SEARCH
Filter by:
Audio
Video

 

Pits, Peaks, and Passes: A Lecture on Critical Point Theory, Parts 1 and 2

Professor Marston Morse, with models and animations, derives the simple formula (which is the beginning of Morse theory) relating the number of pits, peaks, and passes on an island with a single coastline.

Order by
 
Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part I) [Composite]
Source:Mathematical Association of America Records
Professor Marston Morse uses models and animations to derive the simple formula relating the number of pits, peaks, and passes on an island with a single coastline.
Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part II) [Composite]
Source:Mathematical Association of America Records
In Part II, in Professor Morse analyzes the critical points of continuous functions over compact, orientable 3-manifolds. The degree of stability in n-dimensions is defined and applications to electrodynamics are presented, as well as an approach to the Poincaré conjecture.