Articles liés à A Concise Introduction to the Theory of Integration
Synopsis
This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition.
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Présentation de l'éditeur
The choice of topics included in this book, as well as the presentation of those topics, has been guided by the author's experience in teaching this material to classes consisting of advanced graduate students who are not concentrating in mathematics. This book contains an introduction to the modern theory of integration with a strong emphasis on the case of Lebesgue's measure for (Rn and eye toward applications to real analysis and probability theory. Following a brief review of the classical Riemann theory in Chapter I, the details of Lebesgue's construction are given in Chapter Ii, which also contains a derivation of the transformation properties of Lebesgue's measure under linear maps. Chapter Iii is devoted to Lebesgue's theory of integration of real-valued functions on a general measure space. Besides the basic convergence theorems, this chapter introduces product measures and Fubini's Theorem. In Chapter Iv, various topics having to do with the transformation properties of measures are derived. These include: the representation of general integrals in terms of Riemann integrals with respect to the distribution function, polar coordinates, Jacobi's transformation formula and finally the introduction of surface measure followed by a proof of the Divergence Theorem. A few of the basic inequalitites of measure theory are derived in Chapter V. In particular, the inequalities of Jensen, Minkowski and HÖLder are presented. Finally, Chapter Vi starts with the Daniell integral and its applications to the CarathÉOdory Extension and Riesz Representation Theorems. It closes with Von Neumann's derivation of the Radon-Nikodym Theorem.
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A Concise Introduction to the Theory of Integration
Edité par
Birkhauser, 1998
ISBN 10 : 0817640738
ISBN 13 : 9780817640736
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A Concise Introduction to the Theory of Integration
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Birkhäuser, 1998
ISBN 10 : 0817640738
ISBN 13 : 9780817640736
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A Concise Introduction to the Theory of Integration
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Concise Introduction to the Theory of Integration
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ISBN 13 : 9780817640736
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A Concise Introduction to the Theory of Integration
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ISBN 13 : 9780817640736
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is a very attractive textbook. Unusual in many respects, [it] fully achieves its goal, a one-semester, concise but logically complete treatment of abstract integration. It is remarkable that [the author] has accomplished so much in so short a com. N° de réf. du vendeur 5975636
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A Concise Introduction to the Theory of Integration
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition. 272 pp. Englisch. N° de réf. du vendeur 9780817640736
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A Concise Introduction to the Theory of Integration
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A Concise Introduction to the Theory of Integration
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Birkhäuser Boston, Birkhäuser Boston Dez 1998, 1998
ISBN 10 : 0817640738
ISBN 13 : 9780817640736
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware -This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 272 pp. Englisch. N° de réf. du vendeur 9780817640736
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A Concise Introduction to the Theory of Integration
Edité par
Birkhäuser Boston, Birkhäuser Boston, 1998
ISBN 10 : 0817640738
ISBN 13 : 9780817640736
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition. N° de réf. du vendeur 9780817640736
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A Concise Introduction to the Theory of Integration
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