3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection
How to visualize quaternions, a 4d number system, in our 3d world
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
What are quaternions, and how do you visualize them? A story of four dimensions.
How to think about this 4d number system in our 3d space.
3Blue1Brown
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
Visualizing the Riemann zeta function 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.
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
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...
Zach Star
The intuition and implications of the complex derivative
The intuition and implications of the complex derivative
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......
Curated Video
Introduction to the Complex Number System
In this lesson, we explored the complex number system, which extends the real number system. We learned that complex numbers consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the...
msvgo
Addition and Subtraction of Complex Numbers
It explains how to add and subtract two complex numbers. It also shows the graphical representation of sum and difference of two complex numbers.
Curated Video
Graphing Quadratic Functions and Understanding Complex Roots
In this video, the teacher explains the graphical meaning of real and complex roots in quadratic functions. They review function notation and the steps to graph a quadratic function. They also explain how to use the discriminant to...
msvgo
Polar Form of Complex Numbers
It introduces the concept of principal Argument and the polar form of complex numbers. It also explains conversion from cartesian to Polar Form and vice versa.
Brian McLogan
Algebra 2 - How do you solve for values by using equality of complex numbers, 3x-5+(y-3)i =7+6i
In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers. 3x - 5 +...
Brian McLogan
Learn how to rewrite an expression using the value i, 5 - root(-24)
👉 Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...
Curated Video
Adding Complex Numbers
In this video, the teacher explains how to add complex numbers by combining like terms. They provide examples using both real and imaginary numbers, as well as demonstrate the importance of keeping track of signs. The lesson concludes by...
Curated Video
The Ultimate Guide to Python Programming With Python 3.10 - Numerical Datatypes
Let's learn about numbers such as integers, decimals, fractions, long integers, ands complex numbers. This clip is from the chapter "Numbers" of the series "The Ultimate Guide to Python Programming with Python 3.10".This section...
Curated Video
Python In Practice - 15 Projects to Master Python - Numbers in Python
This video explains the different types of numbers in Python, integers, floats, and complex numbers. This clip is from the chapter "Numeric Data Types" of the series "Python in Practice - 15 Projects to Master Python".This section...
Brian McLogan
What is a complex numbers
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
What is a complex number
In this video playlist you will learn everything you need to know with complex and imaginary numbers
Professor Dave Explains
Complex, Hermitian, and Unitary Matrices
Defining complex matrices, hermitian matrices, and unitary matrices.
msvgo
Introduction to Complex Numbers
It discusses the need for complex number system and define the complex numbers. It also compares complex numbers with real numbers.