Numberphile Courses

A Miraculous Proof - Ptolemy's Theorem

Explore Ptolemy's Theorem with mathematician Zvezdelina Stankova, uncovering its elegant proof and connections to geometry. Discover the beauty and significance of this ancient mathematical concept.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

A Breakthrough in Graph Theory - Numberphile

Explore a breakthrough in graph theory, disproving Hedetniemi's conjecture through counterexamples. Delve into graph coloring, tensor products, and the implications of this mathematical discovery.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Approximating Irrational Numbers - Duffin-Schaeffer Conjecture

Explore the Duffin-Schaeffer Conjecture and its recent proof, delving into the fascinating world of irrational number approximations and their implications in number theory.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Darts in Higher Dimensions - Numberphile

Explore a fascinating mathematical puzzle involving darts and shrinking bullseyes in higher dimensions, featuring insights from 3Blue1Brown's Grant Sanderson.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

TREE vs Graham's Number - Numberphile

Explore the mind-bending concept of TREE vs Graham's Number, delving into successor functions, ordinal infinity, and the vastness of mathematical concepts beyond comprehension.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Navier-Stokes Equations

Explore the fascinating Navier-Stokes equations with Oxford mathematician Tom Crawford, discussing their significance and the $1 million Millennium Prize challenge they present.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Divisibility Tricks

Explore fascinating divisibility tricks with mathematician Tony Padilla, uncovering clever shortcuts for mental math and number theory concepts in this engaging Numberphile video.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

G-Conjecture - Numberphile

Explore h-vectors and the g-conjecture with mathematician June Huh, delving into higher-dimensional shapes, triangulation, and Euler's formula. Gain insights into complex mathematical concepts.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Cannons and Sparrows

Explore the fascinating mathematical problem of fair partitioning with Professor Günter Ziegler, delving into convex equipartitions and equivariant obstruction theory in this engaging Numberphile video.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Juggling by Numbers

Explore the mathematical patterns behind juggling with Colin Wright, uncovering the fascinating connection between numbers and this skillful art form.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Sandpiles

Explore the fascinating world of sandpiles and their fractal patterns with mathematician Luis David Garcia-Puente. Discover how simple rules create complex, beautiful structures in this engaging mathematical journey.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Perfect Shapes in Higher Dimensions

Explore platonic solids and regular polytopes in higher dimensions with Carlo Sequin, delving into complex geometric concepts and their fascinating properties.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Hunt for the Elusive 4th Klein Bottle

Explore Carlo Séquin's quest for the fourth type of Klein bottle, delving into complex topological concepts and mathematical curiosities in this engaging Numberphile video.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

The Bridges to Fermat's Last Theorem

Ken Ribet discusses the process of solving Fermat's Last Theorem, offering insights into real mathematical research and the collaborative nature of mathematical breakthroughs.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Sum of Natural Numbers - Second Proof and Extra Footage

Explore an alternative proof and additional insights on the intriguing sum of natural numbers, presented by physicists Ed Copeland and Tony Padilla from the University of Nottingham.

• YouTube
• 21 minutes
• Self-Paced
• Free Video