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.
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http://cedricvillani.org/wp-content/uploads/2012/08/preprint-1.pdf
评分豆瓣无所不知啊，以后可以用一用了。对于这本书，只能说，villani得菲尔兹奖还是有道理的。只是有点儿可惜，最后没能跟着大神读博士。
评分Villani V5
评分证明基本上都是self-contained，不过后面都是在讲黎曼几何了，对于只想了解下最优传输在机器学习或是经济学的应用而没什么兴趣体验一下数学之美的人来说，这书显然不应该作为首选。。
评分证明基本上都是self-contained，不过后面都是在讲黎曼几何了，对于只想了解下最优传输在机器学习或是经济学的应用而没什么兴趣体验一下数学之美的人来说，这书显然不应该作为首选。。
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