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Sets of Finite Perimeter and Geometric Variational Problems Maggi 9781107021037
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eBay item number:225416235851
Item specifics
- Condition
- Level
- Advanced
- Subject
- Geometry / Analytic, Algebra / Abstract
- ISBN
- 9781107021037
- Subject Area
- Mathematics
- Publication Name
- Sets of Finite Perimeter and Geometric Variational Problems : An Introduction to Geometric Measure Theory
- Publisher
- Cambridge University Press
- Item Length
- 9 in
- Publication Year
- 2012
- Series
- Cambridge Studies in Advanced Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.1 in
- Item Weight
- 27.9 Oz
- Item Width
- 6.3 in
- Number of Pages
- 476 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1107021030
ISBN-13
9781107021037
eBay Product ID (ePID)
117328560
Product Key Features
Number of Pages
476 Pages
Language
English
Publication Name
Sets of Finite Perimeter and Geometric Variational Problems : An Introduction to Geometric Measure Theory
Publication Year
2012
Subject
Geometry / Analytic, Algebra / Abstract
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Studies in Advanced Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.1 in
Item Weight
27.9 Oz
Item Length
9 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2012-018822
Dewey Edition
23
Reviews
"The book is a clear exposition of the theory of sets of finite perimeter, that introduces this topic in a very elegant and original way, and shows some deep and important results and applications ... Although most of the results contained in this book are classical, some of them appear in this volume for the first time in book form, and even the more classical topics which one may find in several other books are presented here with a strong touch of originality which makes this book pretty unique ... I strongly recommend this excellent book to every researcher or graduate student in the field of calculus of variations and geometric measure theory." Alessio Figalli, Canadian Mathematical Society Notes
Series Volume Number
Series Number 135
Illustrated
Yes
Dewey Decimal
515/.42
Lc Classification Number
Qa312 .M278 2012
Table of Content
Part I. Radon Measures on Rn: 1. Outer measures; 2. Borel and Radon measures; 3. Hausdorff measures; 4. Radon measures and continuous functions; 5. Differentiation of Radon measures; 6. Two further applications of differentiation theory; 7. Lipschitz functions; 8. Area formula; 9. Gauss-Green theorem; 10. Rectifiable sets and blow-ups of Radon measures; 11. Tangential differentiability and the area formula; Part II. Sets of Finite Perimeter: 12. Sets of finite perimeter and the Direct Method; 13. The coarea formula and the approximation theorem; 14. The Euclidean isoperimetric problem; 15. Reduced boundary and De Giorgi's structure theorem; 16. Federer's theorem and comparison sets; 17. First and second variation of perimeter; 18. Slicing boundaries of sets of finite perimeter; 19. Equilibrium shapes of liquids and sessile drops; 20. Anisotropic surface energies; Part III. Regularity Theory and Analysis of Singularities: 21. (, r0)-perimeter minimizers; 22. Excess and the height bound; 23. The Lipschitz approximation theorem; 24. The reverse Poincaré inequality; 25. Harmonic approximation and excess improvement; 26. Iteration, partial regularity, and singular sets; 27. Higher regularity theorems; 28. Analysis of singularities; Part IV. Minimizing Clusters: 29. Existence of minimizing clusters; 30. Regularity of minimizing clusters; References; Index.
Copyright Date
2012
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eBay item number:225416235851
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