Optimal Transport for Applied Mathematicians

Name: Optimal Transport for Applied Mathematicians
Brand: Birkhauser
SKU: 9783319208275
Price: 257.33 PLN
Availability: InStock

Calculus of Variations, PDEs, and Modeling

Autor: Filippo Santambrogio

Język:

Oprawa: Twarda

Wydawca: Birkhauser

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-13 dni

257.33 zł

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

Informacje o książce

Autor

Filippo Santambrogio

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2015

strony

353

EAN

9783319208275

ISBN

3319208276

Enbook ID

09361451

Wydawca

Birkhauser

Waga

788

Wymiary

246 x 165 x 25

Pełny opis

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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