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Analysis on Polish Spaces and an Introduction to Optimal Transportation: 89 (London Mathematical Society Student Texts, Series Number 89) - Softcover
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This detailed account of analysis on Polish spaces contains results that apply to probability theory and a gentle introduction to optimal transportation. Containing more than 200 elementary exercises, it is a useful resource for advanced mathematical students and also for researchers in mathematical analysis.
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Críticas
'This book provides a detailed and concise account of analysis and measure theory on Polish spaces, including results about probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in analysis.' Luca Granieri, Mathematical Reviews
Reseña del editor
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.
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- VerlagCambridge University Press
- Erscheinungsdatum2017
- ISBN 10 1108431763
- ISBN 13 9781108431767
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten358
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Analysis on Polish Spaces and an Introduction to Optimal Transportation: 89 (London Mathematical Society Student Texts, Series Number 89)
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Cambridge University Press, 2017
ISBN 10: 1108431763
ISBN 13: 9781108431767
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Analysis on Polish Spaces and an Introduction to Optimal Transportation
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