Numberphile Courses

A Number to the Power of a Matrix - Understanding Exponential Matrix Operations

Explore the fascinating mathematical concept of raising the constant e to a matrix power, featuring Oxford mathematician Tom Crawford's engaging explanation of this complex operation.

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

The Stein Paradox

Discover how the Stein Paradox challenges fundamental assumptions in statistics, revealing counterintuitive truths about estimation and decision-making in mathematical analysis.

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

The Big Daddy of Infinite Integrals - Exploring the Gaussian Integral

Discover the Gaussian Integral, the most important infinite integral in mathematics, through expert exploration of its elegant proof and wide-ranging applications.

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

The 9-Sided Enneahedron

Discover the fascinating Herschel Enneahedron, a unique 9-sided polyhedron, and learn about its mathematical properties and construction through engaging geometric exploration.

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

A Problem with Infinite Hotel Keys

Explore a fascinating mathematical problem involving infinite hotel keys, presented by Tom Crawford. Discover the solution and delve into the mind-bending concepts of infinity in this engaging Numberphile video.

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

The Snakey Hexomino - An Unsolved Problem in Animal Tic-Tac-Toe

Explore the fascinating mathematical puzzle of the Snakey hexomino in Tic-Tac-Toe, where Sophie Maclean explains why this unique shape remains an unsolved challenge in game theory and combinatorics.

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

The Frobenius Problem and Numerical Semigroups

Explore the fascinating Frobenius Number Problem and numerical semigroups with Professor Eisenbud, discovering mathematical patterns in prime numbers and Sylvester's Theorem through engaging examples.

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

Multi-Magic Squares - A Mathematical Breakthrough

Delve into the fascinating world of multi-magic squares with mathematician Matt Parker as he reveals a groundbreaking mathematical discovery and explores its implications.

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

Conway's Base 13 Function

Discover John Conway's fascinating Base 13 Function through mathematical demonstrations and insights into this remarkable numerical concept.

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

Immense Subcubic Graphic Numbers

Explore the fascinating world of immense subcubic graphic numbers with mathematician Richard Elwes in this engaging mathematical deep dive.

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

A Fascination with Fractured Friezes

Explore the fascinating mathematics of frieze patterns and polygons with Professor Eleonore Faber, discovering what happens when these geometric structures are cut and transformed.

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

Way Bigger Than Graham's Number - The Goodstein Sequence

Explore the mind-bending Goodstein Sequence, a mathematical concept that generates numbers far larger than Graham's Number, with mathematician Richard Elwes explaining its fascinating properties and significance.

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

The Change from Roman Numerals to Indo-Arabic Number System

Explore the fascinating transition from Roman to Indo-Arabic numerals through the lens of Shakespeare's era, featuring historical insights from Philip Henslowe's theatrical diary.

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

Mathematical Knot Surfaces and Their Properties

Explore the fascinating intersection of mathematics and crochet as experts Sophie Maclean and Ayliean MacDonald demonstrate how knot theory relates to surfaces and topology through hands-on examples.

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

The Secret of the Raffle Function - Epic Proof

Discover the raffle function through Zvezdelina Stankova's epic mathematical proof, revealing surprising connections in this in-depth exploration of advanced number theory.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video