00905nam0-2200277---450-99000976626040332120131002191305.0000976626FED01000976626(Aleph)000976626FED0100097662620130930d1987----km-y0itay50------baengUS--------001yyFertility behaviour in the context of developmentevidence from the world fertility surveyDepartment of international economic and social affairsNew YorkUnited Nations1987XIX, 384 p.28 cmNazioni Unite.Department of Economic and Social Affairs494283ITUNINARICAUNIMARCBK990009766260403321ISVE J1.21DECTSDECTSFertility behaviour in the context of development831981UNINA02735nam a2200325 i 4500991003377389707536170530s2015 sz a |00| 0|eng d9783319208275b14324623-39ule_inst515.6423AMS 49-02LC QA402.5Santambrogio, Filippo742112Optimal transport for applied mathematicians :calculus of variations, PDEs, and modeling /Filippo SantambrogioCham :Springer International Publishing,c2015xxvii, 353 p. :30 ill., 19 ill. in color ;24 cmProgress in nonlinear differential equations and their applications,1421-1750 ;87Includes bibliographical referencesPreface ; Primal and dual problems ; One-dimensional Issues ; Lₑ L∞[subscript] theory ; Minimal flows ; Wasserstein spaces ; Numerical methods ; Functionals over probabilities ; Gradient flows ; Exercises ; References ; IndexThis monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resourceMeasure theoryPartial differential equationsCalculus of variationsProgress in nonlinear differential equations and their applications,1421-1750 ;87.b1432462305-06-1730-05-17991003377389707536LE013 49-XX SAN11 (2015)12013000294766le013pE62.39-l- 00000.i1580944405-06-17Optimal transport for applied mathematicians1474054UNISALENTOle01330-05-17ma -engsz 00