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Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory /
"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 t...
| Hoofdauteur: | |
|---|---|
| Formaat: | Printed Book |
| Taal: | English |
| Gepubliceerd in: |
New York :
Cambridge University Press,
2012.
|
| Reeks: | Cambridge studies in advanced mathematics ;
135 |
| Onderwerpen: | |
| Online toegang: | Table of contents only Contributor biographical information Cover image Publisher description |
| LEADER | 02698cam a2200313 i 4500 | ||
|---|---|---|---|
| 008 | 120511s2012 nyu b 001 0 eng | ||
| 010 | |a 2012018822 | ||
| 020 | |a 9781107021037 (hardback) | ||
| 042 | |a pcc | ||
| 082 | 0 | 0 | |a 515/.42 |2 23 |
| 084 | |a 49Q15 |2 msc | ||
| 100 | 1 | |a Maggi, Francesco, | |
| 245 | 1 | 0 | |a Sets of finite perimeter and geometric variational problems : |b an introduction to geometric measure theory / |c Francesco Maggi, Università degli Studi di Firenze, Italy. |
| 260 | |a New York : |b Cambridge University Press, |c 2012. | ||
| 300 | |a xix, 454 pages ; |c 24 cm. | ||
| 490 | 0 | |a Cambridge studies in advanced mathematics ; |v 135 | |
| 504 | |a Includes bibliographical references (pages 445-452) and index. | ||
| 520 | |a "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. 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"-- | ||
| 650 | 0 | |a Geometric measure theory. | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis. |2 bisacsh | |
| 856 | 4 | 1 | |3 Table of contents only |u http://www.loc.gov/catdir/enhancements/fy1210/2012018822-t.html |
| 856 | 4 | 2 | |3 Contributor biographical information |u http://www.loc.gov/catdir/enhancements/fy1210/2012018822-b.html |
| 856 | 4 | 2 | |3 Cover image |u http://assets.cambridge.org/97811070/21037/cover/9781107021037.jpg |
| 856 | 4 | 2 | |3 Publisher description |u http://www.loc.gov/catdir/enhancements/fy1210/2012018822-d.html |
| 906 | |a 7 |b cbc |c orignew |d 1 |e ecip |f 20 |g y-gencatlg | ||
| 942 | |c BK | ||
| 955 | |b rg11 2012-05-11 (telework) |c rg11 2012-05-11 ONIX (telework) to Gen Sci/Tech (STM) |a xn07 2012-12-06 1 copy rec'd., to CIP ver. | ||
| 999 | |c 135820 |d 135820 | ||
| 952 | |0 0 |1 0 |4 0 |6 49Q_MAG |7 0 |9 150359 |a MAT |b MAT |c ST1 |d 2014-11-22 |i 6498 |l 0 |o 49Q MAG |p MAT6498 |r 2014-11-22 |w 2018-08-20 |y BK | ||