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An Invitation to Morse Theory (Universitext)

Liviu Nicolaescu




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 | #4277890 in Books |  2009-02-22 | Original language:English | PDF # 1 |  9.25 x.58 x6.10l,.79 | File type: PDF | 256 pages

||8 of 8 people found the following review helpful.| Nice selection of topics, but not well-written.|By Tom Braden|I was excited to use this book for a reading course with some geometrically-minded graduate students. While I still love the exposition in Milnor's little book, I didn't want to get into the topology of loop spaces, which is Milnor's main application after he proves the basic facts about Morse theory. The further t| |From the reviews: "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.

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.



You can specify the type of files you want, for your device.An Invitation to Morse Theory (Universitext)   |  Liviu Nicolaescu.Not only was the story interesting, engaging and relatable, it also teaches lessons.

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