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Analysis On Polish Spaces And An Introduction To Optimal Transportation

Analysis On Polish Spaces And An Introduction To Optimal Transportation - Garling, D. J. H. (university Of Cambridge) - ISBN: 9781108431767
Prijs: € 49,80
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Bindwijze: Boek
Genre: Toepassingsgerichte wiskunde
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Beschrijving

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

Details

Titel: Analysis On Polish Spaces And An Introduction To Optimal Transportation
auteur: Garling, D. J. H. (university Of Cambridge)
Mediatype: Boek
Taal: Engels
Aantal pagina's: 356
Uitgever: Cambridge University Press
Plaats van publicatie: 03
NUR: Toepassingsgerichte wiskunde
Afmetingen: 227 x 150 x 20
Gewicht: 510 gr
ISBN/ISBN13: 9781108431767
Intern nummer: 39489463
Volume: 1

Biografie (woord)

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).

Quote

'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

Inhoudsopgave

Introduction; Part I. Topological Properties: 1. General topology; 2. Metric spaces; 3. Polish spaces and compactness; 4. Semi-continuous functions; 5. Uniform spaces and topological groups; 6. Càdlàg functions; 7. Banach spaces; 8. Hilbert space; 9. The Hahn–Banach theorem; 10. Convex functions; 11. Subdifferentials and the legendre transform; 12. Compact convex Polish spaces; 13. Some fixed point theorems; Part II. Measures on Polish Spaces: 14. Abstract measure theory; 15. Further measure theory; 16. Borel measures; 17. Measures on Euclidean space; 18. Convergence of measures; 19. Introduction to Choquet theory; Part III. Introduction to Optimal Transportation: 20. Optimal transportation; 21. Wasserstein metrics; 22. Some examples; Further reading; Index.

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