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, MA : Birkhäuser Boston, 2006.
• Θέματα: 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...

Πίνακας περιεχομένων:

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