LEADER 02684nam 2200577 450 001 9910798611603321 005 20230808195508.0 010 $a3-11-042911-X 024 7 $a10.1515/9783110438222 035 $a(CKB)3710000000865117 035 $a(MiAaPQ)EBC4691415 035 $a(DE-B1597)452446 035 $a(OCoLC)959150132 035 $a(OCoLC)960014013 035 $a(DE-B1597)9783110438222 035 $a(Au-PeEL)EBL4691415 035 $a(CaPaEBR)ebr11268045 035 $a(CaONFJC)MIL956109 035 $a(EXLCZ)993710000000865117 100 $a20161010h20162016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aAdvanced calculus $edifferential calculus and Stokes' theorem /$fPietro-Luciano Buono 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016. 210 4$dİ2016 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 $aStokes' theorem 615 0$aDifferential calculus. 615 0$aMathematical analysis. 615 0$aStokes' theorem. 676 $a515/.33 700 $aBuono$b Pietro-Luciano$01545485 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910798611603321 996 $aAdvanced calculus$93800438 997 $aUNINA LEADER 02698oas 2200949 a 450 001 9910131738903321 005 20260218110838.0 011 $a1996-7241 035 $a(DE-599)ZDB2127407-1 035 $a(OCoLC)54105551 035 $a(CONSER) 2004698525 035 $a(CKB)110978978550043 035 $a(DE-599)2127407-1 035 $a(EXLCZ)99110978978550043 100 $a20040129a19839999 sy 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAsian development review 210 $aManila, Philippines $cAsian Development Bank 300 $aRefereed/Peer-reviewed 311 08$a0116-1105 606 $aEconomic history$2fast$3(OCoLC)fst00901974 606 $aCondition e?conomique$2rasuqam 606 $aDe?veloppement e?conomique$2rasuqam 606 $aEconomische situatie$2gtt 606 $aECONOMIC DEVELOPMENT$2unbist 606 $aASIA$2unbist 606 $aOCEANIA$2unbist 607 $aAsia$xEconomic conditions$vPeriodicals 607 $aOceania$xEconomic conditions$vPeriodicals 607 $aAsie$xConditions e?conomiques$vPe?riodiques 607 $aOce?anie$xConditions e?conomiques$vPe?riodiques 607 $aAsia$2fast$1https://id.oclc.org/worldcat/entity/E39PBJxMpyjKQ9Jtm3jkjPBgKd 607 $aOceania$2fast$1https://id.oclc.org/worldcat/entity/E39PBJfGXyKwjqFR47VVfYDpfq 607 $aAsie$2rasuqam 607 $aOce?anie$2rasuqam 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 608 $aPe?riodique e?lectronique (Descripteur de forme)$2rasuqam 608 $aRessource Internet (Descripteur de forme)$2rasuqam 608 $aperiodicals.$2aat 608 $aPe?riodiques.$2rvmgf 615 7$aEconomic history. 615 17$aCondition e?conomique. 615 17$aDe?veloppement e?conomique. 615 17$aEconomische situatie. 615 07$aECONOMIC DEVELOPMENT. 615 07$aASIA. 615 07$aOCEANIA. 712 02$aAsian Development Bank 801 0$bABC 801 1$bABC 801 2$bCGU 801 2$bOCLCQ 801 2$bCNU 801 2$bAGL 801 2$bUQ1 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCF 801 2$bOCLCO 801 2$bOCLCQ 801 2$bCUS 801 2$bVT2 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCQ 801 2$bIOY 801 2$bOCLCQ 801 2$bOCLCL 801 2$bAUD 801 2$bAU@ 801 2$bOCLCL 801 2$bHUL 801 2$bLVT 906 $aJOURNAL 912 $a9910131738903321 996 $aAsian development review$91946559 997 $aUNINA