Overview

This book offers readers a taste of the unreasonable effectiveness of Morse theory. It covers many of the most important topics in Morse theory along with applications. The book details topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. In addition, many examples, problems, and illustrations further enhance the value of this useful introduction to Morse Theory.

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9780387517193

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<p>From the reviews: <p> Morse theory, a tool within differential topology, strategically studies a given abstract smooth manifold by first imposing on it a nearly arbitrary numerical function, and then cleverly extracting from it purely topological information. Undergraduates will see that the foundations of this advanced topic build directly on a(n honest) course in multivariable calculus . Primarily for mathematics students. Summing Up: Recommended. Upper-division undergraduates through professionals. (D. V. Feldman, CHOICE, Vol. 45 (6), February, 2008)<p> The book is a nicely written self-contained introduction to Morse theory . will be useful for mathematicians of various levels, including graduate students and researchers. (Michael Farber, Zentralblatt MATH, Vol. 1131, 2008)<p> Nicolaescu 's book starts with the basics of Morse theory over the reals . The discussion continuously presents some really nice and well chosen applications of the theory, and finally lets the reader

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