Introduction to contour integrals on complex plane

With a brief mention of calculus of residues at the end. If you are taking complex analysis, please do yourself a favor and watch this video to the end. Watching this video should be immensely helpful in understanding what calculus of residues is about.

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6
▶︎

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6

Complex Analysis: Double Keyhole Contour
▶︎

Complex Analysis: Double Keyhole Contour

Cauchy Residue Theorem, Introduction
▶︎

Cauchy Residue Theorem, Introduction

2026 Fields Medal: Yu Deng
▶︎

2026 Fields Medal: Yu Deng

Three minutes with Hong Wang (X2010), Fields Medal 2026
▶︎

Three minutes with Hong Wang (X2010), Fields Medal 2026

Complex Analysis: Integral of sin(x)/x using Contour Integration
▶︎

Complex Analysis: Integral of sin(x)/x using Contour Integration

Euler's Formula Beyond Complex Numbers
▶︎

Euler's Formula Beyond Complex Numbers

Complex Analysis 18 | Complex Contour Integral
▶︎

Complex Analysis 18 | Complex Contour Integral

Hypergeometric functions and Elliptic Integrals -- Part 1
▶︎

Hypergeometric functions and Elliptic Integrals -- Part 1

How to evaluate the limit of a multivariable function (introduction & 6 examples)
▶︎

How to evaluate the limit of a multivariable function (introduction & 6 examples)

Double and Triple Integrals
▶︎

Double and Triple Integrals

Integral of 1/(x^2+1) from -inf to inf, Contour Integral
▶︎

Integral of 1/(x^2+1) from -inf to inf, Contour Integral

The Scariest Chart in Electrical Engineering
▶︎

The Scariest Chart in Electrical Engineering

Complex Analysis 07: Contour Integration
▶︎

Complex Analysis 07: Contour Integration

But what is a convolution?
▶︎

But what is a convolution?

Contour Integration Explained | Complex Integrals | Complex Analysis #11
▶︎

Contour Integration Explained | Complex Integrals | Complex Analysis #11

Complex Analysis: Integral of 1/(x^4+1) using Contour Integration
▶︎

Complex Analysis: Integral of 1/(x^4+1) using Contour Integration

Complex Analysis: Gaussian Integral
▶︎

Complex Analysis: Gaussian Integral

NO ONE Understood What Was Happening... Then They Started LAUGHING And It All Made Sense!
▶︎

NO ONE Understood What Was Happening... Then They Started LAUGHING And It All Made Sense!

How Bees CRACKED a 2,000-Year-Old Math PROBLEM!
▶︎

How Bees CRACKED a 2,000-Year-Old Math PROBLEM!

Complex Integration Using Branch Cuts
▶︎

Complex Integration Using Branch Cuts

Applying contour integration to real integrals -- Complex Analysis 23
▶︎

Applying contour integration to real integrals -- Complex Analysis 23

Complex Analysis: Integral of xsin(x)/(x^2+1) using Contour Integration
▶︎

Complex Analysis: Integral of xsin(x)/(x^2+1) using Contour Integration

Contour Integrals
▶︎

Contour Integrals

Complex Analysis: Integral of ln(x)/(x^n+1) using Contour Integration
▶︎

Complex Analysis: Integral of ln(x)/(x^n+1) using Contour Integration

Riemann Integral vs. Lebesgue Integral
▶︎

Riemann Integral vs. Lebesgue Integral