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Pure Metric Geometry. 1st ed. 2023.
・ISBN 978-3-031-39161-3 paper EUR 44.99
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| 著者・編者 | Petrunin, Anton, |
|---|---|
| シリーズ | SpringerBriefs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 103 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-5316> |
解説
This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport.
Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics.