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| fixed length control field |
01987nam a2200217 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20190129154327.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
190108b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9781470425623 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IIT Kanpur |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.72 |
| Item number |
V712t |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Villani, Cedric |
| 245 ## - TITLE STATEMENT |
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| Title |
Topics in optimal transportation |
| Statement of responsibility, etc |
Cedric Villani |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication |
Providence |
| Name of publisher |
American Mathematical Society |
| Year of publication |
2003 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
xiv, 370p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Graduate studies in mathematics; v.58 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Transportation problems (Programming) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Monge-Ampere equations |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
