Real Variable and Integration
Language: German
Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jun 1976, 1976
- Softcover
- New
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000
AbeBooks seller since January 23, 2017
Condition: New
£ 39.28
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This item is printed on demand - Print on Demand Titel. 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.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 284 pp. Deutsch.…
Seller Inventory # 9783519022091
- Title
- Real Variable and Integration
- Publisher
- Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jun 1976
- Publication year
- 1976
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- German
- ISBN 10
- 3519022095
- ISBN 13
- 9783519022091
- Item weight
- 495 grams
- Dimensions
- 244x170x16 mm
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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