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

    • ...

Last updated