why-calculus-works
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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 modified 3yr ago
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