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010   $a1-281-95631-7
010   $a9786611956318
010   $a981-281-065-X
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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