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
- ISBN10 3110438224
- ISBN13 9783110438222
- Publish Date 12 September 2016
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 313
- Language English
- URL https://degruyter.com/isbn/9783110438222