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Tame Geometry with Application in Smooth Analysis by Yosef Yomdin (English) Pape
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Located in: Fairfield, Ohio, United States
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eBay item number:364690368922
Item specifics
- Condition
- ISBN-13
- 9783540206125
- Book Title
- Tame Geometry with Application in Smooth Analysis
- ISBN
- 9783540206125
- Subject Area
- Mathematics
- Publication Name
- Tame Geometry with Application in Smooth Analysis
- Item Length
- 9.3 in
- Publisher
- Springer Berlin / Heidelberg
- Subject
- Geometry / General, Geometry / Algebraic, Mathematical Analysis
- Publication Year
- 2004
- Series
- Lecture Notes in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 22.6 Oz
- Number of Pages
- Cc, 190 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540206124
ISBN-13
9783540206125
eBay Product ID (ePID)
30531269
Product Key Features
Publication Name
Tame Geometry with Application in Smooth Analysis
Format
Trade Paperback
Language
English
Subject
Geometry / General, Geometry / Algebraic, Mathematical Analysis
Publication Year
2004
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
Cc, 190 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
22.6 Oz
Additional Product Features
LCCN
2004-271184
Intended Audience
Scholarly & Professional
Series Volume Number
1834
Number of Volumes
1 Vol.
Lc Classification Number
Qa564-609
Table of Content
Preface.- Introduction and Content.- Entropy.- Multidimensional Variations.- Semialgebraic and Tame Sets.- Some Exterior Algebra.- Behavior of Variations under Polynomial Mappings.- Quantitative Transversality and Cuspidal Values for Polynomial Mappings.- Mappings of Finite Smoothness.- Some Applications and Related Topics.- Glossary.- References.
Copyright Date
2004
Dewey Decimal
516.3
Dewey Edition
22
Illustrated
Yes
Item description from the seller
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