"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. The book is suitable for a course at the graduate level and also includes an appendix with a series of exercises along with their solutions." --
In a textbook for a graduate mathematics course, Figalli and Glaudo provide a self-contained introduction to optimal transport for students intending to pursue work in that area. They focus 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. They include some selected applications of optimal transport, as well as exercises with solutions. Distributed in the US by the American Mathematical Society. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)
