Analysis on Polish Spaces and an Introduction to Optimal Transportation
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- Synopsis
- 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.
- Copyright:
- 2018
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781108381956
- Publisher:
- Cambridge University Press
- Date of Addition:
- 12/12/17
- Copyrighted By:
- D. J H. Garling
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.