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Science/Engineering Isaac Chavel - Riemannian Geometry: A Modern Introduction

Posted on 2010-03-16




Name:Science/Engineering Isaac Chavel - Riemannian Geometry: A Modern Introduction
ASIN/ISBN:0521619548
Language:English
File size:5.22 Mb
Publish Date: 2006
ISBN: 0521619548
Pages: 488
File Type: PDF
File Size: 5.22 MB
Other Info: Cambridge University Press
   Science/Engineering Isaac Chavel - Riemannian Geometry: A Modern Introduction

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Isaac Chavel - Riemannian Geometry: A Modern Introduction

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

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