By John Milnor

One of the main mentioned books in arithmetic, John Milnor's exposition of Morse conception has been crucial e-book at the topic for greater than 40 years. Morse thought was once built within the Twenties by means of 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 fancy Variable* within the Annals of arithmetic experiences sequence in 1947.) One classical program of Morse concept comprises the try to comprehend, with purely constrained info, the large-scale constitution of an item. this sort of challenge happens in mathematical physics, dynamic structures, and mechanical engineering. Morse idea has got a lot realization within the final 20 years because of a recognized paper during which theoretical physicist Edward Witten relates Morse idea to quantum box theory.

Milnor was once provided the Fields Medal (the mathematical identical of a Nobel Prize) in 1962 for his paintings in differential topology. He has considering got the nationwide Medal of technological know-how (1967) and the Steele Prize from the yank Mathematical Society two times (1982 and 2004) in popularity of his causes of mathematical thoughts throughout a variety of scienti.c disciplines. The quotation reads, "The word elegant beauty 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 basically turns into obvious after re.ection that this ease is the mark of a master.?

Milnor has released 5 books with Princeton collage Press.