Measure and Integration

Satish Shirali, Harkrishan Lal Vasudeva

ISBN 10: 3030187462 / ISBN 13: 9783030187460

Verlag: Springer Nature Switzerland AG, CH, 2019

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. Bestandsnummer des Verkäufers LU-9783030187460

Inhaltsangabe:

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-Nikodým 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.

Über die Autorin bzw. den Autor: ​Satish Shirali's research interest are in Banach *algebras, elliptic boundary value problems, fuzzy measures, and Harkrishan 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).

Bibliografische Details

Titel: Measure and Integration
Verlag: Springer Nature Switzerland AG, CH
Erscheinungsdatum: 2019
Einband: Paperback
Zustand: New
Auflage: 2019 ed.