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Tame Geometry with Application in Smooth Analysis (Lecture Notes in Mathematics) [Paperback]

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Item description for Tame Geometry with Application in Smooth Analysis (Lecture Notes in Mathematics) by Yosef Yomdin...

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.





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Item Specifications...


Pages   186
Est. Packaging Dimensions:   Length: 9.21" Width: 6.14" Height: 0.42"
Weight:   0.63 lbs.
Binding  Softcover
Release Date   Mar 5, 2004
Publisher   Springer
ISBN  3540206124  
ISBN13  9783540206125  


Availability  57 units.
Availability accurate as of Mar 27, 2017 04:47.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
9Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis



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