A Geometric Approach to Differential Forms

• Main Author: Bachman, David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of real variables.; Differential geometry.; Global Analysis and Analysis on Manifolds.; Real Functions.; Differential Geometry.

The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the...

Table of Contents:

• Multivariable Calculus
• Parameterizations
• to Forms
• Forms
• Differential Forms
• Differentiation of Forms
• Stokes’ Theorem
• Applications
• Manifolds.