Advanced Calculus: Differential Calculus and Stokes' Theorem

This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green's, Stokes' and Gauss' theorems. Furthermore, the presentation offers a natural route to differential geometry.

Contents:
Calculus of Vector Functions
Tangent Spaces and 1-forms
Line Integrals
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge Products and Exterior Derivatives
Integration of Forms
Stokes' Theorem and Applications

Author: Pietro-Luciano Buono
Binding Type: Paperback
Publisher: de Gruyter
Published: 09/12/2016
Series: de Gruyter Textbook
Pages: 313
Weight: 1.11lbs
Size: 9.61h x 6.69w x 0.66d
ISBN: 9783110438215