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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." Full Product DetailsAuthor: Liviu I. NicolaescuPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Dimensions: Width: 15.60cm , Height: 1.30cm , Length: 23.40cm Weight: 0.820kg ISBN: 9780387495095ISBN 10: 0387495096 Pages: 256 Publication Date: 01 February 2007 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Out of Print Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsPreface.- Notations and conventions.- Morse functions.- The topology of Morse functions.- Applications.- Basics of complex Morse theory.- Exercises and solutions.- References.- Index.ReviewsFrom 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. a ] Undergraduates will see that the foundations of this advanced topic build directly on a(n honest) course in multivariable calculus a ] . 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 a ] . will be useful for mathematicians of various levels, including graduate students and researchers. (Michael Farber, Zentralblatt MATH, Vol. 1131, 2008) <p> Nicolaescua (TM)s book starts with the basics of Morse theory over the reals a ] . The discussion continuously presents some really nice and well chosen applications of the theory, and finally lets the reader see, that the whole theory can go on to complex, where the set of regular values, that is disconnected by nature over the reals, becomes connected. a ] This book is warmly recommended for interested graduate students and researcher a ] . (ArpAd Kurusa, Acta Scientiarum Mathematicarum, Vol. 74, 2008) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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