Advanced calculus

Differential Calculus and Stokes' Theorem

Autori

• Pietro-Luciano Buono

Parametri

• Matematica

Maggiori informazioni sul libro

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

Lingua: Inglese

Pubblicato: 2016