Riemannian Geometry: A Modern Introduction (Cambridge Tracts in Mathematics) - Isaac Chavel (1994)
ISBN 0521432014
Subject Geometry, Riemannian
Publisher Cambridge University Press
Publication Date 1/28/1994
Format Hardcover (241 x 165 mm)
Language e
This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.
Personal Details
Collection Status In Collection
Index 213
Read It Yes
Links Amazon US
Product Details
LoC Classification QA649 .C45 1993
Dewey 516.3/73
Cover Price $69.95
No. of Pages 400