RT Web Page DB /z-wcorg/ DS http://worldcat.org ID 310352213 LA English UL http://public.eblib.com/choice/publicfullrecord.aspx?p=417196 T1 Optimal transport old and new A1 Villani, Cédric,, PB Springer PP Berlin YR 2009 SN 9783540710509 3540710507 3540710493 9783540710493 1281851205 9781281851208 AB 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.