Overview

"""Metric geometry"" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces)."

Full Product Details

Author:   Dmitri Burago ,  Yuri Burago ,  Sergei Ivanov
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 33
Dimensions:   Width: 18.40cm , Height: 2.50cm , Length: 25.40cm
Weight:   0.964kg
ISBN:  

9780821821299

ISBN 10:   0821821296
Pages:   417
Publication Date:   30 June 2001
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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