Topics in optimal transportation (Record no. 1308453)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02118nam a2200241 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250403170841.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250403b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470425623 |
| 037 ## - SOURCE OF ACQUISITION | |
| Terms of availability | Textual |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | RTL |
| Transcribing agency | RTL |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | X4 P3 |
| Assigning agency | RTL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Villani, Cedric. |
| 9 (RLIN) | 459232 |
| 245 ## - TITLE STATEMENT | |
| Title | Topics in optimal transportation |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Providence |
| Name of publisher, distributor, etc. | American Mathematical Society |
| Date of publication, distribution, etc. | 2003 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 370p. |
| Other physical details | Includes bibliography and index |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Volume/sequential designation | Vol. 58 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics |
| 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 | |
| Topical term or geographic name entry element | Monge-Ampère equations |
| 9 (RLIN) | 751828 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Transportation problems (Programming) |
| 9 (RLIN) | 751829 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textbook |
| Classification part | X4 P3 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Ratan Tata Library | Ratan Tata Library | 2025-04-03 | X4 P3 | RT1585222 | 2025-04-03 | 2025-04-03 | Textbook |