Analysis on Polish Spaces and an Introduction to Optimal Transportation (Hardcover) (ISBN-13: 9781108421577)

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: 1108421571
ISBN-13: 9781108421577
Publisher: Cambridge University Press
Language: English
Published: 02/06/2018
Pages: 356
Format: Hardcover
Weight: 1.38lbs
Size: 9.26h x 6.30w x 0.96d