Analysis on Polish Spaces and an Introduction to Optimal Transportation - Couverture souple

Livre 74 sur 83: London Mathematical Society Student Texts

Garling, D. J. H.

 
9781108431767: Analysis on Polish Spaces and an Introduction to Optimal Transportation

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.

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À propos de l?auteur

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).

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Autres éditions populaires du même titre

9781108421577: Analysis on Polish Spaces and an Introduction to Optimal Transportation

Edition présentée

ISBN 10 :  1108421571 ISBN 13 :  9781108421577
Editeur : Cambridge University Press, 2017
Couverture rigide