Optimal Transport for Applied Mathematicians

Name: Optimal Transport for Applied Mathematicians
Brand: Birkhauser Verlag AG
SKU: 9783319365817
Price: 359.14 RON
Availability: InStock

Calculus of Variations, PDEs, and Modeling

Autor: Filippo Santambrogio

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Legare: Carte broșată

Editura: Birkhauser Verlag AG

Disponibilitate: În depozitul extern

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This monograph presents a rigorous mathematical introduction to optimal transport as a variational p...

Informații despre carte

Autor

Filippo Santambrogio

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

353

EAN

9783319365817

ISBN

3319365819

Enbook ID

18051278

Editura

Birkhauser Verlag AG

Greutate

5796

Dimensiuni

155 x 235 x 23

Descriere completă

This 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 resource.

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Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

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Descriere completă

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