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Optimal Transport for Applied Mathematicians: Calculus of Variations, Pdes, and

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
Book Title
Optimal Transport for Applied Mathematicians: Calculus of Variati
Publication Date
2016-08-23
Pages
353
ISBN
9783319365817

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Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3319365819
ISBN-13
9783319365817
eBay Product ID (ePID)
7038408754

Product Key Features

Number of Pages
Xxvii, 353 Pages
Language
English
Publication Name
Optimal Transport for Applied Mathematicians : Calculus of Variations, Pdes, and Modeling
Subject
Differential Equations / General, Optimization, Mathematical Analysis
Publication Year
2016
Type
Textbook
Author
Filippo Santambrogio
Subject Area
Mathematics
Series
Progress in Nonlinear Differential Equations and Their Applications Ser.
Format
Trade Paperback

Dimensions

Item Weight
204.4 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Dewey Edition
23
Reviews
"This book is very well written, and the proofs are carefully chosen and adapted. It is suitable for the researcher or the student willing to enter this field as well as for the professor planning a course on this topic. Thanks to the discussions at the end of each chapter and to the rich bibliography it is also a very good reference book." (Luigi De Pascale, Mathematical Reviews, January, 2017)
Series Volume Number
87
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
519.6
Table Of Content
Preface.- Primal and Dual Problems.- One-Dimensional Issues.- L^1 and L^infinity Theory.- Minimal Flows.- Wasserstein Spaces.- Numerical Methods.- Functionals over Probabilities.- Gradient Flows.- Exercises.- References.- Index.
Synopsis
Preface.- Primal and Dual Problems.- One-Dimensional Issues.- L 1 and L infinity Theory.- Minimal Flows.- Wasserstein Spaces.- Numerical Methods.- Functionals over Probabilities.- Gradient Flows.- Exercises.- References.- Index., 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.
LC Classification Number
QA402.5-402.6

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