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An introduction to modern analysis

Montesinos, Vicente.

An introduction to modern analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to modern analysisby Vicente Montesinos, Peter Zizler, Vaclav Zizler.
Author:	Montesinos, Vicente.
other author:	Zizler, Peter.
Published:	Cham :Springer International Publishing :2015.
Description:	xxxi, 863 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functional analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-12481-0
ISBN:	9783319124810 (electronic bk.)

An introduction to modern analysis
Montesinos, Vicente.

An introduction to modern analysis[electronic resource] /by Vicente Montesinos, Peter Zizler, Vaclav Zizler. - Cham :Springer International Publishing :2015. - xxxi, 863 p. :ill. (some col.), digital ;24 cm.

Real Numbers: The Basics -- Sequences and Series -- Measure -- Functions -- Function Convergence -- Metric Spaces -- Integration -- Convex Functions -- Fourier Series -- Basics on Descriptive Statistics -- Excursion to Functional Analysis -- Appendices.

Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.

ISBN: 9783319124810 (electronic bk.)

Standard No.: 10.1007/978-3-319-12481-0doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

An introduction to modern analysis
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505 0 $a Real Numbers: The Basics -- Sequences and Series -- Measure -- Functions -- Function Convergence -- Metric Spaces -- Integration -- Convex Functions -- Fourier Series -- Basics on Descriptive Statistics -- Excursion to Functional Analysis -- Appendices.
520 $a Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.
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