A Geometric Approach to Differential Forms

• Κύριος συγγραφέας: Bachman, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2012.
• Έκδοση: Second.
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.