Description

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.

Lectures on Optimal Transport

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Paperback / softback by Luigi Ambrosio , Elia Brué

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This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability... Read more

    Publisher: Springer Nature Switzerland AG
    Publication Date: 24/07/2021
    ISBN13: 9783030721619, 978-3030721619
    ISBN10: 3030721612

    Number of Pages: 250

    Non Fiction , Mathematics & Science , Education

    Description

    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.

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