Advanced Calculus : Differential Calculus and Stokes' Theorem / Pietro-Luciano Buono.
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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
Also available in printed form ISBN 9783110438215
Electronic reproduction. Askews and Holts. Mode of access: World Wide Web.
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