An Invitation to Morse Theory

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. The second part consists of applicat...

Full description

Bibliographic Details
Main Author: Nicolaescu, Liviu
Format: eBook
Language:English
Published: New York, NY Springer New York 2011, 2011
Edition:2nd ed. 2011
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Notations and Conventions
  • 1 Morse Functions
  • 2 The Topology of Morse Functions
  • 3 Applications
  • 4 Morse-Smale Flows and Whitney Stratifications
  • 5 Basics of Complex Morse Theory
  • 6 Exercises and Solutions
  • References
  • Index