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Optimal Transport

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Optimal Transport Synopsis

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 book's value as a most welcome reference text on this subject.

About This Edition

ISBN: 9783540710493
Publication date:
Author: Cédric Villani
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Hardback
Pagination: 976 pages
Series: Grundlehren Der Mathematischen Wissenschaften
Genres: Differential calculus and equations
Differential and Riemannian geometry
Optimization

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