Tame geometry with application in smooth analysis

1. Aufl.
Locate

My Reading Lists:

Create a new list



Buy this book

Last edited by ImportBot
April 21, 2025 | History

Tame geometry with application in smooth analysis

1. Aufl.

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.

Publish Date
Publisher
Springer
Language
English
Pages
186

Buy this book

Edition Availability
Cover of: Tame Geometry with Application in Smooth Analysis
Tame Geometry with Application in Smooth Analysis
Mar 12, 2014, Springer
paperback
Cover of: Tame geometry with application in smooth analysis
Tame geometry with application in smooth analysis
2004, Springer
in English - 1. Aufl.
Cover of: Tame Geometry with Application in Smooth Analysis
Tame Geometry with Application in Smooth Analysis
2004, Springer London, Limited
in English

Add another edition?

Book Details


Edition Notes

Includes bibliographical references (p. 173-186).

Published in
Berlin
Series
Lecture notes in mathematics,, v. 1834, Lecture notes in mathematics (Springer-Verlag) ;, 1834.

Classifications

Library of Congress
QA3 .L28 no. 1834, QA564-609

The Physical Object

Pagination
viii, 186 p. :
Number of pages
186

Edition Identifiers

Open Library
OL3319650M
ISBN 10
3540206124
LCCN
2004271184
OCLC/WorldCat
54081452
LibraryThing
8089880

Work Identifiers

Work ID
OL5747821W

Community Reviews (0)

No community reviews have been submitted for this work.

Lists

History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
April 21, 2025 Edited by ImportBot Redacting ocaids
September 27, 2024 Edited by MARC Bot import existing book
January 8, 2023 Edited by MARC Bot import existing book
February 25, 2022 Edited by ImportBot import existing book
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record