D. J. H. Garling

Analysis on Polish Spaces and an Introduction to Optimal Transportation

• Gebundenes Buch

Produktbeschreibung

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

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 360
• Erscheinungstermin: 21. Dezember 2017
• Englisch
• Abmessung: 235mm x 157mm x 26mm
• Gewicht: 735g
• ISBN-13: 9781108421577
• ISBN-10: 1108421571
• Artikelnr.: 48684518

Autorenporträt

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).

Inhaltsangabe

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.