Vetenskap & teknik
Pocket
Analysis on Polish Spaces and an Introduction to Optimal Transportation
D J H Garling
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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.
- Format: Pocket/Paperback
- ISBN: 9781108431767
- Språk: Engelska
- Antal sidor: 356
- Utgivningsdatum: 2017-12-21
- Förlag: Cambridge University Press