Advanced Calculus: Differential Calculus and Stokes' Theorem

By Pietro-Luciano Buono

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

• Format: Paperback
• Language: English
• ISBN: 3110438216
• ISBN13: 9783110438215
• Release Date: September 2016
• Publisher: de Gruyter
• Length: 313 Pages
• Weight: 1.11 lbs.
• Dimensions: 0.7" x 6.7" x 9.6"
• Grade Range: Postsecondary