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101 0 $aeng
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182   $2rdamedia
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200 10$aAdvanced calculus $edifferential calculus and Stokes' theorem /$fPietro-Luciano Buono
210  1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016.
210  4$d©2016
215   $a1 online resource (314 pages) $cillustrations
225 1 $aDe Gruyter Graduate
311   $a3-11-043822-4 
311   $a3-11-043821-6 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tContents -- $tPreface -- $t1. Introduction -- $t2. Calculus of Vector Functions -- $t3. Tangent Spaces and 1-forms -- $t4. Line Integrals -- $t5. Differential Calculus of Mappings -- $t6. Applications of Differential Calculus -- $t7. Double and Triple Integrals -- $t8. Wedge Products and Exterior Derivatives -- $t9. Integration of Forms -- $t10. Stokes' Theorem and Applications -- $tBibliography -- $tIndex
330   $aThis textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green's, Stokes' and Gauss' theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents:Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes' Theorem and Applications 
410  0$aDe Gruyter graduate.
606   $aDifferential calculus
606   $aMathematical analysis
606   $aStokes' theorem
608   $aElectronic books.
615  0$aDifferential calculus.
615  0$aMathematical analysis.
615  0$aStokes' theorem.
676   $a515/.33
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996   $aAdvanced calculus$92452422
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