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Berberian (U. of Iowa) wrote a single textbook to use in two courses, so it has two distinct parts. The first part is for a one-semester terminal course in measure and integration for early graduate students of general mathematics who are familiar with epsilon and beta arguments and the language of naive set theory. The second part is for a second course in measure and integration at the advanced graduate level, but will need to be augmented to fill out a semester. These students also need a background in general topology and a nodding acquaintance with general algebraic structures. The 1965 edition was published by Macmillan, New York. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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Measure and Integration (Chelsea Publications)
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American Mathematical Society, 2011
ISBN 10: 0821853287
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Condizione: New. Originally published: New York: Macmillan, 1965. Series: Chelsea Publications. Num Pages: 312 pages, Illustrations. BIC Classification: PBKL. Category: (G) General (US: Trade). Dimension: 232 x 160 x 22. Weight in Grams: 580. . 2011. Reprint. Hardcover. . . . . Codice articolo V9780821853283
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Measure and Integration
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Hardback. Condizione: New. This highly flexible text is organized into two parts: Part I is suitable for a one-semester course at the first-year graduate level, and the book as a whole is suitable for a full-year course. Part I treats the theory of measure and integration over abstract measure spaces. Prerequisites are a familiarity with epsilon-delta arguments and with the language of naive set theory (union, intersection, function). The fundamental theorems of the subject are derived from first principles, with details in full. Highlights include convergence theorems (monotone, dominated), completeness of classical function spaces (Riesz-Fischer theorem), product measures (Fubini's theorem), and signed measures (Radon- Nikodym theorem). Part II is more specialized; it includes regular measures on locally compact spaces, the Riesz-Markoff theorem on the measure-theoretic representation of positive linear forms, and Haar measure on a locally compact group. The group algebra of a locally compact group is constructed in the last chapter, by an especially transparent method that minimizes measure-theoretic difficulties. Prerequisites for Part II include Part I plus a course in general topology. To quote from the Preface: "Finally, I am under no illusions as to originality, for the subject of measure theory is an old one which has been worked over by many experts. My contribution can only be in selection, arrangement, and emphasis. I am deeply indebted to Paul R. Halmos, from whose textbook I first studied measure theory; I hope that these pages may reflect their debt to his book without seeming to be almost everywhere equal to it.". Codice articolo LU-9780821853283
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Measure and Integration (Chelsea Publications)
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American Mathematical Society, 2011
ISBN 10: 0821853287
ISBN 13: 9780821853283
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Condizione: New. Originally published: New York: Macmillan, 1965. Series: Chelsea Publications. Num Pages: 312 pages, Illustrations. BIC Classification: PBKL. Category: (G) General (US: Trade). Dimension: 232 x 160 x 22. Weight in Grams: 580. . 2011. Reprint. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821853283
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Measure and Integration
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Hardcover. Condizione: Brand New. reprint edition. 312 pages. 9.00x6.25x0.75 inches. In Stock. Codice articolo __0821853287
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Measure and Integration
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American Mathematical Society, US, 2011
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ISBN 13: 9780821853283
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Hardback. Condizione: New. This highly flexible text is organized into two parts: Part I is suitable for a one-semester course at the first-year graduate level, and the book as a whole is suitable for a full-year course. Part I treats the theory of measure and integration over abstract measure spaces. Prerequisites are a familiarity with epsilon-delta arguments and with the language of naive set theory (union, intersection, function). The fundamental theorems of the subject are derived from first principles, with details in full. Highlights include convergence theorems (monotone, dominated), completeness of classical function spaces (Riesz-Fischer theorem), product measures (Fubini's theorem), and signed measures (Radon- Nikodym theorem). Part II is more specialized; it includes regular measures on locally compact spaces, the Riesz-Markoff theorem on the measure-theoretic representation of positive linear forms, and Haar measure on a locally compact group. The group algebra of a locally compact group is constructed in the last chapter, by an especially transparent method that minimizes measure-theoretic difficulties. Prerequisites for Part II include Part I plus a course in general topology. To quote from the Preface: "Finally, I am under no illusions as to originality, for the subject of measure theory is an old one which has been worked over by many experts. My contribution can only be in selection, arrangement, and emphasis. I am deeply indebted to Paul R. Halmos, from whose textbook I first studied measure theory; I hope that these pages may reflect their debt to his book without seeming to be almost everywhere equal to it.". Codice articolo LU-9780821853283
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Measure and Integration
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Measure and Integration
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ISBN 13: 9780821853283
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