Measure and Integration | Taschenbuch

Cover: 9783030187460 | Measure and Integration | Harkrishan Lal Vasudeva (u. a.) | Buch | xii

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Beschreibung

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.

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.

Über den Autor

¿Satish Shirali's research interest are in Banach *algebras, elliptic boundary value problems, fuzzy measures, andHarkrishan Vasudeva's interests are in functional analysis. This is their fourth joint textbook, having previous published An Introduction to Mathematical Analysis (2014), Multivariable Analysis (2011) and Metric Spaces (2006). Shirali is also the author of the book A Concise Introduction to Measure Theory (2018), and Vasudeva is the author of Elements of Hilbert Spaces and Operator Theory (2017) and co-author of An Introduction to Complex Analysis (2005).

Zusammenfassung

Supplements the abstract theory with a great amount of motivation, explanations and concrete examples

Includes background on metric spaces and mathematical analysis

Over 300 exercises with hints

Inhaltsverzeichnis

1 Preliminaries.- 2 Measure in Euclidean Space.- 3 Measure Spaces and Integration.- 4 Fourier Series.- 5 Differentiation.- 6 Lebesgue Spaces and Modes of Convergence.- 7 Product Measure and Completion.- 8 Hints.- References.- Index.

Details

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 598 S.
ISBN-13:	9783030187460
ISBN-10:	3030187462
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Vasudeva, Harkrishan Lal Shirali, Satish
Auflage:	1st edition 2019
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	Harkrishan Lal Vasudeva (u. a.)
Erscheinungsdatum:	23.09.2019
Gewicht:	0,914 kg

Artikel-ID: 115958840