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

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By Liviu Nicolaescu

This self-contained therapy of Morse conception makes a speciality of purposes and is meant for a graduate direction on differential or algebraic topology. The ebook is split into 3 conceptually certain components. the 1st half includes the principles of Morse concept (over the reals). the second one half contains purposes 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 akin to Morse-Smale flows, min-max conception, second maps and equivariant cohomology, and intricate Morse idea. 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 thought and with the differential and necessary calculus on soft 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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