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

Garling, D. J. H.

Softcover

ISBN 10: 1108431763 ISBN 13: 9781108431767

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

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.

About the Author

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).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 1108431763
• ISBN 13: 9781108431767
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 356