An Introduction to Differential Manifolds

• Main Author: Lafontaine, Jacques (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Subjects: Mathematics.; Differential geometry.; Differential Geometry.

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology...

Table of Contents:

• Differential Calculus
• Manifolds: The Basics
• From Local to Global
• Lie Groups
• Differential Forms
• Integration and Applications
• Cohomology and Degree Theory
• Euler-Poincaré and Gauss-Bonnet.