Riemannian Geometry: A Modern Introduction by Isaac Chavel (Paperback, 1995)

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Product Information

This book provides an introduction to Riemannian geometry, the geometry of curved spaces. As such, 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. Among the specialized classical topics in this new setting is isoperimetric inequalities, that is, the interplay of curvature with the volume of sets and the areas of their boundaries. Completely new themes, created by curvature, include local versus global geometric properties, that is, the interaction of the microscopic behaviour of the geometry with the macroscopic structure of the space. After considering those topics which would form the core of an introductory course, the book emphasizes more specialized topics which have yet to be treated in book form. Also featured is an ambitious and non-traditional notes and exercises section for each chapter, to develop and enrich the reader's appetite for, and appreciation of the subject.

Product Identifiers

PublisherCambridge University Press
ISBN-139780521485784
eBay Product ID (ePID)87752142

Product Key Features

Number of Pages400 Pages
LanguageEnglish
Publication NameRiemannian Geometry: a Modern Introduction
Publication Year1995
SubjectMathematics
TypeTextbook
AuthorIsaac Chavel
SeriesCambridge Tracts in Mathematics
FormatPaperback

Dimensions

Item Height227 mm
Item Weight528 g
Item Width151 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorIsaac Chavel
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