Tame Geometry with Application in Smooth Analysis

• Κύριοι συγγραφείς: Yomdin, Yosef (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Comte, Georges (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Έκδοση: 1st ed. 2004.
• Σειρά: Lecture Notes in Mathematics, 1834
• Θέματα: Algebraic geometry.; Measure theory.; Functions of real variables.; Functions of complex variables.; Algebraic Geometry.; Measure and Integration.; Real Functions.; Several Complex Variables and Analytic Spaces.

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 &...

Πίνακας περιεχομένων:

• 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.