Analysis on Polish Spaces and an Introduction to Optimal Transportation (Paperback) (ISBN-13: 9781108431767)

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.

Author: D. J. H. Garling
ISBN-10: 1108431763
ISBN-13: 9781108431767
Publisher: Cambridge University Press
Language: English
Published: 12/21/2017
Pages: 356
Format: Paperback
Weight: 1.10lbs
Size: 9.25h x 6.42w x 0.81d