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100301s2009 gw | s |||| 0|eng d |
| 020 |
# |
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|a 9783540710509
|9 978-3-540-71050-9
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| 024 |
7 |
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|a 10.1007/978-3-540-71050-9
|2 doi
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|a QA370-380
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|a PBKJ
|2 bicssc
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|a MAT007000
|2 bisacsh
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|a 515.353
|2 23
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|a Villani, Cďric.
|e author.
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| 245 |
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|a Optimal Transport
|b Old and New /
|c by Cďric Villani.
|h [electronic resource] :
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2009.
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| 300 |
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|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
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|a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
|v 338
|x 0072-7830 ;
|
| 505 |
0 |
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|a Introduction -- Qualitative Description of Optimal Transport -- Optimal Transport and Riemannian Geometry -- Synthetic Treatment of Ricci Curvature -- Conclusions and Open Problems.
|
| 520 |
# |
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|a At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book<U+0019>s value as a most welcome reference text on this subject.
|
| 650 |
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|a Mathematics.
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| 650 |
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|a Differential equations, partial.
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| 650 |
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|a Global differential geometry.
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| 650 |
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|a Mathematical optimization.
|
| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Partial Differential Equations.
|
| 650 |
2 |
4 |
|a Calculus of Variations and Optimal Control; Optimization.
|
| 650 |
2 |
4 |
|a Differential Geometry.
|
| 710 |
2 |
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|a SpringerLink (Online service)
|
| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783540710493
|
| 830 |
# |
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|a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
|v 338
|x 0072-7830 ;
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-71050-9
|
| 912 |
# |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|