Complex Analysis Part 1/2

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Neel Nanda gives a talk on some of the motivations, intuitions and underlying deeper maths for the 1B Complex Analysis course.

This talk was held in the Fisher Building, St. John's College

Time Stamps:

Chapter 1 (Intro & intuitions behind holomorphic functions, why they're so nice, and their basic properties, like angle preserving and Cauchy-Riemann) 0:00
Chapter 1*: Branch cuts! 17:00

Chapter 2 (Intuition behind what's really going on when we integrate) 29:00

Chapter 3 Intuitions behind the actual theorems and proofs:
55:30 Cauchy's for triangles & convex Cauchy
1:15:10 Cauchy's Integral Formula
1:23:15 Max Modulus, Liouville's & Fundamental Theorem of Algebra
1:35:25 Power series, Principle of Isolated Zeros
1:45:10 Infinite Differentiability, Morera's Thm, and how this should affect our intuitions from real analysis
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Chapter 1 (Intro & intuitions behind holomorphic functions, why they're so nice, and their basic properties, like angle preserving and Cauchy-Riemann) 0:00
Chapter 1*: Branch cuts! 17:00
Chapter 2 (Intuition behind what's really going on when we integrate) 29:00
Chapter 3 (Intuitions behind the actual theorems and proofs: Cauchy's for triangles, convex Cauchy, Cauchy's Integral Formula, Max Modulus, Lioville's, FTA, Power series, infinite differentiability, Morera's Thm) 55:30

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