This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also

Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However,

This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy t

This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years.