Analysis on Polish Spaces and an Introduction to Optimal Transportation: 89 (London Mathematical Society Student Texts, Series Number 89) - Hardcover

Garling, D. J. H.

Hardcover

ISBN 10: 1108421571 ISBN 13: 9781108421577

Publisher: Cambridge University Press, 2017

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.

About this title

Review

'This book provides a detailed and concise account of analysis and measure theory on Polish spaces, including results about probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in analysis.' Luca Granieri, Mathematical Reviews

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 1108421571
• ISBN 13: 9781108421577
• Binding: Hardcover
• Language: English
• Number of pages: 356