By Pietro-Luciano Buono

This textbook deals a high-level advent to multi-variable differential calculus. Differential varieties are brought incrementally within the narrative, finally resulting in a unified therapy of Green’s, Stokes’ and Gauss’ theorems. additionally, the presentation deals a usual path to differential geometry.

Contents:
Calculus of Vector Functions
Tangent areas and 1-forms
Line Integrals
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge items and external Derivatives
Integration of Forms
Stokes’ Theorem and functions

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