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Essentials of Integration Theory for Analysis - Couverture rigide

 
9783030584771: Essentials of Integration Theory for Analysis

Synopsis

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 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 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on ℝN 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.


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À propos de l?auteur

Daniel W. Stroock is Emeritus professor of mathematics at MIT. He is a respected mathematician in the areas of analysis, probability theory and stochastic processes. Prof. Stroock has had an active career in both the research and education. From 2002 until 2006, he was the first holder of the second Simons Professorship of Mathematics. In addition, he has held several administrative posts, some within the university and others outside. In 1996, the AMS awarded him together with his former colleague jointly S.R.S. Varadhan the Leroy P. Steele Prize for seminal contributions to research in stochastic processes. Finally, he is a member of both the American Academy of Arts and Sciences, the National Academy of Sciences and a foreign member of the Polish Academy of Arts and Sciences.

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9783030584801: Essentials of Integration Theory for Analysis

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ISBN 10 :  3030584801 ISBN 13 :  9783030584801
Editeur : Springer Nature Switzerland AG, 2021
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ISBN 10 : 3030584771 ISBN 13 : 9783030584771
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Hardcover. 2. ed. XVI, 285 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04809 9783030584771 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2491052

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Solutions manual is available to instructors who adopt the textbook for their courseSecond edition revised with new topics, some reworked text, new exercisesSuitable for a one-semester graduate course in integration theory as well as fo. N° de réf. du vendeur 458549709

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Buch. Etat : 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 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. N° de réf. du vendeur 9783030584771

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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. 304 pp. Englisch. N° de réf. du vendeur 9783030584771

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Buch. Etat : Neu. Neuware -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 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 and 8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in 7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in 7.3.4. Section 7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections 8.2.5 and 8.2.6, 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch. N° de réf. du vendeur 9783030584771

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