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Real Variable and Integration: with Historical Notes (Mathematische Leitfäden) (German Edition) - Softcover
Synopsis
The subject matter in this book is a fundamental part of the basic graduate real variable course as I now teach it. Since there are several excellent texts that generally cover the material here, I'm obliged to render an "apologia" for the present text con- cerning its content, presentation and existence. The theme of this book is the notion of absolute continuity and its role as the unifying concept for the major results of the theory, viz., the Lebesgue dominated convergence theorem (LDC) and the Radon-Nikodym theorem (R-N). The main mathematical reason that I've written this book is that none of the other texts in the area stresses this issue to the extent that I think it should be stressed. Let me be more specific. The problem of taking limits under the integral sign, that is, "switching limits," is in a very real sense the fundamental problem in analysis. Lebesgue's axiomatization which formulates and proves LDC in an optimal way yields the most important gene- ral technique for examining such problems. This material is developed in Chapter 3. Shortly after Lebesgue's initial work Vitali gave necessary and sufficient conditions to switch limits in terms of uniform absolute continuity. Vitali's result led to research which has culminated in Grothendieck's study of weak convergence of measures. This latter material is usually not included in most texts; in particular, its relationship to LDC is not emphasized. This is the reason that I've included Chapter 6.
"synopsis" may belong to another edition of this title.
- PublisherVieweg+Teubner Verlag
- Publication date1976
- ISBN 10 3519022095
- ISBN 13 9783519022091
- BindingPaperback
- LanguageGerman
- Number of pages280
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Real Variable and Integration: With Historical Notes Mathematische Leitfäden
Seller: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Germany
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Broschiert. Condition: Gut. 278 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 440. Seller Inventory # 2201462
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REAL VARIABLE AND INTEGRATION : WITH HISTORICAL NOTES (MATHEMATISCHE LEITFÄDEN)
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B.G. Tuebner, Stuttgart, 1976
ISBN 10: 3519022095
ISBN 13: 9783519022091
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Softcover
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Softcover. Octavo; VG-; Paperback; Spine, green with white print; Cover has slight edgewear, but is clean and bright; Text block clean and tight; 278 pages. 1363444. FP New Rockville Stock. Seller Inventory # 1363444
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Real Variable and Integration. With Historical Notes.
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Wiesbaden, Vieweg+Teubner Verlag, 1976
ISBN 10: 3519022095
ISBN 13: 9783519022091
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Softcover. 278 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 3519022095 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2340348
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Real Variable and Integration: with Historical Notes (Mathematische Leitfäden) (German Edition)
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Real Variable and Integration: with Historical Notes (Mathematische Leitfäden) (German Edition)
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Real Variable and Integration : with Historical Notes
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Real Variable and Integration: with Historical Notes (Mathematische Leitfäden) (German Edition)
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Real Variable and Integration
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Vieweg+Teubner, Vieweg+Teubner Verlag Jun 1976, 1976
ISBN 10: 3519022095
ISBN 13: 9783519022091
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The subject matter in this book is a fundamental part of the basic graduate real variable course as I now teach it. Since there are several excellent texts that generally cover the material here, I'm obliged to render an 'apologia' for the present text con cerning its content, presentation and existence. The theme of this book is the notion of absolute continuity and its role as the unifying concept for the major results of the theory, viz., the Lebesgue dominated convergence theorem (LDC) and the Radon-Nikodym theorem (R-N). The main mathematical reason that I've written this book is that none of the other texts in the area stresses this issue to the extent that I think it should be stressed. Let me be more specific. The problem of taking limits under the integral sign, that is, 'switching limits', is in a very real sense the fundamental problem in analysis. Lebesgue's axiomatization which formulates and proves LDC in an optimal way yields the most important gene ral technique for examining such problems. This material is developed in Chapter 3. Shortly after Lebesgue's initial work Vitali gave necessary and sufficient conditions to switch limits in terms of uniform absolute continuity. Vitali's result led to research which has culminated in Grothendieck's study of weak convergence of measures. This latter material is usually not included in most texts; in particular, its relationship to LDC is not emphasized. This is the reason that I've included Chapter 6. 278 pp. Deutsch. Seller Inventory # 9783519022091
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Real Variable and Integration : with Historical Notes
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The subject matter in this book is a fundamental part of the basic graduate real variable course as I now teach it. Since there are several excellent texts that generally cover the material here, I'm obliged to render an 'apologia' for the present text con cerning its content, presentation and existence. The theme of this book is the notion of absolute continuity and its role as the unifying concept for the major results of the theory, viz., the Lebesgue dominated convergence theorem (LDC) and the Radon-Nikodym theorem (R-N). The main mathematical reason that I've written this book is that none of the other texts in the area stresses this issue to the extent that I think it should be stressed. Let me be more specific. The problem of taking limits under the integral sign, that is, 'switching limits', is in a very real sense the fundamental problem in analysis. Lebesgue's axiomatization which formulates and proves LDC in an optimal way yields the most important gene ral technique for examining such problems. This material is developed in Chapter 3. Shortly after Lebesgue's initial work Vitali gave necessary and sufficient conditions to switch limits in terms of uniform absolute continuity. Vitali's result led to research which has culminated in Grothendieck's study of weak convergence of measures. This latter material is usually not included in most texts; in particular, its relationship to LDC is not emphasized. This is the reason that I've included Chapter 6. Seller Inventory # 9783519022091
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Real Variable and Integration: with Historical Notes (Mathematische Leitfäden) (German Edition)
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paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-3519022095
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