Topics in Optimal Transportation is popular PDF and ePub book, written by Cédric Villani in 2021-08-25, it is a fantastic choice for those who relish reading online the Education genre. Let's immerse ourselves in this engaging Education book by exploring the summary and details provided below. Remember, Topics in Optimal Transportation can be Read Online from any device for your convenience.
Topics in Optimal Transportation Book PDF Summary
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.
Detail Book of Topics in Optimal Transportation PDF
- Author : Cédric Villani
- Release : 25 August 2021
- Publisher : American Mathematical Soc.
- ISBN : 9781470467265
- Genre : Education
- Total Page : 370 pages
- Language : English
- PDF File Size : 9,8 Mb
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