SETS OF FINITE PERIMETER AND GEOMETRIC VARIATIONAL PROBLEMS by Francesco Maggi ( 9781107021037 )

Item Details

Title:

SETS OF FINITE PERIMETER AND GEOMETRIC VARIATIONAL PROBLEMS
AN INTRODUCTION TO GEOMETRIC MEASURE THEORY

By:

Francesco Maggi

Format:

Hardback

List price:

£81.00

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£72.90

Discount:

10% off

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£8.10

ISBN 10:

1107021030

ISBN 13:

9781107021037

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Stock:

Currently 2 available

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

9 August, 2012

Series:

Cambridge Studies in Advanced Mathematics 135

Pages:

476

Description:

An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.

Synopsis:

The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory.

Illustrations:

90 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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