This textbook offers a high-level introduction to multi-variable Differential calculus.
Contents: Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge.
Furthermore, the presentation offers a natural route to Differential geometry.
Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green\'s, Stokes\' and Gauss\' theorems.
This textbook offers a high-level introduction to multi-variable Differential calculus