Measure theory
Measure theory is a classical area of mathematics that continues to enjoy 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...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre papier |
| Langue: | Anglais |
| Publié: |
Berlin ; New York :
Springer
C 2007.
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| Sujets: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Measure Theory, Vladimir I. Bogachev., 20XX, Berlin, Heidelberg, Springer Berlin Heidelberg, 978-3-540-34514-5 |
| Résumé: | Measure theory is a classical area of mathematics that continues to enjoy 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 materiel of this level corresponds to a variety of spécial courses), and finally , more specialized topics partly covered by more than 850 exercices. 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. Volume 2 are : transformations of measures, conditional measures, and weak convergence of measures. These topics are closely interwowen and form the heart of modern measure theory. |
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| Description matérielle: | 2 vol. (XVII-500, XIII-575 p.) ; 24 cm. |
| Bibliographie: | Notes bibliogr. Index |
| ISBN: | 9783540345138 (relié les 2 vol.) 9783662500705 (relié les 2 vol.) 3540345132 |