Hardcover ISBN: | 978-3-98547-050-1 |
Product Code: | EMSTEXT/26 |
List Price: | $45.00 |
AMS Member Price: | $36.00 |
Hardcover ISBN: | 978-3-98547-050-1 |
Product Code: | EMSTEXT/26 |
List Price: | $45.00 |
AMS Member Price: | $36.00 |
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Book DetailsEMS Textbooks in MathematicsVolume: 26; 2023; 146 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, and differential geometry.
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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.
Graduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, and differential geometry.