LEADER 03076nam 2200589Ia 450 001 9910453187603321 005 20200520144314.0 010 $a1-281-95631-7 010 $a9786611956318 010 $a981-281-065-X 035 $a(CKB)1000000000538105 035 $a(StDuBDS)AH24685565 035 $a(SSID)ssj0000182601 035 $a(PQKBManifestationID)11178056 035 $a(PQKBTitleCode)TC0000182601 035 $a(PQKBWorkID)10172683 035 $a(PQKB)10037072 035 $a(MiAaPQ)EBC1681611 035 $a(WSP)00004361 035 $a(Au-PeEL)EBL1681611 035 $a(CaPaEBR)ebr10255504 035 $a(CaONFJC)MIL195631 035 $a(OCoLC)815755944 035 $a(EXLCZ)991000000000538105 100 $a20001122d2001 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to gauge integrals$b[electronic resource] /$fCharles Swartz 210 $aSingapore ;$aRiver Edge, N.J. $cWorld Scientific$dc2001 215 $a1 online resource (150p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a981-02-4239-5 320 $aIncludes bibliographical references (p. 149-153) and index. 327 $aIntroduction to the gauge or Henstock-Kurzweil integral; basic properties of the gauge integral; Henstock's Lemma and improper integrals; the gauge integral over unbounded intervals; convergence theorems; integration over more general sets -Lebesgue measure; the space of gauge integrable functions; multiple integrals and Fubini's theorem; the McShane integral; McShane integrability is equivalent to absolute Henstock-Kurzweil integrability. 330 8 $aA presentation of the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. A basic knowledge of introductory real analysis is required of the reader.$bThis book presents the Henstock-Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock-Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces.;A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc. 606 $aHenstock-Kurzweil integral 606 $aCalculus 608 $aElectronic books. 615 0$aHenstock-Kurzweil integral. 615 0$aCalculus. 676 $a515/.43 700 $aSwartz$b Charles$f1938-$054079 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910453187603321 996 $aIntroduction to gauge integrals$92108889 997 $aUNINA LEADER 01214nam0-22003611i-450 001 990007375130403321 005 20240216101355.0 035 $a000737513 035 $aFED01000737513 035 $a(Aleph)000737513FED01 100 $a19990530d2000----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay---ae--001cy 200 1 $aCronica$fDino Compagni$gedizione critica a cura di Davide Cappi 210 $aRoma$cIstituto storico italiano per il Medio Evo$d2000 215 $aXL,378 p.$d26 cm 225 1 $aFonti per la storia dell'Italia medievale$iRerum italicarum scriptores$v1$xISSN 0392-1832 300 $aNell'occhietto: Istituto storico italiano per il Medio Evo. 610 0 $aFirenze$aStoria$aSec. 12.-13.$aFonti narrative 610 0 $aCompagni, Dino$aCronica 610 0 $aCronache$aFirenze$aOrigini 676 $a945.511044$v22$zita 676 $a854.1$v22$zita 700 1$aCompagni,$bDino$0191760 702 1$aCappi,$bDavide 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007375130403321 952 $a945 ISIME 04 (01)$bBibl. 43377$fFLFBC 959 $aFLFBC 996 $aCronica delle cose occorrenti ne' tempi suoi$940669 997 $aUNINA