Read Topics in Optimal Transportation (Graduate Studies in Mathematics, 58)

Topics in Optimal Transportation (Graduate Studies in Mathematics, 58)

Cédric Villani

4.9/5 (30600 ratings)

Description:This is the first comprehensive introduction to the theory of mass transportation with its many―and sometimes unexpected―applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Topics in Optimal Transportation (Graduate Studies in Mathematics, 58). To get started finding Topics in Optimal Transportation (Graduate Studies in Mathematics, 58), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 1470467267

Description: This is the first comprehensive introduction to the theory of mass transportation with its many―and sometimes unexpected―applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Topics in Optimal Transportation (Graduate Studies in Mathematics, 58). To get started finding Topics in Optimal Transportation (Graduate Studies in Mathematics, 58), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Topics in Optimal Transportation (Graduate Studies in Mathematics, 58)

Topics in Optimal Transportation (Graduate Studies in Mathematics, 58)

More Books

Birth of a Theorem: A Mathematical Adventure

Birth of a Theorem: A Mathematical Adventure

Les Rêveurs lunaires. Quatre génies qui ont changé l'Histoire

Les Rêveurs lunaires. Quatre génies qui ont changé l'Histoire

Cédric Villani présente les lauréats du Prix Le Monde de la Recherche 2016

Cédric Villani présente les lauréats du Prix Le Monde de la Recherche 2016

Les mathématiques sont la poésie des sciences (La tortue de Zénon) (French Edition)

Les mathématiques sont la poésie des sciences (La tortue de Zénon) (French Edition)

Medaille Fields: Laurent Lafforgue, Laurent Schwartz, Jean-Pierre Serre, Rene Thom, Alexandre Grothendieck, Grigori Perelman, Ngo B O Chau, Edward Witten, Alain Connes, Cedric Villani, Wendelin Werner, Kunihiko Kodaira

Medaille Fields: Laurent Lafforgue, Laurent Schwartz, Jean-Pierre Serre, Rene Thom, Alexandre Grothendieck, Grigori Perelman, Ngo B O Chau, Edward Witten, Alain Connes, Cedric Villani, Wendelin Werner, Kunihiko Kodaira

Optimal Transport: Old and New (Grundlehren der mathematischen Wissenschaften, 338)

Optimal Transport: Old and New (Grundlehren der mathematischen Wissenschaften, 338)

Topics in Optimal Transportation

Topics in Optimal Transportation

le monde est mathematique;la secte des nombres;le theoreme de pythagore;collection presentee par cedric villani

le monde est mathematique;la secte des nombres;le theoreme de pythagore;collection presentee par cedric villani

Petit dictionnaire illustré de l'innovation et de l'entrepreneuriat - Volume 1: Préface de Franck Le Ouay et Cédric Villani

Petit dictionnaire illustré de l'innovation et de l'entrepreneuriat - Volume 1: Préface de Franck Le Ouay et Cédric Villani