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
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
Curated Video
Solving Quadratic Equations with No Real Solutions Using Completing the Square
In this video, the teacher explains how to solve a quadratic equation with no real solutions using the method of completing the square. They also review complex numbers and common mistakes to avoid when dealing with leading coefficients....
Zach Star
A Look at Some Higher Level Math Classes: Getting a Math Minor
This video goes over some of the extra math classes you can take if you get a math minor. Some of these include... Graph Theory Vector Analysis Topology Numerical Analysis Real Analysis Complex Analysis Abstract Algebra Differential...
Zach Star
What Math Classes do Engineers (and Physics Majors) Take (Part 2)?
In the last video I covered the required math classes for engineers and physics majors that you will definitely see. This video will cover more of the classes that you MAY encounter depending on your major. These classes include......
Why U
Algebra 82 - Complex Functions
In previous lectures we have seen that quadratic equations that have no solutions when only real values are considered, do have solutions when complex numbers are allowed as input and output values. In this lecture, we check the complex...
Curated Video
Properties of Complex Numbers: Extending Real Number Knowledge
This lesson covers the commutative property, associative property, and distributive property, and provides examples of how these properties apply to complex numbers. By extending their knowledge of real number properties, students will...
Brian McLogan
Multiplication of Complex Numbers
In this video series I show you how to multiply complex numbers. Multiplication of complex numbers is similar to multiplication of polynomials as we need to only multiply coefficients by coefficients and our imaginary terms together. We...