Measure and Integration (Springer Undergraduate Mathematics Series) - Softcover

Buch 75 von 87: Springer Undergraduate Mathematics

Shirali, Satish; Vasudeva, Harkrishan Lal

 
9783030187460: Measure and Integration (Springer Undergraduate Mathematics Series)
Softcover
ISBN 10: 3030187462 ISBN 13: 9783030187460
Verlag: Springer, 2019

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 Lp 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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

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).

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
3030187462
ISBN 13 
9783030187460
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
612
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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ISBN 10:  3030187489 ISBN 13:  9783030187484
Verlag: Springer, 2019
Softcover