Titolo: Topics in Optimal Transportation (Graduate Studies in Mathematics, Vol. 58)
Editore: American Mathematical Society (edition UK ed.)
Data di pubblicazione: 2003
Lingua: Inglese
ISBN 10: 082183312X
ISBN 13: 9780821833124
Rilegatura: Hardcover
Edizione: UK ed.
Condizione: Very Good

Descrizione articolo

Riassunto

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

BooksRun helps to save money on textbooks. We are committed to providing each customer with the highest standard of customer service. Please pay close attention to the description of the book and its condition you are ordering. If you have any questions or issues, please make sure to contact us first so we could resolve them. All orders are shipped on the same or the next business day. It usually takes 1 to 5 business days to receive your item if you choose expedited shipping. All orders submitted are eligible for a return within 30 days after the delivery. Thanks for shopping with us!