An Introduction to Modern Analysis

• Main Authors: Montesinos, Vicente (Author), Zizler, Peter (Author), Zizler, Václav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Subjects: Mathematics.; Functional analysis.; Numerical analysis.; Functional Analysis.; Numerical Analysis.; Mathematics, general.

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 an...

Table of 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. .