Analysis on Polish Spaces and an Introduction to Optimal Transportation
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Student Texts
ISBN-10
1108431763
ISBN-13
9781108431767
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 21st, 2017
Print length
356 Pages
Weight
510 grams
Dimensions
22.70 x 15.00 x 2.00 cms
Product Classification:
Calculus & mathematical analysis
Ksh 8,050.00
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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.
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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