01835cam 2200301 i 450099100426522400753620231115144238.0230302s2021 sz er 000 0 eng d 9783030721619br.Bibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng519.6AMS 49-01AMS 49NXXLC QA402.5Ambrosio, Luigi44009Lectures on optimal transport /Luigi Ambrosio, Elia Brué, Daniele SemolaCham :Springer,c2021ix, 250 p. ;24 cmUnitext,2038-5714 ;130Bibliography: p. 245-250This 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 equationsMathematical optimizationTransportation problems (Programming)Brué, Eliaauthorhttp://id.loc.gov/vocabulary/relators/aut1434818Semola, Danieleauthorhttp://id.loc.gov/vocabulary/relators/aut1434819991004265224007536Lectures on optimal transport3590911UNISALENTO