Analysis on Polish Spaces and an Introduction to Optimal Transportation by D J H Garling

Part of London Mathematical Society Student Texts series

Summary

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.

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Analysis on Polish Spaces and an Introduction to Optimal Transportation by D J H Garling

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.

'This book provides a detailed and concise account of analysis and measure theory on Polish spaces, including results about probability measuresContaining 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

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).

SKU	Unavailable
ISBN 13	9781108431767
ISBN 10	1108431763
Title	Analysis on Polish Spaces and an Introduction to Optimal Transportation
Author	D J H Garling
Series	London Mathematical Society Student Texts
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	2017-12-21
Number of pages	358
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable