Minecraft Adventures B2G1 Free
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Original Essays | August 24, 2015

    Ellen Urbani: IMG Like Every Other Survivor



    Note: Join us at Powell's City of Books on Saturday, August 29, for an author event with Ellen Urbani. I have an uncommon penchant for aligning... Continue »
    1. $11.17 Sale Trade Paper add to wish list

      Landfall

      Ellen Urbani 9780988265776

    spacer
Qualifying orders ship free.
$89.99
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
1 Remote Warehouse Mathematics- Geometry and Trigonometry

More copies of this ISBN

This title in other editions

Convex Integration Theory: Solutions to the H-Principle in Geometry and Topology (Modern Birkhauser Classics)

by

Convex Integration Theory: Solutions to the H-Principle in Geometry and Topology (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

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. A second feature of the book is its detailed presentation of applications of the general theory to topics in symplectic topology, divergence free vector fields on 3-manifolds, isometric immersions, totally real embeddings, underdetermined non-linear systems of PDEs, the relaxation theorem in optimal control theory, as well as applications to the traditional immersion-theoretical topics such as immersions, submersions, k-mersions and free maps. 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. ------

Synopsis:

This is a comprehensive study of convex integration theory in immersion-theoretic topology, providing methods for solving the h-principle for a variety of problems in differential geometry and topology, with application to PDE theory and optimal control theory.

About the Author

David Spring is a Professor of mathematics at the Glendon College in Toronto, Canada.

Table of Contents

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 References Index Index of Notation

Product Details

ISBN:
9783034800594
Author:
Spring, David
Publisher:
Birkhauser
Subject:
General Mathematics
Subject:
convex integration
Subject:
Differential geometry
Subject:
hull extensions
Subject:
Mathematics - General
Copyright:
Edition Description:
Reprint of the 1998 Edition
Series:
Modern Birkhäuser Classics
Publication Date:
20101210
Binding:
TRADE PAPER
Language:
English
Pages:
221
Dimensions:
235 x 155 mm 710 gr

Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Health and Self-Help » Health and Medicine » Pharmacology
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Convex Integration Theory: Solutions to the H-Principle in Geometry and Topology (Modern Birkhauser Classics) New Trade Paper
0 stars - 0 reviews
$89.99 In Stock
Product details 221 pages Springer - English 9783034800594 Reviews:
"Synopsis" by , This is a comprehensive study of convex integration theory in immersion-theoretic topology, providing methods for solving the h-principle for a variety of problems in differential geometry and topology, with application to PDE theory and optimal control theory.
spacer
spacer
  • back to top

FOLLOW US ON...

       
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.