Topics in Optimal Transportation (Graduate Studies in Mathematics) - Tapa blanda

Libro 173 de 190: Graduate Studies in Mathematics

Villani, Cedric

 
9781470467265: Topics in Optimal Transportation (Graduate Studies in Mathematics)
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ISBN 10: 1470467267 ISBN 13: 9781470467265
Editorial: American Mathematical Society, 2003

Sinopsis

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 at once an introduction to the field of optimal transportation and a survey of the research on the topic over the last 15 years. The book is intended for graduate students and researchers, and it covers both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.

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Acerca del autor

Cedric Villani, Ecole Normale Superieure de Lyon, France.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2003
Idioma
Inglés
ISBN 10 
1470467267
ISBN 13 
9781470467265
Encuadernación
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Número de páginas
370
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780821833124: Topics in Optimal Transportation (Graduate Studies in Mathematics)

Edición Destacada

ISBN 10:  082183312X ISBN 13:  9780821833124
Editorial: American Mathematical Society, 2003
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