Liviu C. Florescu: Lebesgue Integral

Cover: 9783030601621 | Lebesgue Integral | Liviu C. Florescu | Taschenbuch | xi | Englisch

Rückseite: 9783030601621 | Lebesgue Integral | Liviu C. Florescu | Taschenbuch | xi | Englisch

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Sprache: Englisch

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Beschreibung

This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and present crucial theoretical challenges. By taking on another approach, this textbook provides less experienced readers with material that allows an easy access to the definition and main properties of the Lebesgue integral.

The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can also be useful to students in the faculties of mathematics, physics, computer science, engineering, life sciences, as an introduction to a more in-depth study of measure theory.

Über den Autor

Liviu C. Florescu is Professor Emeritus at University "Al.[...]" Iasi, Romania.

Zusammenfassung

Provides an approach to the theory starting from real numbers

Includes original exercises that highlight interesting aspects of the theory

Presents elegant proofs

Inhaltsverzeichnis

Introduction.- Measurable functions.- Lebesgue integral.- The Lp spaces.- Lebesgue integral on R2.- Signed measures.- Appendices.- Bibliography.- Index.

Details

Erscheinungsjahr:	2021
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Compact Textbooks in Mathematics
Inhalt:	xi 215 S. 8 s/w Illustr. 1 farbige Illustr. 215 p. 9 illus. 1 illus. in color.
ISBN-13:	9783030601621
ISBN-10:	3030601625
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Florescu, Liviu C.
Auflage:	1st edition 2021
Hersteller:	Springer Birkhäuser Springer International Publishing AG Compact Textbooks in Mathematics
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Liviu C. Florescu
Erscheinungsdatum:	26.02.2021
Gewicht:	0,353 kg