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Sarcastic and serious introductions
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Classroom Contents
What Are Complex Numbers - Essence of Complex Analysis
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- 1 Sarcastic and serious introductions
- 2 1.1 Complex plane - Cartesian way
- 3 1.2 Complex plane - Polar way (Intro)
- 4 1.3 Arguments about arguments
- 5 1.4 Interconversion
- 6 2.1 Euler's formula - classic proof
- 7 2.2 Euler's formula - 2nd proof
- 8 3.1 Operations - addition/subtraction
- 9 3.2 Operations - multiplication
- 10 3.3 Operations - conjugation
- 11 3.4 Operations - division
- 12 3.5 Operations - exponentiation
- 13 3.6 Operations - logarithm
- 14 3.7 Operations - sine/cosine
- 15 4.1 de Moivre's theorem - intro
- 16 4.2 de Moivre's theorem - nth roots
- 17 4.3 de Moivre's theorem - Euler's formula 3rd proof
- 18 Outro
