3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 11
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
How (and why) to raise e to the power of a matrix | DE6
Exponentiating matrices, and the kinds of linear differential equations this solves.
3Blue1Brown
Abstract vector spaces: Essence of Linear Algebra - Part 15 of 15
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
PBS
How Big are All Infinities Combined? (Cantor's Paradox)
Infinities come in different sizes. There's a whole tower of progressively larger "sizes of infinity". So what's the right way to describe the size of the whole tower?
PBS
The Geometry of SET
In the card game SET, what is the maximum number of cards you can deal that might not contain a SET?
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 15
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
Music And Measure Theory
How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.
TED Talks
Ruth Chang: How to make hard choices
Here's a talk that could literally change your life. Which career should I pursue? Should I break up -- or get married?! Where should I live? Big decisions like these can be agonizingly difficult. But that's because we think about them...
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
TED Talks
TED: How to get serious about diversity and inclusion in the workplace | Janet Stovall
Imagine a workplace where people of all colors and races are able to climb every rung of the corporate ladder -- and where the lessons we learn about diversity at work actually transform the things we do, think and say outside the...
PBS
Can We Combine pi & e to Make a Rational Number?
Can you produce a rational number by exchanging infinitely many digits of pi and e?
PBS
A Hierarchy of Infinities
There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.
MinutePhysics
How to Count Infinity
"Some infinities are bigger than other infinities" - Hazel Grace Lancaster, in "The Fault in Our Stars," by John Green
TED-Ed
TED-Ed: How big is infinity? - Dennis Wildfogel
Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions.
PBS
The Multiplication Multiverse
What happens if you multiply things that aren't numbers? And what happens if that multiplication is not associative?
Curated Video
Imaginary Numbers
Why did mathematicians invent imaginary numbers, and why have they become so important today? Maths - Number A Twig Math Film. Reinforce and extend the learning required by the curriculum. Twig’s math films show abstract concepts in...
Curated Video
Types of Number in Maths: Part One
This video will give you a clear and concise overview of the different types of numbers you'll encounter in mathematics. We focus on the different types of numbers within the Real Number category, including natural, whole, integers,...
Curated Video
Deep Learning - Crash Course 2023 - Applications of Data
In this video, we will look at the different actions we can perform on data to fulfil our requirements. This clip is from the chapter "Getting the Basics Right" of the series "Deep Learning - Crash Course 2023".In this section, you will...
Curated Video
Repeating Decimals to Fractions
In this math video we will rewrite repeating decimals as fractions. You will learn how to algebraically transform a repeating decimal to a fraction in three easy steps. We will write two equivalent equations that represent the repeating...
Math Fortress
Algebra II: Introduction to Real Numbers | Natural, Integers, Rational, Irrational Numbers
This video goes over the basics of the real number system that is mainly used in Algebra. The video covers, natural numbers, integers, rational numbers, and irrational numbers.
Brian McLogan
Find the Domain of a Rational Function | Compilation
In this video I will work through 5 different examples helping you understand how to find the domain of a rational function. ⭐️Find the Domain of a Rational Radical Function - • Find the Domain of a Rational Radical... ⭐️ Find the Domain...