Measure, Integral, Derivative : A Course on Lebesgue's Theory
This classroom-tested text is intended for a one-semester course in Lebesgue s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integratio...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2013. |
| Schriftenreihe: | Universitext
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| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Measure, integral, derivative, a course on Lebesgue's theory, Sergei Ovchinnikov, New York, Springer, 2013, 1 vol. (X-146), Universitext, 978-1-4614-7195-0 • Measure, integral, derivative, a course on Lebesgue's theory, Sergei Ovchinnikov, New York, Springer, 2013, 1 vol. (X-146), Universitext, 978-1-4614-7195-0 • Measure, Integral, Derivative, Texte imprimé, 9781461471974 |
| Zusammenfassung: | This classroom-tested text is intended for a one-semester course in Lebesgue s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis.In order to keep the book self-contained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where -algebras are not used in the text on measure theory and Dini s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue s theory are found in the book |
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| Beschreibung: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781461471967 |
| ISSN: | 2191-6675 |
| Zugangseinschränkungen: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |