1.

Record Nr.

UNINA9910299761403321

Autore

Montesinos Vicente

Titolo

An Introduction to Modern Analysis / / by Vicente Montesinos, Peter Zizler, Václav Zizler

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-12481-1

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (XXXI, 863 p. 339 illus., 5 illus. in color.)

Disciplina

515.7

Soggetti

Functional analysis

Numerical analysis

Mathematics

Functional Analysis

Numerical Analysis

Mathematics, general

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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. .

Sommario/riassunto

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.