Get An Invitation to Morse Theory (Universitext) PDF

By Liviu Nicolaescu

This self-contained therapy of Morse concept specializes in functions and is meant for a graduate path on differential or algebraic topology. The ebook is split into 3 conceptually specified elements. the 1st half comprises the principles of Morse thought (over the reals). the second one half includes functions of Morse idea over the reals, whereas the final half describes the fundamentals and a few functions of complicated Morse idea, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate themes similar to Morse-Smale flows, min-max concept, second maps and equivariant cohomology, and complicated Morse idea. The exposition is more suitable with examples, difficulties, and illustrations, and may be of curiosity to graduate scholars in addition to researchers. The reader is predicted to have a few familiarity with cohomology idea and with the differential and indispensable calculus on gentle 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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