Y. Matsumoto, "An Introduction to Morse Theory"

Am erican Math ematical Soci ety | 2001 | ISBN: 0821810227 | 219 pages | PDF | 9,7 MB

In a very broad sense, "spaces" are objects of study in geometry, and "functions" are objects of study in analysis. There are, however, deep relations…

Stratified Morse Theory By Mark Goresky, Robert MacPherson

Publisher: Spr.ing.er 1988 | 272 Pages | ISBN: 3540173005 , 0387173005 | DJVU | 3 MB

Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey -…

Circle-Valued Morse Theory (de Gruyter Studies in Mathematics 32) by Andrei Pajitnov (Repost)

Publisher: Walter de Gruyter; illustrated edition (December 30, 2006) | ISBN: 3110158078 | Pages: 454 | PDF | 2.26 MB

In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a…

K.C. Chang, "Infinite Dimensional Morse Theory"

Birkhäuser Boston | 1992 | ISBN: 0817634517 | 350 pages | PDF | 14,7 MB

This advanced graduate level monograph is the first to present a wide variety of critical point theorems in a unified framework. The author not only employs Morse theory as a…

Alberto Abbondandolo, "Morse Theory for Hamiltonian Systems"

Chapman & Hall/CRC | 2001 | ISBN: 1584882026 | 208 pages | PDF | 5,3 MB

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to…

Liviu Nicolaescu, “An Invitation to Morse Theory”

Springer | 2007 | ISBN: 0387495096 | Pages: 241 | PDF | 2 MB

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…

Andrei V. Pajitnov “Circle-Valued Morse Theory"

Walter de Gruyter | 2006-12-30 | ISBN: 3110158078 | 454 pages | PDF | 2,4 Mb

In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold.…

Liviu Nicolaescu - An Invitation to Morse Theory

Sp-ring--er | 2007 | ISBN: 0387495096 | Pages: 241 | PDF | 5.03 MB

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.…

Morse Theory (Annals of Mathematic Studies AM-51) By John Milnor

Publisher: Princeton University Press 1963 | 160 Pages | ISBN: 0691080089 | PDF | 3 MB

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…