Advanced Calculus: Differential Calculus and Stokes' Theorem De Gruyter Textbook | 1 Edition

Details about Advanced Calculus: Differential Calculus and Stokes' Theorem De Gruyter Textbook:

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