Introduction to Differential Manifolds

• Main Author: Lang, Serge (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2002.
• Edition: Second Edition.
• Series: Universitext
• Subjects: Mathematics.; Topology.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

"This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of diffe...

Table of Contents:

• Differential Calculus
• Manifolds
• Vector Bundles
• Vector Fields and Differential Equations
• Operations on Vector Fields and Differential Forms
• The Theorem of Frobenius
• Metrics
• Integration of Differential Forms
• Stokes’ Theorem
• Applications of Stokes’ Theorem.