AMS Chelsea Publishing 1938; 116 pp; hardcover Reprint/Revision History: third printing 1971 ISBN10: 0828400490 ISBN13: 9780828400497 List Price: US$23 Member Price: US$20.70 Order Code: CHEL/49
 This is an excellent account of what has now become known as "Morse Theory", written not long after the appearance of the seminal work by Morse. In the interest of simplicity and readability, the authors have not attempted to give the most general versions of the theorems. In one hundred pages, the reader is engagingly introduced to one of the most significant developments in mathematics in the first half of the 20th Century. The basic topological aspects and applications of Morse Theory are covered in the first chapter. The introduction includes an explanation of the familiar special case of the torus. The later two chapters cover the analysis that is used to establish the general results. In particular, the last chapter focuses mainly on the variational problem of geodesics in a Riemannian manifold joining two given points. This analysis then leads to results such as the Morse inequality and conditions for the equality on manifolds with a Riemannian metric. Table of Contents  Zusammenhangszahlen und Typenzahlen
 Typenzahlen stationärer Punkte
 Variationsprobleme auf geschlossenen Mannigfaltigkeiten
 Anhang: Stationäre Punkte auf geschlossenen Mannigfaltigkeiten
 Anmerkungen
 Alphabetisches Sachverzeichnis
