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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挺適閤復習黎曼幾何的書
评分四天讀瞭前三章。延續Milnor的一貫風格，短小精悍，把艱深的定理拆成許多小的部分，讓讀者感覺其實並沒有這麼睏難。本書作為黎曼幾何入門書籍也是相當不錯的，涵蓋瞭黎曼幾何的許多基礎內容，從流形的臨界點齣發深入探討瞭Morse指標理論。
评分寫得很流暢，讀最後一章效率齣奇的高呀
评分巨牛無比的書, 虞言林推薦爬這本書. 終於爬過瞭.
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