Advanced Calculus : Differential Calculus and Stokes' Theorem
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| Title: | Advanced Calculus : Differential Calculus and Stokes' Theorem |
|---|---|
| Description: | 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 |
| Authors: | Pietro-Luciano Buono |
| Resource Type: | eBook. |
| Subjects: | Stokes' theorem, Differential calculus, Mathematical analysis |
| Categories: | MATHEMATICS / Calculus, MATHEMATICS / Geometry / Differential, MATHEMATICS / Vector Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9783110438215 9783110438222 9783110429114 |
