Isoperimetric Inequalities Differential Geometric and Analytic Perspectives |
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| Author:
| Chavel, Isaac |
| Series title: | Cambridge Tracts in Mathematics Ser. |
| ISBN: | 978-0-521-80267-3 |
| Publication Date: | Jul 2001 |
| Publisher: | Cambridge University Press
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| Book Format: | Hardback |
| List Price: | USD $142.00 |
Book Description:
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Classical isoperimetric inequalities in the plane relate the area of a domain to the length of its boundary, and, in space, the volume to the area of its boundary. This advan ced introduction emphasizes the subject's variety of ideas, techniques, and applications. The author discusses inequalities in Euclidean and Riemannian geometry, methods of classical differential geometry and elementary modern geometric measure, discretization of smooth spaces, and the influence of isoperimetric...
More DescriptionClassical isoperimetric inequalities in the plane relate the area of a domain to the length of its boundary, and, in space, the volume to the area of its boundary. This advan ced introduction emphasizes the subject's variety of ideas, techniques, and applications. The author discusses inequalities in Euclidean and Riemannian geometry, methods of classical differential geometry and elementary modern geometric measure, discretization of smooth spaces, and the influence of isoperimetric inequalities on heat diffusion on Riemannian manifolds.Requiring only of a basic course in differential geometry, this book will appeal to graduate students and researchers alike in differential geometry, analysis, and related subjects.