02024nam a22003017a 4500999001700000005001700017008004100034020001800075028011800093082001500211100002300226245005500249260004100304300004500345365000900390505050200399520041600901650001601317650004201333650004201375650003001417650004501447650001601492650002101508700002001529942000801549952016501557  c58634d5863420211130150937.0211130b           ||||| |||| 00| 0 eng d  a9781470425623  a:Variety Books Publishers & Distributors	b:B-10 Street No 2 West Vinod Nagar Delhi 110092 c:IM2893d:25/11/2021  a519.72 VIL  aVillani, Cédric,  aTopics in Optimal Transportationc/ Cedric Villani  aNew Delhib;University  Press c2003  axvi, 378 pages : illustrationsc ; 26 cm  b1230  a	Ch. 1. The Kantorovich Duality --
Ch. 2. Geometry of Optimal Transportation --
Ch. 3. Brenier's Polar Factorization Theorem --
Ch. 4. The Monge-Ampere Equation --
Ch. 5. Displacement Interpolation and Displacement Convexity --
Ch. 6. Geometric and Gaussian Inequalities --
Ch. 7. The Metric Side of Optimal Transportation --
Ch. 8. A Differential Point of View on Optimal Transportation --
Ch. 9. Entropy Production and Transportation Inequalities --
Ch. 10. Problems --
Table of Short Statements  aThis graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.  aMathematics  aProbabilities and applied mathematics  aTransportation problems (Programming)  aMonge-Ampère equations.  aProblèmes de transport (Programmation)  aTransports.  aTeoria ergodica.  aVillani, Cedric  cMDL  00102ddc4071aMDLbSNULd2021-11-30eVariety Books Publishers & Distributorsg1230.00l0o519.72 VILpM304r2021-11-30 00:00:00w2021-11-30yMDLzFPDA Grant 