Richard s. Millman

Outreach Professor of Mathematics

Phone: (859)257-6821      E-mail: millman@ms.uky.edu

Purpose of the Course: 

To introduce those attending to the algebraic topology of manifolds using both the DeRham complex (differential forms) and its cohomology and also singular cohomology.  The DeRham Theorem that the two are the same is the focal point of the course. There will be sampling of the interconnection between geometry, topology, and analysis (Laplace operator), some in detail and some more expository.

MA 654

Introduction to Smooth Manifolds,

John M. Lee

 

Publisher: Springer

ISBN: 0387954481

Textbook:

Text Box: M.C. Escher 
Möbius Strip II 1963