3Blue1Brown
A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15
A quick way to compute eigenvalues of a 2x2 matrix
3Blue1Brown
Euler's formula with introductory group theory
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection - Part 1 of 2
How to visualize quaternions, a 4d number system, in our 3d world
3Blue1Brown
Some light quantum mechanics (with MinutePhysics)
An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.
3Blue1Brown
Euler's formula with introductory group theory - Part 1 of 4
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
Some light quantum mechanics (with minutephysics)
An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.
3Blue1Brown
Winding numbers and domain coloring
An algorithm for solving continuous 2d equations using winding numbers.
3Blue1Brown
Solving 2D equations using color, a story of winding numbers and composition
An algorithm for numerically solving certain 2d equations. Even though we described how winding numbers can be used to solve 2d equations at a high level, it's worth pointing out that there are a few details missing for if you wanted to...
PBS
The Mathematics of Quantum Computers
What is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series.
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
3Blue1Brown
Solving 2D equations using color, a story of winding numbers and composition
An algorithm for solving continuous 2d equations using winding numbers.
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Intuitions for divergence and curl, and where they come up in physics.
3Blue1Brown
Olympiad level counting: How many subsets of {1,…,2000} have a sum divisible by 5?
Timestamps 0:00 - Puzzle statement and motivation 4:31 - Simpler example 6:51 - The generating function 11:52 - Evaluation tricks 17:24 - Roots of unity 26:31 - Recap and final trick 30:13 - Takeaways
3Blue1Brown
Visualizing the Riemann hypothesis and analytic continuation
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
Curated Video
Gauge Theory Made Simple: How Symmetry Works in Quantum Physics
New ReviewIf you ask a physicist, what is at the core of physics, you will hear symmetry. What is symmetry? Gauge theory explained simply. Symmetry is about actions that don't change anything. If we take an equilateral triangle, and put a mirror...
Curated Video
Basics of Complex Numbers and the Complex Number System Chart
In this video, we will define imaginary numbers and examine the complex number system.
Curated Video
Operations with Complex Numbers (add, subtract, multiply, and divide)
In this video, we learn how to add, subtract, multiply, and divide complex numbers. In the dividing portion of this video (7:05), we look at how to use the complex conjugate to rewrite quotients.
Curated Video
Complex Plane and Modulus
How do you plot points in the complex plane? How do you find modulus of a complex number? This video answers these questions by graphing points on the complex plane, defining modulus (absolute value), and calculating modulus.
Curated Video
What is a Real Solution?
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
Curated Video
De Moivre's theorem to prove Trigonometric Identities
Learn how De Moivre's theorem can be used to prove Trigonometric Identities. Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen...
Curated Video
Deep Learning - Computer Vision for Beginners Using PyTorch - Numerical Data Types and Arithmetic Operations in Python
In this video, you will learn about numerical data types and arithmetic operations in Python. This clip is from the chapter "Optional Learning - Python Basics" of the series "Deep Learning - Computer Vision for Beginners Using...
Curated Video
Complex Numbers and Properties
This video will explain how to choose the correct property to apply to a complex number expression, and how to solve them.
Zach Star
Why imaginary numbers are needed to understand the radius of convergence
Why imaginary numbers are needed to understand the radius of convergence