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Geometric Measure Theory: A Beginner's Guide - Hardcover

 
9780123744449: Geometric Measure Theory: A Beginner's Guide

Synopsis

Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.

This updated edition contains abundant illustrations, examples, exercises, and solutions; and the latest results on soap bubble clusters, including a new chapter on Double Bubbles in Spheres, Gauss Space, and Tori. It also includes a new chapter on Manifolds with Density and Perelman's Proof of the Poincaré Conjecture.

This text is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight into many aspects of the subject.



New to the 4th edition:
* Abundant illustrations, examples, exercises, and solutions.
* The latest results on soap bubble clusters,
including a new chapter on "Double Bubbles in
Spheres, Gauss Space, and Tori."
* A new chapter on "Manifolds with Density and
Perelman's Proof of the Poincaré Conjecture."
* Contributions by undergraduates.

"synopsis" may belong to another edition of this title.

Review

Brevity, clarity and scope make this classic text excellent for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.

Synopsis

Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. "Measure Theory: A Beginner's Guide" is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight into many aspects of the subject. New to the 4th edition are as mentioned below. It features: abundant illustrations, examples, exercises, and solutions; the latest results on soap bubble clusters, including a new chapter on 'Double Bubbles in Spheres, Gauss Space, and Tori'; a new chapter on 'Manifolds with Density and Perelman's Proof of the Poincare Conjecture'; and, contributions by undergraduates.

"About this title" may belong to another edition of this title.

  • PublisherAcademic Press
  • Publication date2008
  • ISBN 10 012374444X
  • ISBN 13 9780123744449
  • BindingHardcover
  • LanguageEnglish
  • Edition number4
  • Number of pages264

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9780323281225: Geometric Measure Theory: A Beginner's Guide, Fourth Edition

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ISBN 10:  0323281222 ISBN 13:  9780323281225
Publisher: Academic Press, 2014
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ISBN 10: 012374444X ISBN 13: 9780123744449
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Morgan, Frank
Published by Academic Press, Ny, 2008
ISBN 10: 012374444X ISBN 13: 9780123744449
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