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By John Milnor

One of the main pointed out books in arithmetic, John Milnor's exposition of Morse idea has been crucial publication at the topic for greater than 40 years. Morse conception used to be built within the Twenties through mathematician Marston Morse. (Morse was once at the college of the Institute for complex examine, and Princeton released his Topological equipment within the thought of services of a posh Variable within the Annals of arithmetic reports sequence in 1947.) One classical program of Morse thought contains the try and comprehend, with simply constrained info, the large-scale constitution of an item. this sort of challenge happens in mathematical physics, dynamic platforms, and mechanical engineering. Morse thought has acquired a lot cognizance within the final 20 years because of a recognized paper within which theoretical physicist Edward Witten relates Morse concept to quantum box theory.

Milnor was once presented the Fields Medal (the mathematical similar of a Nobel Prize) in 1962 for his paintings in differential topology. He has due to the fact that bought the nationwide Medal of technology (1967) and the Steele Prize from the yankee Mathematical Society two times (1982 and 2004) in attractiveness of his causes of mathematical thoughts throughout a variety of scienti.c disciplines. The quotation reads, "The word elegant attractiveness isn't linked to mathematical exposition, however it applies to all of Milnor's writings. studying his books, one is struck with the benefit with which the topic is unfolding and it simply turns into obvious after re.ection that this ease is the mark of a master."

Milnor has released 5 books with Princeton collage Press.

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