> For the complete documentation index, see [llms.txt](https://markibrahim.gitbook.io/why-calculus-works/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://markibrahim.gitbook.io/why-calculus-works/real_analysis.md).

# Real Analysis

Introduce purpose and approach.

This will begin with a description of real numbers, completeness, compactness, and some topology—ultimately leading to integration and differentiation.