عنوان

Convex integration theory :

(Number (ISBN

081765805X

(Number (ISBN

3034800592

(Number (ISBN

376435805X

(Number (ISBN

9780817658052

(Number (ISBN

9783034800594

(Number (ISBN

9783764358051

Erroneous ISBN

081765805X

Number

b737222

Title Proper

Convex integration theory :

General Material Designation

[Book]

Other Title Information

solutions to the h-principle in geometry and topology /

First Statement of Responsibility

David Spring.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Birkhäuser Verlag,

Date of Publication, Distribution, etc.

©1998.

Specific Material Designation and Extent of Item

viii, 212 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm.

Series Title

Monographs in mathematics ;

Volume Designation

vol. 92

Text of Note

Includes bibliographical references (pages 207-209) and indexes.

Text of Note

1. Introduction -- 2. Convex Hulls -- 3. Analytic Theory -- 4. Open Ample Relations in Spaces of 1-Jets -- 5. Microfibrations -- 6. The Geometry of Jet spaces -- 7. Convex Hull Extensions -- 8. Ample Relations -- 9. Systems of Partial Differential Equations -- 10. Relaxation Theorem

0

Text of Note

This book provides a comprehensive study of convex integration theory in immersion-theoretic topology. Convex integration theory, developed originally by M. Gromov, provides general topological methods for solving the h-principle for a wide variety of problems in differential geometry and topology, with applications also to PDE theory and to optimal control theory. Though topological in nature, the theory is based on a precise analytical approximation result for higher order derivatives of functions, proved by M. Gromov. This book is the first to present an exacting record and exposition of all of the basic concepts and technical results of convex integration theory in higher order jet spaces, including the theory of iterated convex hull extensions and the theory of relative h-principles. The book should prove useful to graduate students and to researchers in topology, PDE theory and optimal control theory who wish to understand the h-principle and how it can be applied to solve problems in their respective disciplines.

Title

Convex integration theory.

Differential topology.

Differential topology.

Differential topology.

Differentialtopologie

Topologie différentielle.

QA

Number

Edition

Class number

Book number

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System Code

System Code

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System Code

Spring, David,1939-

Date of Transaction

20201203220854.0

Electronic name

[Book]

Y