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  1. Bog
  2. Matematik
  3. Geometri
A Course in Metric Geometry
Af: Sergei Ivanov, Yuri Burago, Dmitri Burago
Engelsk
Bogcover for A Course in Metric Geometry af Sergei Ivanov, Yuri Burago, Dmitri Burago, 9781470468538
Specifikationer
Sprog:
Engelsk
Sider:
415
ISBN-13:
9781470468538
Indbinding:
Paperback
ISBN-10:
1470468530
Kategori:
Udg. Dato:
30 jan 2001
Størrelse i cm:
18,1 x 25,9 x 2,4
Forlag:
Serie:
Oplagsdato:
30 jan 2001
Forfatter(e):
Genre:

A Course in Metric Geometry

Af: Sergei Ivanov, Yuri Burago, Dmitri Burago
Engelsk
Paperback 2001
Format:
Paperback
Bog beskrivelse
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). The authors tend to work with ""easy-to-touch'' mathematical objects using ""easy-to-visualize'' methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
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Specifikationer
Sprog:
Engelsk
Sider:
415
ISBN-13:
9781470468538
Indbinding:
Paperback
ISBN-10:
1470468530
Kategori:
Udg. Dato:
30 jan 2001
Størrelse i cm:
18,1 x 25,9 x 2,4
Forlag:
Serie:
Oplagsdato:
30 jan 2001
Forfatter(e):
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