Liviu Nicolaescu's An Invitation to Morse Theory (Universitext) PDF

Liviu Nicolaescu's An Invitation to Morse Theory (Universitext) PDF

By Liviu Nicolaescu

This self-contained remedy of Morse thought specializes in purposes and is meant for a graduate path on differential or algebraic topology. The e-book is split into 3 conceptually unique elements. the 1st half comprises the principles of Morse thought (over the reals). the second one half involves purposes of Morse concept over the reals, whereas the final half describes the fundamentals and a few purposes of advanced Morse thought, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues equivalent to Morse-Smale flows, min-max concept, second maps and equivariant cohomology, and intricate Morse conception. The exposition is improved with examples, difficulties, and illustrations, and may be of curiosity to graduate scholars in addition to researchers. The reader is anticipated to have a few familiarity with cohomology idea 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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