Morse Theory by John Milnor

Morse Theory by John Milnor

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 scienti.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.

"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"
"John Willard Milnor, Winner of the 2011 Leroy PSteele Prize for Lifetime Achievement, American Mathematical Society"

At SUNY Stony Brook, John Milnor is a Professor of Mathematics and Co-Director of the Center for Mathematical Sciences. Topology from a Differential Perspective, Singular Points of Complex Hypersurfaces, Morse Theory, Algebraic K-Theory, Characteristic Classes (with James Stasheff), and Lectures on the H-Cobordism Theorem (Princeton) are among his works.

SKU	Nicht verfügbar
ISBN 13	9780691080086
ISBN 10	0691080089
Titel	Morse Theory
Autor	John Milnor
Serie	Annals Of Mathematics Studies
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Princeton University Press
Erscheinungsjahr	1963-05-21
Seitenanzahl	168
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar