> 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/master.md).

# Introduction

*Understanding Calculus through real analysis, complex analysis, and measure theory*

Because we so often forget material we learn, I'm recording my understanding of analysis here.

**Outline**:

* Real Analysis
  * Real numbers
  * Topology: open, compact, connected
  * Functions, limits and continuity
  * Differentiation: mean value, Taylor,
  * Series and convergence
  * Integration

Althought dry, Apostol's *Mathematical Analysis* is a helpful reference.

* Complex Analysis (start with Weselyan notes)
  * Complex plane
  * ...