Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Optimal Transport for Applied Mathematicians by Filippo Santambrogio, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Filippo Santambrogio ISBN: 9783319208282
Publisher: Springer International Publishing Publication: October 17, 2015
Imprint: Birkhäuser Language: English
Author: Filippo Santambrogio
ISBN: 9783319208282
Publisher: Springer International Publishing
Publication: October 17, 2015
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Noise Tolerant Data Authentication for Wireless Communication by Filippo Santambrogio
Cover of the book Transport Phenomena in Newtonian Fluids - A Concise Primer by Filippo Santambrogio
Cover of the book Innovative Approaches to Supporting Families of Young Children by Filippo Santambrogio
Cover of the book Biography of an Industrial Town by Filippo Santambrogio
Cover of the book The Force of Law Reaffirmed by Filippo Santambrogio
Cover of the book Leadership and Small Business by Filippo Santambrogio
Cover of the book Reframing Information Architecture by Filippo Santambrogio
Cover of the book The Cosmic Microwave Background by Filippo Santambrogio
Cover of the book Determination of Atmospheric Parameters of B-, A-, F- and G-Type Stars by Filippo Santambrogio
Cover of the book Membrane Computing by Filippo Santambrogio
Cover of the book Guide to Unconventional Computing for Music by Filippo Santambrogio
Cover of the book Contrastive Analysis of Discourse-pragmatic Aspects of Linguistic Genres by Filippo Santambrogio
Cover of the book Geopolitics, Development, and National Security by Filippo Santambrogio
Cover of the book Burnout, Fatigue, Exhaustion by Filippo Santambrogio
Cover of the book Early Vocal Contact and Preterm Infant Brain Development by Filippo Santambrogio
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy