An Invitation to Morse Theory

• Κύριος συγγραφέας: Nicolaescu, Liviu (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Σειρά: Universitext
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Complex manifolds.; Global Analysis and Analysis on Manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part con...

Πίνακας περιεχομένων:

• Morse Functions
• The Topology of Morse Functions
• Applications
• Basics of Complex Morse Theory
• Exercises and Solutions.