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Cover: 9780521097512 | Lebesgue Integration and Measure | Alan J. Weir | Taschenbuch | 1999
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Lebesgue Integration and Measure
Taschenbuch von Alan J. Weir
Sprache: Englisch

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Beschreibung
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics.
Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later.
The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate: notes on the solutions are given.
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics.
Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later.
The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate: notes on the solutions are given.
Inhaltsverzeichnis
Preface; 1. The completeness of the reals; 2. Null sets; 3. The Lebesgue integral on R; 4. The Lebesgue integral on Rk; 5. The convergence theorems; 6. Measurable functions and Lebesgue measure; 7. The spaces Lp; Appendix: the elements of topology; Solutions; References; Index.
Details
Erscheinungsjahr: 1999
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521097512
ISBN-10: 0521097517
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Weir, Alan J.
Zusammengestellt: Weir, Alan J.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 18 mm
Von/Mit: Alan J. Weir
Erscheinungsdatum: 01.07.1999
Gewicht: 0,484 kg
Artikel-ID: 101152853
Inhaltsverzeichnis
Preface; 1. The completeness of the reals; 2. Null sets; 3. The Lebesgue integral on R; 4. The Lebesgue integral on Rk; 5. The convergence theorems; 6. Measurable functions and Lebesgue measure; 7. The spaces Lp; Appendix: the elements of topology; Solutions; References; Index.
Details
Erscheinungsjahr: 1999
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521097512
ISBN-10: 0521097517
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Weir, Alan J.
Zusammengestellt: Weir, Alan J.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 18 mm
Von/Mit: Alan J. Weir
Erscheinungsdatum: 01.07.1999
Gewicht: 0,484 kg
Artikel-ID: 101152853
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