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Book Cover
Author Chavel, Isaac.

Title Riemannian geometry : a modern introduction / Isaac Chavel
Edition Second edition
Published New York : Cambridge University Press, 2006
Online access available from:
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Description 1 online resource (xvi, 471 pages) : illustrations
Series Cambridge studies in advanced mathematics ; 98
Cambridge studies in advanced mathematics ; 98
Contents Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; I Riemannian Manifolds; II Riemannian Curvature; III Riemannian Volume; IV Riemannian Coverings; V Surfaces; VI Isoperimetric Inequalities (Constant Curvature); VII The Kinematic Density; VIII Isoperimetric Inequalities (Variable Curvature); IX Comparison and Finiteness Theorems; Hints and Sketches for Exercises; Bibliography; Author Index; Subject Index
Summary This corrected and clarified second edition, including a new chapter on the Riemannian geometry of surfaces, provides an introduction to the geometry of curved spaces. Its main theme is the effect of the curvature of spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and on those new notions and ideas motivated by curvature itself
Bibliography Includes bibliographical references (pages 449-464) and indexes
Notes Print version record
Subject Geometry, Differential.
Geometry, Riemannian.
Form Electronic book
ISBN 0511219237
0511219911 (electronic bk. ; Adobe Reader)
0511220324 (electronic bk.)
0511221207 (electronic bk.)
9780511219917 (electronic bk. ; Adobe Reader)
9780511220326 (electronic bk.)
9780511221200 (electronic bk.)
(paperback; alk. paper)
(alk. paper)