Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives
No Customer Reviews
Select Format
Select Condition 
Book Overview
This 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.
Format:Paperback
Language:English
ISBN:1107402271
ISBN13:9781107402270
Release Date:July 2011
Publisher:Cambridge University Press
Length:282 Pages
Weight:0.92 lbs.
Dimensions:0.6" x 6.0" x 9.0"
Related Subjects
General Geometry Math Mathematics Medical Medical Books Medicine Science & Math StatisticsCustomer Reviews
0 rating
Copyright © 2025 Thriftbooks.com
Terms of Use | Privacy Policy | Do Not Sell/Share My Personal Information | Cookie Policy | Cookie Preferences | Accessibility Statement
ThriftBooks ® and the ThriftBooks ® logo are registered trademarks of Thrift Books Global, LLC
ThriftBooks ® and the ThriftBooks ® logo are registered trademarks of Thrift Books Global, LLC
