Download Advanced Calculus: Differential Calculus and Stokes' Theorem by Pietro-Luciano Buono PDF

By Pietro-Luciano Buono

This textbook deals a high-level creation to multi-variable differential calculus. Differential types are brought incrementally within the narrative, ultimately resulting in a unified remedy of Green’s, Stokes’ and Gauss’ theorems. additionally, the presentation bargains a typical path to differential geometry.

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 purposes

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