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An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows: Second Edition
 
Alessio Figalli ETH Zürich , Switzerland
Federico Glaudo Institute for Advanced Study, Princeton, NJ
A publication of European Mathematical Society
Hardcover ISBN:  978-3-98547-050-1
Product Code:  EMSTEXT/26
List Price: $45.00
AMS Member Price: $36.00
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: December 20, 2024
Please note AMS points can not be used for this product
Click above image for expanded view
An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows: Second Edition
Alessio Figalli ETH Zürich , Switzerland
Federico Glaudo Institute for Advanced Study, Princeton, NJ
A publication of European Mathematical Society
Hardcover ISBN:  978-3-98547-050-1
Product Code:  EMSTEXT/26
List Price: $45.00
AMS Member Price: $36.00
This item is temporarily out of stock. Order now and your item will ship as soon as stock becomes available.
Expected availability date: December 20, 2024
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Textbooks in Mathematics
    Volume: 262023; 146 pp
    MSC: Primary 49; 60; 28; 35

    This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given.

    Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, and differential geometry.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 262023; 146 pp
MSC: Primary 49; 60; 28; 35

This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given.

Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, and differential geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.