By Pietro-Luciano Buono
This textbook bargains a high-level creation to multi-variable differential calculus. Differential types are brought incrementally within the narrative, finally resulting in a unified remedy of Green’s, Stokes’ and Gauss’ theorems. in addition, the presentation bargains a ordinary path to differential geometry.
Calculus of Vector Functions
Tangent areas and 1-forms
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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Additional resources for Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook)
Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook) by Pietro-Luciano Buono