FREE SHIPPING

on all orders of $59 or more

$4 OFF your purchase of $60 or more!
Use coupon code SUNDAY in checkout.

Topics in Optimal Transportation

, by
Topics in Optimal Transportation by Villani, Cedric, 9780821833124
Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
  • ISBN: 9780821833124 | 082183312X
  • Cover: Hardcover
  • Copyright: 4/1/2003
  • Rent Textbook

    (Recommended)

    $63.96
     
    Term
    Due
    Price
  • Buy New Textbook

    Usually Ships in 3-5 Business Days

    $65.59
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.

You might also enjoy...



Please wait while the item is added to your bag...