BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
eBook
Measure and Integration
Springer International Publishing
ISBN 978-3-030-18747-7
Standardpreis
Bibliografische Daten
eBook. PDF. Weiches DRM (Wasserzeichen)
2019
XII, 598 p..
In englischer Sprache
Umfang: 598 S.
Verlag: Springer International Publishing
ISBN: 978-3-030-18747-7
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Springer Undergraduate Mathematics Series
Produktbeschreibung
This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.
Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and product measures. Noteworthy topics discussed in the text include Lp spaces, the Radon-Nikody¿m Theorem, signed measures, the Riesz Representation Theorem, and the Tonelli and Fubini Theorems.
This textbook, based on extensive teaching experience, is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises, it is the ideal companion for self-study or use alongside lecture courses.
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