Items related to A Course in Metric Geometry
Synopsis
"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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Review
"The book is well worth reading. Contributing to this are the many elementary examples with which the authors supplement the text ... Anyone who is intensely concerned with Riemmannian geometry will not pass up this book. It is so far without competition and fills a gap in the market." ---- Translated from Jahresbericht der Deutschen Mathematiker-Vereinigung
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Seller Image
A Course in Metric Geometry.
Published by
Oxford University Press, 2001
ISBN 10: 0821821296
ISBN 13: 9780821821299
Used
Hardcover
Seller: Plurabelle Books Ltd, Cambridge, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: 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. Seller Inventory # 233585
Quantity: 1 available
Stock Image
A Course in Metric Geometry (Graduate Studies in Mathematics, Volume 33.).
Published by
American Mathematical Society., 2001
ISBN 10: 0821821296
ISBN 13: 9780821821299
Used
Karton
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 414 Seiten, mit Abbildungen, Englisch 940g. Seller Inventory # 494368
Quantity: 1 available