A Course in Metric Geometry (Graduate Studies in Mathematics, Volume 33.)

Burago, Dmitri, Yuri Burago Sergei Ivanov a. o.:

ISBN 10: 0821821296 / ISBN 13: 9780821821299

Published by American Mathematical Society., 2001

About this Item

414 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 940.

Seller Inventory # 494368

Bibliographic Details

• Title: A Course in Metric Geometry (Graduate Studies in Mathematics, Volume 33.)
• Publisher: American Mathematical Society.
• Publication Date: 2001
• Language: English
• ISBN 10: 0821821296
• ISBN 13: 9780821821299
• Binding: Karton Karton
• Condition: Sehr gut
• Weight: 940 grams
• Seller catalogs:
  • Mathematik

About this title

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.

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