Advanced Calculus: Differential Calculus and Stokes' Theorem
Pietro-Luciano Buono
Sep 2016 · Walter de Gruyter GmbH & Co KG
Ebook
313
Pages
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About this ebook
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
About the author
Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.
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