Download e-book for iPad: An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

By Liviu Nicolaescu

ISBN-10: 0387495096

ISBN-13: 9780387495095

This self-contained remedy of Morse idea specializes in functions and is meant for a graduate direction on differential or algebraic topology. The ebook is split into 3 conceptually specified elements. the 1st half comprises the rules of Morse idea (over the reals). the second one half comprises functions of Morse conception over the reals, whereas the final half describes the fundamentals and a few functions of complicated Morse thought, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate subject matters equivalent to Morse-Smale flows, min-max conception, second maps and equivariant cohomology, and complicated Morse conception. The exposition is superior with examples, difficulties, and illustrations, and should be of curiosity to graduate scholars in addition to researchers. The reader is predicted to have a few familiarity with cohomology thought and with the differential and vital calculus on tender manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at collage of Notre Dame.

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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

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