Measure Theory and Integration (Graduate Studies in Mathematics)

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9780821841808: Measure Theory and Integration (Graduate Studies in Mathematics)
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This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to $Lp$ spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to $L2$ spaces as Hilbert spaces, with a useful geometrical structure. Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope. There are further constructions of measures, including Lebesgue measure on $n$-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales. This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory.

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1.

MICHAEL E TAYLOR
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Soft cover Cantidad: > 20
Edición internacional
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University Bookstore
(DELHI, DELHI, India)
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Descripción 2006. Soft cover. Estado de conservación: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Nº de ref. de la librería UN-STOCK-UPIN-1417

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2.

Michael E. Taylor
Editorial: American Mathematical Society (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: > 20
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Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
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Descripción American Mathematical Society, 2006. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to $L^p$ spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to $L^2$ spaces as Hilbert spaces, with a useful geometrical structure.Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope. There are further constructions of measures, including Lebesgue measure on $n$-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales.This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory. Nº de ref. de la librería 1007140040

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3.

Michael Eugene Taylor
Editorial: American Mathematical Society, United States (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2006. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to $L^p$ spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to $L^2$ spaces as Hilbert spaces, with a useful geometrical structure. Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope.There are further constructions of measures, including Lebesgue measure on $n$-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales. This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory. Nº de ref. de la librería AAS9780821841808

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4.

Michael Eugene Taylor
Editorial: American Mathematical Society, United States (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción American Mathematical Society, United States, 2006. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to $L^p$ spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to $L^2$ spaces as Hilbert spaces, with a useful geometrical structure. Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope.There are further constructions of measures, including Lebesgue measure on $n$-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales. This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory. Nº de ref. de la librería AAS9780821841808

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5.

Taylor, Michael E.
Editorial: American Mathematical Society
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
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Movie Mars
(Matthews, NC, Estados Unidos de America)
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Descripción American Mathematical Society. Hardcover. Estado de conservación: New. 0821841807 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Nº de ref. de la librería 13230410

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Taylor, Michael E.
ISBN 10: 0821841807 ISBN 13: 9780821841808
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BWB
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218418080000000

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7.

Michael Eugene Taylor
Editorial: American Mathematical Society (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Cantidad: 2
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Books2Anywhere
(Fairford, GLOS, Reino Unido)
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Descripción American Mathematical Society, 2006. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821841808

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8.

Michael Eugene Taylor
Editorial: American Mathematical Society
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
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THE SAINT BOOKSTORE
(Southport, Reino Unido)
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Measure Theory and Integration, Michael Eugene Taylor, This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to $L^p$ spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to $L^2$ spaces as Hilbert spaces, with a useful geometrical structure. Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope.There are further constructions of measures, including Lebesgue measure on $n$-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales. This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory. Nº de ref. de la librería B9780821841808

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9.

Michael E. Taylor
Editorial: American Mathematical Society (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
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Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción American Mathematical Society, 2006. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821841807

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Michael E. Taylor
Editorial: American Mathematical Society (2006)
ISBN 10: 0821841807 ISBN 13: 9780821841808
Nuevos Tapa dura Cantidad: 1
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Ergodebooks
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Descripción American Mathematical Society, 2006. Hardcover. Estado de conservación: New. Nº de ref. de la librería SONG0821841807

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