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 ...
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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.
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Add this copy of Topics in Optimal Transportation to cart. $74.50, good condition, Sold by Second Story Books rated 4.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 2016 by American Mathematical Society.
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Book. Octavo, 378 pages. In Very Good minus condition. Yellow spine with blue text. Boards have scratching to both covers. Textblock clean. Shelved ND-E. 1378081. FP New Rockville Stock.
Add this copy of Topics in Optimal Transportation (Graduate Studies in to cart. $156.30, very good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2003 by American Mathematical Society.
Add this copy of Topics in Optimal Transportation (Graduate Studies in to cart. $225.77, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2003 by Amer Mathematical Society.
Add this copy of Topics in Optimal Transportation (Graduate Studies in to cart. $241.51, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2003 by Amer Mathematical Society.
