Essentials integration theory analysis von stroock daniel (9 Ergebnisse)

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Taschenbuch. Zustand: Neu. Essentials of Integration Theory for Analysis | Daniel W. Stroock | Taschenbuch | xii | Englisch | 2013 | Springer | EAN 9781461429883 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhäuser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of…Riemann sums. The second chapter now covers both Lebesgue and Bernoulli measures, whose relation to one another is discussed. The third chapter now includes a proof of Lebesgue's differential theorem for all monotone functions. This is a beautiful topic which is not often covered. The treatment of surface measure and the divergence theorem in the fifth chapter has been improved. Loose ends from the discussion of the Euler-MacLauren in Chapter I are tied together in Chapter seven. Chapter eight has been expanded to include a proof of Carathéory's method for constructing measures; his result is applied to the construction of Hausdorff measures. The new material is complemented by the addition of several new problems based on that material.

Sprache: Englisch
Verlag: Springer, 2021
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration.Appropriate as a primary text for a one-seme…ster graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows:2.2.5 and8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in7.3.4. Section7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections8.2.5 and8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on N are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.

Sprache: Englisch
Verlag: Springer, Springer, 2020
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration.Appropriate as a primary text for a one-semester gr…aduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows:2.2.5 and8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in7.3.4. Section7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections8.2.5 and8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on N are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.