Optimal Transport for Applied Mathematicians

Name: Optimal Transport for Applied Mathematicians
Brand: Birkhauser
SKU: 9783319208275
Price: 23049 HUF
Availability: InStock

Calculus of Variations, PDEs, and Modeling

Szerző: Filippo Santambrogio

Nyelv:

Kötés: Kemény kötésű

Kiadó: Birkhauser

Elérhetőség: Beszállítói készleten

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

Információk a könyvről

Szerző

Filippo Santambrogio

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2015

oldal

353

EAN

9783319208275

ISBN

3319208276

Enbook ID

09361451

Kiadó

Birkhauser

Súly

788

Méretek

246 x 165 x 25

Teljes leírás

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

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták