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9780817640972

The Geometry of Domains in Space

by ;
  • ISBN13:

    9780817640972

  • ISBN10:

    0817640975

  • Format: Hardcover
  • Copyright: 1999-01-01
  • Publisher: Birkhauser

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Summary

This comprehensive treatment of domains (in space) emphasizes the growing interaction between analysis and geometry. Geometric analysis, as it is known, is currently an important area of study for both pure and applied mathematicians, physicists, and engineers. Aimed at graduate students of the field, this monograph will be useful in the classroom or as a resource for self-study. The prerequisites are minimal; a good understanding of multivariable calculus and linear algebra will suffice for most purposes.

Table of Contents

Preface
Elementary Topicsp. 1
Domains with Smooth Boundariesp. 27
Measuresp. 57
Sobolev Spacesp. 143
Smooth Mappingsp. 157
Convexityp. 191
Steiner Symmetrizationp. 223
Topics Related to Complex Analysisp. 247
Metrics on the Collection of Subsets of Euclidean Spacep. 275
The Constants Associated to Euclidean Spacep. 281
Guide to Notationp. 287
Bibliographyp. 291
Indexp. 305
Table of Contents provided by Blackwell. All Rights Reserved.

Supplemental Materials

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