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An Introduction to Modern Analysis electronic resource by Vicente Montesinos, Peter Zizler, Václav Zizler.

By: Montesinos, Vicente [author.]Contributor(s): Zizler, Peter [author.] | Zizler, Václav [author.] | SpringerLink (Online service)Material type: TextTextPublication details: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XXXI, 863 p. 339 illus., 5 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319124810Subject(s): mathematics | Functional analysis | Numerical analysis | Mathematics | Functional Analysis | Numerical Analysis | Mathematics, generalDDC classification: 515.7 LOC classification: QA319-329.9Online resources: Click here to access online
Contents:
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. .
In: Springer eBooksSummary: 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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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.

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