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9780821821299: A Course In Metric Geometry (Graduate Studies in Mathematics)

Sinopsis

'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 exposition.

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"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).

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9781470468538: A Course in Metric Geometry (Graduate Studies in Mathematics)

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ISBN 10:  1470468530 ISBN 13:  9781470468538
Editorial: American Mathematical Society, 2001
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Burago, Dmitri, Yuri Burago and Sergei Ivanov:
Publicado por Oxford University Press, 2001
ISBN 10: 0821821296 ISBN 13: 9780821821299
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Librería: Plurabelle Books Ltd, Cambridge, Reino Unido

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Hardback. Condición: Very Good. Series: Graduate Studies in Mathematics. xiv 415p large hardback, laminated blue and yellow boards, very good condition, almost no wear, binding firm, spine slightly sunned, pages very clean and bright, text sharp and clear, free from annotations and highlighting, very good copy Language: English Weight (g): 953. Nº de ref. del artículo: 233585

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Burago, Dmitri; Burago, Yuri; Ivanov, Sergei;
Publicado por American Mathematical Society., 2001
ISBN 10: 0821821296 ISBN 13: 9780821821299
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Librería: Antiquariat Bernhardt, Kassel, Alemania

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Karton. Condición: Sehr gut. Zust: Gutes Exemplar. 414 Seiten, mit Abbildungen, Englisch 940g. Nº de ref. del artículo: 494368

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