Wow! eBook
Topics in Optimal Transportation Reprint Edition
Author(s): Cedric Villani (author) (Author)
- Publisher: American Mathematical Society
- Publication Date: 30 Mar. 2003
- Edition: Reprint
- Language: English
- Print length: 370 pages
- ISBN-10: 1470467267
- ISBN-13: 9781470467265
Book Description
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.
Editorial Reviews
Review
“”Cedric Villani’s book is a lucid and very readable documentation of the tremendous recent analytic progress in ‘optimal mass transportation’ theory and of its diverse and unexpected applications in optimization, nonlinear PDE, geometry, and mathematical physics.”” ―Lawrence C. Evans, University of California at Berkeley
“”The book is clearly written and well organized and can be warmly recommended as an introductory text to this multidisciplinary area of research, both pure and applied – the mass transportation problem.”” ―Studia Universitatis Babes-BolyaiMathematica
“”This is a very interesting book: it 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.”” ―Olaf Ninnemann for Zentralblatt MATH
