One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his "Topological Methods in the Theory of Functions of a Complex Variable" in the "Annals of Mathematics Studies" series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scientific.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master." Milnor has published five books with Princeton University Press.
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Milnor的書都是值得細細地讀的。前麵貌似不難，但是能完全讀通後麵的Bott周期性定理也不是一件容易的事。
评分寫得很流暢，讀最後一章效率齣奇的高呀
评分真神作也！為什麼我沒有早點讀這本書！後麵的Bott Periodicity部分迴味無窮啊。
评分傳說中的零基礎書吧……基本selfcontained，milnor真是大神啊
评分學習數理經濟學時迴過頭再翻瞭一遍，Milnor依舊是我大學偶像(僅次於Smale，僅僅次於Grothendieck)。微分拓撲在經濟學中的運用貢獻齣過諾貝爾奬，但是按照越漂亮的理論越不實用的規律，不知道現在還有沒有人拿這一套去做一般均衡理論。
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