heidelberg Jan 2004, 2004

3540206124 / 9783540206125

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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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. …

Seller Inventory # 9783540206125

Title
Tame Geometry with Application in Smooth Analysis
Author
Georges Comte
Publisher
Springer Berlin Heidelberg Jan 2004
Publication year
2004
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540206124
ISBN 13
9783540206125
Item weight
312 grams
Dimensions
235x155x12 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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