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Record Nr. |
UNINA9910810894103321 |
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Autore |
Swartz Charles <1938-> |
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Titolo |
Introduction to gauge integrals / / Charles Swartz |
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Pubbl/distr/stampa |
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Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
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ISBN |
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1-281-95631-7 |
9786611956318 |
981-281-065-X |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (150p.) |
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Disciplina |
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Soggetti |
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Henstock-Kurzweil integral |
Calculus |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 149-153) and index. |
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Nota di contenuto |
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Introduction 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. |
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Sommario/riassunto |
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A 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. |
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