Analysis on Polish Spaces and an Introduction to Optimal Transportation

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book Analysis on Polish Spaces and an Introduction to Optimal Transportation by D. J. H. Garling, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: D. J. H. Garling ISBN: 9781108381956
Publisher: Cambridge University Press Publication: December 21, 2017
Imprint: Cambridge University Press Language: English
Author: D. J. H. Garling
ISBN: 9781108381956
Publisher: Cambridge University Press
Publication: December 21, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Extractive Industries and Ape Conservation by D. J. H. Garling
Cover of the book The Legal Foundations of Inequality by D. J. H. Garling
Cover of the book The Measure of American Elections by D. J. H. Garling
Cover of the book Homer on the Gods and Human Virtue by D. J. H. Garling
Cover of the book NAFTA and the Politics of Labor Transnationalism by D. J. H. Garling
Cover of the book The Eurozone Crisis by D. J. H. Garling
Cover of the book European Consumer Access to Justice Revisited by D. J. H. Garling
Cover of the book The Cambridge Companion to Jung by D. J. H. Garling
Cover of the book Kuhn's Evolutionary Social Epistemology by D. J. H. Garling
Cover of the book Mathematics and the Body by D. J. H. Garling
Cover of the book Sleep, Romance and Human Embodiment by D. J. H. Garling
Cover of the book The Measure of All Minds by D. J. H. Garling
Cover of the book Bacterial Physiology and Metabolism by D. J. H. Garling
Cover of the book Teaching Medical Professionalism by D. J. H. Garling
Cover of the book The Cambridge Companion to Medieval English Theatre by D. J. H. Garling
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy