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Field name	Details
Dewey Class	515.353
Title	Optimal Transport ([Ebook]) : Old and New / by Cédric Villani.
Author	Villani, Cédric , 1973-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer
Publication	, 2009.
Physical Details	: online resource.
Series	Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 338
ISBN	9783540710509
Summary Note	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 results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the bookâs value as a most welcome reference text on this subject.:
Contents note	Introduction -- Qualitative Description of Optimal Transport -- Optimal Transport and Riemannian Geometry -- Synthetic Treatment of Ricci Curvature -- Conclusions and Open Problems.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-540-71050-9
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Differential equations, Partial . Differential Geometry . Global differential geometry . Mathematical optimization . Mathematics . Partial differential equations . Authors: Villani, Cédric 1973- . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 515.353 . 515.353 (DDC 23) .

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Optimal Transport: Old and New

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