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Optimal transport : old and new

Author: Cédric Villani
Publisher: Berlin : Springer, ©2009.
Series: Grundlehren der mathematischen Wissenschaften, 338.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Villani, Cédric, 1973-
Optimal transport.
Berlin : Springer, ©2009
(DLC) 2008932183
(OCoLC)244421231
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Cédric Villani
ISBN: 9783540710509 3540710507 3540710493 9783540710493 1281851205 9781281851208
OCLC Number: 310352213
Description: 1 online resource (xxii, 973 pages) : illustrations.
Contents: pt. 1. Qualitative description of optimal transport --
pt. 2. Optimal transport and Riemannian geometry --
pt. 3. Synthetic treatment of Ricci curvature.
Series Title: Grundlehren der mathematischen Wissenschaften, 338.
Responsibility: Cédric Villani.

Abstract:

The field of optimal transport has made breathtaking forays into various other domains of mathematics. This book presents a broad overview of this area. PhD students or researchers can read the  Read more...

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From the reviews: "The book is aimed to old and new problems of optimal transport. ... This meticulous work is based on very large bibliography ... that is converted into a very valuable monograph Read more...

 
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