Advanced Calculus: Differential Calculus and Stokes' Theorem

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