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Analysis on Polish Spaces and an Introduction to Optimal Transportation.
・ISBN 978-1-108-42157-7 hard GB£ 93.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-37736-2
| 著者・編者 | Garling, D. J. H., |
|---|---|
| シリーズ | London Mathematical Society Student Texts |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2017 |
| ページ数 | 356 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9674＞ |
解説
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces of probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in mathematical analysis. The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.