An Introduction to Measure Theory

Terence Tao

Verlag: Orient BlackSwan Pvt. Ltd, 2013
ISBN 10: 1470409224 / ISBN 13: 9781470409227
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This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini``s theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester``s worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood``s three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book. Printed Pages: 224. Buchnummer des Verkäufers 99076

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Titel: An Introduction to Measure Theory
Verlag: Orient BlackSwan Pvt. Ltd
Erscheinungsdatum: 2013
Einband: Softcover
Zustand: New

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Francesco (Universit. degli Studi di Firenze Maggi
Verlag: Cambridge University Press Aug 2012 (2012)
ISBN 10: 1107021030 ISBN 13: 9781107021037
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Buchbeschreibung Cambridge University Press Aug 2012, 2012. Buch. Buchzustand: Neu. Neuware - An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers. 476 pp. Englisch. Artikel-Nr. 9781107021037

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HAMILTON, Robert.
Verlag: Edinburgh: Archibald Constable and Co., Fairburn & Anderson, A. Brown & Co., G. Clark, Aberdeen, and Hurst, Robinson & Co., London, 1820 (1820)
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Buchbeschreibung Edinburgh: Archibald Constable and Co., Fairburn & Anderson, A. Brown & Co., G. Clark, Aberdeen, and Hurst, Robinson & Co., London, 1820, 1820. Octavo (214 x 130 mm), pp. xiv, 563, [1, blank]. Contemporary tree sheep, flat spine ruled gilt, red morocco label. Spine chipped at foot, front joint cracked at extremities, but still strong. Small wormtrack to lower margin of last 20 leaves, just touching text; a very good copy. First edition thus. "In 1820 a new edition of Hamilton appeared, edited by Elias Johnston, who states that the text had been revised with the advice and approbation of the author. Johnstone rewrote the whole book and based his chapter on book-keeping on a short summary – although with extensive model accounts – of Cronhelm's Double Entry by Single which had appeared in 1818." Bywater and Yamey p. 188. ICAEW, p. 141. See Bywater & Yamey, p. 188. Artikel-Nr. 105432

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