Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	September 2019
Genre:	Schulbücher
	absolute continuity / B / Bounded variation / Cantor Set / Fourier Analysis / Functional Analysis / Functional analysis & transforms / Functions of real variables / Funktionalanalysis und Abwandlungen / Mathematics and Statistics / Measure and Integration / measure theory / Real analysis, real variables / Real Functions / Reelle Analysis, Real-Variablen mehr...
ISBN:	9783030187460
EAN-Code:	9783030187460
Verlag:	Springer EN
Einband:	Kartoniert
Sprache:	English
Serie:	Springer Undergraduate Mathematics Series
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	926 gr
Seiten:	598
Illustration:	XII, 598 p.
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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  L p  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.