PBS
Hacking at Quantum Speed with Shor's Algorithm
Classical computers struggle to crack modern encryption. But quantum computers using Shor's Algorithm make short work of RSA cryptography. Find out how.
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
Why do prime numbers make these spirals?
A curious pattern in polar plots with prime numbers, together with discussion of Dirichlet's theorem
Curated Video
Number Theory: Gauss
How Gauss found the sum of all the numbers between 1 and 100, in a matter of seconds, aged just seven! He had developed a formula for triangular numbers, and went on to be hailed as the Prince of Mathematics as he moved on to more...
Curated Video
Degrees of Separation: Erdős
Paul Erdős is the most published mathematician ever. To such an extent that now everyone in the world has an assigned 'Erdős number', showing the degrees of separation between their work and his! Maths - History Of Maths A Twig Math...
Curated Video
Sophie Germain for Kids | Bedtime History
In this video, we explore the life and achievements of Sophie Germain, a trailblazing mathematician whose work laid the foundation for many mathematical theories and advancements. Born in 1776 in Paris, Germain pursued mathematics...
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,...
Zach Star
Physics Vs Math - How to Pick the Right Major
This video is about physics vs math and how to know which major is right for you. You may have enjoyed them both in high school so of course you may want to major in one in college. The good news is that if you major in physics then you...
Science360
Math and its infinite connections - Scientists & Engineers on Sofas (and other furnishings)
Two parts math and one part writer make Jordan Ellenberg a very readable mathematician. Yes, Ellenberg is a professor of mathematics at the University of Wisconsin-Madison, with a Ph.D. in mathematics from Harvard that allows him to...
Zach Star
The Math Needed for Computer Science (Part 2) - Number Theory and Cryptography
The Math Needed for Computer Science (Part 2) Number Theory and Cryptography
Brian McLogan
What is the division algorithm
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
TED-Ed
The Mathematical Secrets of Pascal’s Triangle
This modern animation and discussion of the ancient secrets of Pascal's triangle manages to be topical, engaging, and mathematically deep all at the same time. A great introduction to the power of number theory across multiple math...
Domain of Science
The Map of Mathematics
How does all this math fit together? The resource creates a graphical view of the extent of mathematics. The map shows the pure and applied sides of studying mathematics and breaks them down into their many disciplines.
Khan Academy
Khan Academy: Computational Number Theory: Primality Test With Sieve
An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.
Khan Academy
Khan Academy: Computational Number Theory: Summary (What's Next?)
Why is factorization hard, yet generating primes easy? Where do we go from here?
Khan Academy
Khan Academy: Computational Number Theory: Running Time
What is a computer? How should we define the time needed to execute an algorithm?
Khan Academy
Khan Academy: Computational Number Theory: Time Space Tradeoff
What is our memory limit? How can save time at the expense of space?
Khan Academy
Khan Academy: Randomized Algorithms: Fermat's Little Theorem
Introduction to a key result in elementary number theory using a visualization with beads.
Khan Academy
Khan Academy: Greatest Common Divisor: Greatest Common Divisor
Example problems of determining the greatest common factor of two numbers by factoring those numbers first.
Khan Academy
Khan Academy: Vi Hart: 9.999 Reasons That .999 = 1
Video exploring number theory concepts such as real, hyperreal, and surreal numbers, and infinity. [10:01]
NPR: National Public Radio
Npr: Manjul Bhargava: An Artist of Music and Math
Twenty-eight-year-old Manjul Bhargava has found a way to fuse his two loves (number theory and playing the tabla): he claims that there are dozens of hidden rhythms in Indian music that correspond to complex number theories. Check out...