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Volume 3382009
Optimal TransportOld and NewAuthors:
- Cédric Villani
- …show all 1hide
ISBN: 978-3-540-71049-3 (Print) 978-3-540-71050-9 (Online)
Old and New
Series: Grundlehren der mathematischen Wissenschaften, Vol. 338
Villani, Cédric
2009, XXII, 978 p. 33 illus.
ISBN 978-3-540-71050-9
Immediately available per PDF-download (no DRM, watermarked)
About this book
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’s value as a most welcome reference text on this subject.
Authors & Editors
Cédric Villani has been Professor at the Ecole Normale Supérieure de Lyon since September 2000 and a junior member of the Institut Universitaire de France since 2006. He was awarded the EMS Prize of the European Mathematical Society in July 2008.
- Reviews
From the reviews:
"The book is aimed to old and new problems of optimal transport. … This meticulous work is based on very large bibliography … that is converted into a very valuable monograph that presents many statements and theorems written specifically for this approach, complete and self-contained proofs of the most important results, and extensive bibliographical notes." (Mihail Voicu, Zentralblatt MATH, Vol. 1156, 2009)
“This book wins the challenge to give a new and broad perspective on the multifacet topic of the optimal mass transport. … Besides extensive and accurate references therein the reader will find comments on related questions barely touched upon in the main text as well as lively presentations on how ideas and results have developed. This book should prove useful both to the expert and to the beginner looking for a reference text on the subject.” (Dario Cordero Erausquin, Mathematical Reviews, Issue 2010 f)
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