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Lectures on Optimal Transport

Luigi Ambrosio author Elia Brué author Daniele Semola author

Format:Paperback

Publisher:Springer International Publishing AG

Publishing:13th Jan '25

£44.99

This title is due to be published on 13th January, and will be despatched as soon as possible.

Lectures on Optimal Transport cover

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations.

This is the second edition of the book, first published in 2018. It includes refinement of proofs, an updated bibliography and a more detailed discussion of minmax principles, with the aim of giving two fully self-contained proofs of Kantorovich duality.

ISBN: 9783031768330

Dimensions: unknown

Weight: unknown

260 pages

Second Edition 2024