An Introduction to Modern Analysis

2015
ISBN: 978-3-319-12480-3
Verlag: Springer International Publishing

Buch, Englisch, 863 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 14535 g

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Montesinos, Vicente

Zizler, Václav

Zizler, Peter

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.

Über Autor(innen)

Vincente Montesinos is a Corresponding Member of the Spanish Royal Academy of Sciences, and is a Professor at the Universidad Politécnica de Valencia, Spain.

Peter Zizler is an Associate Professor at Mount Royal University in Calgary, Canada.

Václav Zizler is the former Head of Research at the Mathematical Institute of the Czech Academy of Sciences, and previously served as Faculty Lecturer at the University of Alberta, and Professor of Mathematics at the University of Alberta, Edmonton. In 2001, his book Functional Analysis and Infinite Dimensional Geometry was named university textbook of the year by the Czech Minister of Education.