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Author Chavel, Isaac.

Title Riemannian geometry : a modern introduction / Isaac Chavel.

Imprint New York : Cambridge University Press, 2006.

Item Status

Edition 2nd ed.
Description 1 online resource (xvi, 471 pages) : illustrations.
data file
Series Cambridge studies in advanced mathematics ; 98
Cambridge studies in advanced mathematics ; 98.
Bibliography Includes bibliographical references (pages 449-464) and indexes.
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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Geometry, Riemannian.
Geometry, Differential.
Genre/Form Electronic book.
Electronic books.
Electronic books.
Other Form: Print version: Chavel, Isaac. Riemannian geometry. 2nd ed. New York : Cambridge University Press, 2006 (DLC) 2005029338
ISBN 9780511221200 (electronic bk.)
0511221207 (electronic bk.)
0511219911 (electronic bk. ; Adobe Reader)
9780511219917 (electronic bk. ; Adobe Reader)
0511220324 (electronic bk.)
9780511220326 (electronic bk.)
0521853680 (alk. paper)
0521619548 (pbk. ; alk. paper)