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

By Liviu Nicolaescu

This self-contained therapy of Morse conception specializes in functions and is meant for a graduate direction on differential or algebraic topology. The ebook is split into 3 conceptually exact components. the 1st half comprises the principles of Morse idea (over the reals). the second one half involves functions of Morse idea over the reals, whereas the final half describes the fundamentals and a few purposes of advanced Morse idea, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues akin to Morse-Smale flows, min-max conception, second maps and equivariant cohomology, and intricate Morse conception. The exposition is greater 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 soft 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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