Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook)

Buch 17 von 51: De Gruyter Textbook

Buono, Pietro-Luciano

 
9783110438215: Advanced Calculus: Differential Calculus and Stokes' Theorem (De Gruyter Textbook)

Inhaltsangabe

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

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Über die Autorin bzw. den Autor

Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.

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