Introduction to gauge integrals [[electronic resource] /] / Charles Swartz
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| Autore: |
Swartz Charles <1938->
|
| Titolo: |
Introduction to gauge integrals [[electronic resource] /] / Charles Swartz
|
| Pubblicazione: | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica: | 1 online resource (150p.) |
| Disciplina: | 515/.43 |
| Soggetto topico: | Henstock-Kurzweil integral |
| Calculus | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (p. 149-153) and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Introduction to gauge integrals |
| ISBN: | 1-281-95631-7 |
| 9786611956318 | |
| 981-281-065-X | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910782276903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |