Introduction to modern analysis, An
Functional analysis Mathematical analysis Mathematics sähkökirjat
Springer
2015
EISBN 9783319124810
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.
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.
