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9780824764999: Measure and Integral: An Introduction to Real Analysis

Synopsis

This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.

Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p)) classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis--harmonic analysis--are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function.

Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first-year graduate student in these areas.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.

Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p)) classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis--harmonic analysis--are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function.

Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first-year graduate student in these areas.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Wheeden, Richard; Wheeden, Richard L.; Zygmund, Antoni
Edité par CRC Press (edition 1), 1977
ISBN 10 : 0824764994 ISBN 13 : 9780824764999
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Wheeden, Richard; Wheeden, Richard L.; Zygmund, Antoni
Edité par CRC Press, 1977
ISBN 10 : 0824764994 ISBN 13 : 9780824764999
Ancien ou d'occasion Couverture rigide

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Etat : very_good. Supports Goodwill of Silicon Valley job training programs. The cover and pages are in very good condition! The cover and any other included accessories are also in very good condition showing some minor use. The spine is straight, there are no rips tears or creases on the cover or the pages. N° de réf. du vendeur GWSVV.0824764994.VG

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Wheeden, Richard
Edité par Marcel Dekker, Inc, 1977
ISBN 10 : 0824764994 ISBN 13 : 9780824764999
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8vo Hardcover. Etat : Acceptable. 1st Printing. 274pp. An ex-library copy with the typical markings present. Binding is tight with secure hinges. Interior is unmarked except for previous owner's name and address penned on front fly. Boards are lightly scuffed on extremities, jacketed in a hazy lamination cover. N° de réf. du vendeur 101561

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Zygmund, Antoni,Wheeden, Richard L.,Wheeden, Richard
Edité par CRC Press, 1977
ISBN 10 : 0824764994 ISBN 13 : 9780824764999
Ancien ou d'occasion Couverture rigide

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Hardcover. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_439366128

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