Morse Theory pdf epub mobi txt 電子書 下載 2024


Morse Theory

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[美]John W.Milnor
Princeton University Press
1963-05-01
160
USD 49.50
Paperback
Annals of Mathematics Studies
9780691080086

圖書標籤: 數學  morse_theory  拓撲學  米爾諾  幾何  幾何與拓撲  流形上的分析  拓撲   


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发表于2024-12-23

Morse Theory epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Morse Theory epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Morse Theory pdf epub mobi txt 電子書 下載 2024



圖書描述

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.

Morse Theory 下載 mobi epub pdf txt 電子書

著者簡介


圖書目錄


Morse Theory pdf epub mobi txt 電子書 下載
想要找書就要到 小哈圖書下載中心
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

用戶評價

評分

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。

評分

挺適閤復習黎曼幾何的書

評分

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。

評分

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。

評分

怕是沒幾個人寫書可以入Milnor這般清明如水

讀後感

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