Measure Theory

Measure theory is a classical area of mathematics that continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics. This book gives a systematic presentation of modern measure theory as it has developed over the past...

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Bibliografiske detaljer
Hovedforfatter: Bogachev, Vladimir I., 1961-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Fag:
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Kommentar: L'impression du document génère 1100 p.
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Edition sous un autre format:• Measure theory, V. I. Bogachev, 2007, Berlin, Springer, 2 vol. (XVII-500, XIII-575 p.), 978-3-540-34513-8
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100 1 |a Bogachev, Vladimir I.,  |d 1961- 
245 1 0 |a Measure Theory   |c Vladimir I. Bogachev. 
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504 |a Bibliogr. Index 
505 | |a Contient des exercices 
505 1 |a Measure Theory. Vol I Measure Theory. Vol II 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Measure theory is a classical area of mathematics that continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics. This book gives a systematic presentation of modern measure theory as it has developed over the past century and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly covered by more than 850 exercises. Bibliographical and historical comments and an extensive bibliography with 2000 works covering more than a century are provided. Volume 1 is devoted to the classical theory of measure and integral. Whereas the first volume presents the ideas that go back mainly to Lebesgue, the second volume is to a large extent the result of the later development up to the recent years. The central subjects of Volume 2 are: transformations of measures, conditional measures, and weak convergence of measures. These topics are closely interwoven and form the heart of modern measure theory. The target readership includes graduate students interested in deeper knowledge of measure theory, instructors of courses in measure and integration theory, and researchers in all fields of mathematics. The book may serve as a source for many advanced courses or as a reference. 
650 |a Théorie de la mesure 
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650 |a Espaces Lp 
650 |a Ensembles boréliens 
650 |a Transformations conservant la mesure 
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