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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (Cambridge Studies in Advanced Mathematics, Series Number 135) - Hardcover
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.
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Book Description
This engaging graduate-level introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. Explanatory pictures, detailed proofs, exercises and helpful remarks make it suitable for self-study and also a useful reference for researchers.
About the Author
Francesco Maggi is a Professor of Mathematics at the University of Texas, Austin, USA.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2012
- ISBN 10 1107021030
- ISBN 13 9781107021037
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages476
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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (Cambridge Studies in Advanced Mathematics, Series Number 135)
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Cambridge University Press, 2012
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Sets of Finite Perimeter and Geometric Variational Problems : An Introduction to Geometric Measure Theory
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ISBN 13: 9781107021037
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Sets of Finite Perimeter and Geometric Variational Problems : An Introduction to Geometric Measure Theory
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ISBN 13: 9781107021037
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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (Cambridge Studies in Advanced Mathematics, Series Number 135)
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ISBN 10: 1107021030
ISBN 13: 9781107021037
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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (Cambridge Studies in Advanced Mathematics, Series Number 135)
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ISBN 13: 9781107021037
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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (Cambridge Studies in Advanced Mathematics, Series Number 135)
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ISBN 13: 9781107021037
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Hardcover. Condition: new. Hardcover. 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. This engaging graduate-level introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. Explanatory pictures, detailed proofs, exercises and helpful remarks make it suitable for self-study and also a useful reference for researchers. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107021037
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Sets of Finite Perimeter and Geometric Variational Problems : An Introduction to Geometric Measure Theory
Published by
Cambridge University Press, 2012
ISBN 10: 1107021030
ISBN 13: 9781107021037
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