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shirali satish; vasudeva harkrishan lal - measure and integration

Measure and Integration

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/2019
Edizione: 1st ed. 2019





Trama

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.




Sommario

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.




Autore

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).











Altre Informazioni

ISBN:

9783030187460

Condizione: Nuovo
Collana: Springer Undergraduate Mathematics Series
Dimensioni: 235 x 155 mm Ø 926 gr
Formato: Brossura
Illustration Notes:XII, 598 p.
Pagine Arabe: 598
Pagine Romane: xii


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