Download Advanced Calculus by Pietro-Luciano Buono (.PDF)

Advanced Calculus: Differential Calculus and Stokes’ Theorem (De Gruyter Textbook) by Pietro-Luciano Buono
Requirements: .PDF reader, 11.2 MB
Overview: 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
Genre: Non-Fiction > Educational

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