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Complex Analysis: Logarithms and Branch Cuts

Today, we look at an interesting contour integral involving a logarithm and two branch cuts. Ron Gordon's Website: https://residuetheorem.com/2015/10/27...

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Complex Analysis: Residue At Infinity
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Complex Analysis: Residue At Infinity

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Understanding branch cuts: f(z) = (a²-z²)^½

Complex Analysis: Double Keyhole Contour
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Complex Analysis: Double Keyhole Contour

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What are Branch cuts,Branch Points and Riemann Surfaces(complex analysis part-10) by mathOgenius.

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What Lies *Between* a Function and Its Derivative?

Lecture 12 | Integration through a Branch Cut | Example 1 | Theta Classes
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Lecture 12 | Integration through a Branch Cut | Example 1 | Theta Classes

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2026 Fields Medal: Hong Wang

one of the most important ideas from Complex functions
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one of the most important ideas from Complex functions

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Iran's Latest Move Stuns the World | John Mearsheimer's Analysis

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Zeta Explained #99: The Gauss Circle Problem

Closed circle integral of 1/z and branch cuts
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Closed circle integral of 1/z and branch cuts

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2026 Fields Medal: Yu Deng

I Spent 20 Years Building a Machine for the Riemann Hypothesis
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I Spent 20 Years Building a Machine for the Riemann Hypothesis

The Scariest Chart in Electrical Engineering
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The Scariest Chart in Electrical Engineering

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Complex Analysis L04: The Complex Logarithm, Log(z)

Math News: The Additivity Conjecture in Knot Theory is FALSE!
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Math News: The Additivity Conjecture in Knot Theory is FALSE!

Let's do complex analysis: Integrating sin^2(x)/x^2(x^2+1) from 0 to infinity using residue theorem
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Let's do complex analysis: Integrating sin^2(x)/x^2(x^2+1) from 0 to infinity using residue theorem

This Is the Logarithm Explanation You Never Got
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This Is the Logarithm Explanation You Never Got

The Dirichlet Integral Marathon! int sinx/x from 0 to infty in 5 different ways
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The Dirichlet Integral Marathon! int sinx/x from 0 to infty in 5 different ways

Big Picture: Integrals
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Big Picture: Integrals

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