Differential topology
Guillemin, Victor
- Hyderabad Universities press 2017
- xviii, 221 p.
Table of Contents:
1.Manifolds and smooth maps 2.Transversality and Intersection 3.Oriented intersection theory 4.Integration on manifolds
Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea-transversality-the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main.
9781470437275
Differential topology Oriented intersection theory Integration on manifolds