ENGLISH

Optimal Transport: Old and New

By Cédric Villani (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
978-3-540-71049-3, 978-3-540-71050-9
DOI
10.1007/978-3-540-71050-9
Language
english
Format
PDF
Filesize
8 MB (8028198 bytes)
Series
Grundlehren der mathematischen Wissenschaften 338
Edition
1
Pages
976\969
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Partial Differential Equations; Calculus of Variat

Description

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.

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