3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection
How to visualize quaternions, a 4d number system, in our 3d world
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
Derivative formulas through geometry | Essence of calculus, chapter 3
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
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
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.
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
The Wallis product for pi, proved geometrically
A proof of the Wallis product for pi, together with some neat tricks using complex numbers to analyze circle geometry.
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
Derivative formulas through geometry | Chapter 3, Essence of calculus
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Why does this product equal pi/2? A new proof of the Wallis formula for pi.
A new and more circularly proof of a famous infinite product for pi.
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
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
Derivative formulas through geometry: Essence of Calculus - Part 3 of 11
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
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.
Brian McLogan
Remember your Formulas
If you have a test or quiz coming up and are worried you will not remember all of your formulas then use this video to help you remember exactly what you need to know:
Brian McLogan
Solve this equation without a calculator
In this video we are going to explore how to evaluate using the unit circle without a calculator
Brian McLogan
If you know your identities then you can solve
In this video I will show you how to use trig identities to help you solve a trigonometric equation.
Brian McLogan
Understand evaluating Sine Cosine Tangent Using the Unit Circle
When you need to understand evaluating functions sine cosine and tangent the unit circle can be your best friend. ⭐️ Step-by-step Guide To Evaluating The Six Trig Functions For Any Given Angle - • Step-by-step Guide To Evaluating The ......
Brian McLogan
Step-by-step Guide To Evaluating The Six Trig Functions For Any Given Angle
In this video we are going to focus on evaluating the six trigonometric functions using the unit circle ⭐️ Evaluating Trigonometric Expressions: A Practice Worksheet - • Evaluating Trigonometric Expressions:... ✅✔ Trigonometry - Brian...
Brian McLogan
Evaluate Trig Functions With a Really Big Angle
In this video I am going to show you how to evaluate the six trigonometric functions when you have a really big angle. We will evaluate sine, cosine, tangent, secant, cosecant, cotangent. ⭐️ Evaluating Trigonometric Expressions: A...
Curated Video
Trigonometry and the Unit Circle
This video will explain trigonometric functions and how to use them with the unit circle.
Math Fortress
Calculus III: Two Dimensional Vectors (Level 9 of 13)
This video is a review of Two Dimensional Vectors. This video goes over unit vectors, standard unit vectors and direction of vectors.