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
Buono
Advanced Calculus jetzt bestellen!
Zielgruppe
Students (Major or Minor) and Lecturers in Mathematics.
Weitere Infos & Material
Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.