EAN: 9783110438215

TEXTBOOK ADVANCED CALCULUS - PIETRO-LUCIANO B...

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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