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

Book 17 of 51: De Gruyter Textbook

Buono, Pietro-Luciano

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

Synopsis

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 FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes' Theorem and Applications

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About the Author

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

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