| Analysis on Polish Spaces and an Introduction to Optimal Transportation Contributor(s): Garling, D. J. H. (Author) |
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ISBN: 1108431763 ISBN-13: 9781108431767 Publisher: Cambridge University Press OUR PRICE: $51.29 Product Type: Paperback - Other Formats Published: December 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis |
| Dewey: 514.32 |
| LCCN: 2017028186 |
| Series: London Mathematical Society Student Texts |
| Physical Information: 0.81" H x 6.42" W x 9.25" (1.10 lbs) 356 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
Contributor Bio(s): Garling, D. J. H.: - D. J. H. Garling is a Fellow of St John's College, Cambridge, and Emeritus Reader in Mathematical Analysis at the University of Cambridge. He has written several books on mathematics, including Inequalities: A Journey into Linear Algebra (Cambridge, 2007) and A Course in Mathematical Analysis (Cambridge, 2013). |