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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