Advanced Calculus Differential Calculus And Stokes Theorem(1st Edition)
Authors:
Pietro Luciano Buono
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Book details
ISBN: 3110438216, 978-3110438215
Book publisher: De Gruyter
Book Summary: 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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