16: Appendix C- Analysis Topics Overview

Contributed by Richard Baraniuk et al.
Victor E. Cameron Professor (Electrical and Computer Engineering) at Rice University

16.1: Introduction to Metric Spaces
This module includes a brief introduction to metric spaces at a suitable level of detail for study of signals and systems.
16.2: Convergence of Sequences
This module will present an introduction into convergence and focus on what a sequence is and how it behaves as it approaches infinity.
16.3: Convergence of Sequences of Vectors
This modules presents two common types of convergence, pointwise and norm, and discusses their properties, differences, and relationships with one another.
16.4: Uniform Convergence of Function Sequences
Another form of convergence, uniform convergence, is defined and described in this module. Also, its relationship to pointwise convergence is also shown.