02718nam 2200589 450 991046643280332120200520144314.03-11-042911-X10.1515/9783110438222(CKB)3710000000865117(MiAaPQ)EBC4691415(DE-B1597)452446(OCoLC)959150132(OCoLC)960014013(DE-B1597)9783110438222(Au-PeEL)EBL4691415(CaPaEBR)ebr11268045(CaONFJC)MIL956109(EXLCZ)99371000000086511720161010h20162016 uy 0engurcnu||||||||rdacontentrdamediardacarrierAdvanced calculus differential calculus and Stokes' theorem /Pietro-Luciano BuonoBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2016.©20161 online resource (314 pages) illustrationsDe Gruyter Graduate3-11-043822-4 3-11-043821-6 Includes bibliographical references and index.Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Calculus of Vector Functions -- 3. Tangent Spaces and 1-forms -- 4. Line Integrals -- 5. Differential Calculus of Mappings -- 6. Applications of Differential Calculus -- 7. Double and Triple Integrals -- 8. Wedge Products and Exterior Derivatives -- 9. Integration of Forms -- 10. Stokes' Theorem and Applications -- Bibliography -- IndexThis 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 De Gruyter graduate.Differential calculusMathematical analysisStokes' theoremElectronic books.Differential calculus.Mathematical analysis.Stokes' theorem.515/.33Buono Pietro-Luciano1033729MiAaPQMiAaPQMiAaPQBOOK9910466432803321Advanced calculus2452422UNINA