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

By Liviu Nicolaescu

ISBN-10: 0387495096

ISBN-13: 9780387495095

This self-contained therapy of Morse concept makes a speciality of functions and is meant for a graduate path on differential or algebraic topology. The ebook is split into 3 conceptually specific components. the 1st half includes the principles of Morse concept (over the reals). the second one half involves purposes of Morse thought over the reals, whereas the final half describes the fundamentals and a few purposes of complicated Morse concept, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate subject matters similar to Morse-Smale flows, min-max conception, second maps and equivariant cohomology, and intricate Morse thought. 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 conception and with the differential and crucial calculus on tender manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at college of Notre Dame.

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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

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