A Geometric Approach to Differential Forms

• Main Author: Bachman, David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Edition: Second.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of real variables.; Differential geometry.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Real Functions.

"[The author's] idea is to use geometric intuition to alleviate some of the algebraic difficulties...The emphasis is on understanding rather than on detailed derivations and proofs. This is definitely the right approach in a course at this level."   —MAA Reviews (Review of First Editi...

Table of Contents:

• Preface
• Guide to the Reader.-Multivariable Calculus
• Parameterizations
• Introduction to Forms
• Forms
• Differential Forms
• Differentiation of Forms
• Stokes' Theorem
• Applications
• Manifolds
• Non-linear Forms
• References
• Index
• Solutions.