Ross Ch. 3 — Continuity

Reading: Ross Ch. 3 (§17 Continuous Functions, §18 Properties of Continuous Functions, §19 Uniform Continuity, §20 Limits of Functions, §21 More on Metric Spaces: Continuity, §22 More on Metric Spaces: Connectedness).

Covers continuity of real-valued functions in both the sequential and \(\varepsilon\)–\(\delta\) formulations, the algebra of continuous functions, the extreme and intermediate value theorems, uniform continuity, and limits of functions.

Exercises

→ Exercises §17