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Isoperimetric Inequalities

Name: Isoperimetric Inequalities
Brand: Cambridge University Press
SKU: 9781107402270
Price: 1698 CZK
Availability: InStock

Differential Geometric and Analytic Perspectives

Autor: Isaac Chavel

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 14-21 dnů

1 698 Kč

This 2001 introduction treats the classical isoperimetric inequality in Euclidean space and contrast...

Informace o knize

Autor

Isaac Chavel

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

282

EAN

9781107402270

ISBN

1107402271

Enbook ID

02051204

Vydavatel

Cambridge University Press

Hmotnost

420

Rozměry

152 x 229 x 16

Kompletní popis

This 2001 introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact Riemannian manifolds. In Euclidean space the emphasis is on a most general form of the inequality sufficiently precise to characterize the case of equality, and in Riemannian manifolds the emphasis is on those qualitative features of the inequality which provide insight into the coarse geometry at infinity of Riemannian manifolds. The treatment in Euclidean space features a number of proofs of the classical inequality in increasing generality, providing in the process a transition from the methods of classical differential geometry to those of modern geometric measure theory; and the treatment in Riemannian manifolds features discretization techniques, and applications to upper bounds of large time heat diffusion in Riemannian manifolds. The result is an introduction to the rich tapestry of ideas and techniques of isoperimetric inequalities.