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Analysis on Polish Spaces and an Introduction to Optimal Transportation
by Analysis on Polish Spaces and an Introduction to Optimal Transportation
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Description
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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Product Details
- Cambridge University Pres Brand
- Feb 6, 2018 Pub Date:
- 9781108421577 ISBN-13:
- 1108421571 ISBN-10:
- English Language
- 356.0 pages Hardcover
- 9.25 in * 0.75 in * 6 in Dimensions:
- 1 lb Weight:
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