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Complex Analysis
10 parts, 10 h 42 min
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Complex Analysis
Sum to Integrals
45:13
Part 1 of 10
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Every number before i
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1
Part 1
Every number before i
45:13
2
Part 2
A new number, and how to add, multiply and divide it
49:45
3
Part 3
The mirror and the ruler
1:12:47
4
Part 4
Angles, the circle, and the two formulas everything rests on
1:08:52
5
Part 5
Infinite sums, e^z, and where Euler's formula comes from
1:32:58
6
Part 6
Polar form, e to the i theta, and De Moivre's theorem
1:19:11
7
Part 7
The sine of a complex number, and the hyperbolic functions
1:04:30
8
Part 8
Roots and logarithms, the five questions worked in full
1:35:55
9
Part 9
Complex Analysis: limit, continuity, differentiability, and Cauchy's theorem
34:53
10
Part 10
Beyond Cauchy's Integral Formula: Laurent series explained
37:26