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Geometric Inequalities

Author: Yuriĭ Dmitrievich Burago; Viktor Abramovich Zalgaller
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988.
Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 285.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Geometrie inequalities have a wide range of applieations-within geometry itself as weIl as beyond its limits. The theory of funetions of a eomplex variable, the ealculus of variations in the large, embedding theorems of funetion spaees, a priori estimates for solutions of differential equations yield many sueh examples. We have attempted to piek out the most general inequalities and, in model eases, we exhibit  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yuriĭ Dmitrievich Burago; Viktor Abramovich Zalgaller
ISBN: 9783662074411 3662074419
OCLC Number: 851381543
Description: 1 online resource (xiv, 334 pages).
Contents: 1. Two-Dimensional Surfaces --
2. The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality --
3. Isoperimetric Inequalities for Various Definitions of Area --
4. Mixed Volumes --
5. Immersions in?n --
6. Riemannian Manifolds --
Author Index.
Series Title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 285.
Responsibility: by Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller.

Abstract:

A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various  Read more...

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