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
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