Mathologer Courses

The Best A – A ≠ 0 Paradox

Explore a stunning visual resolution of a mathematical paradox, delving into logarithms, pi, and Riemann's rearrangement theorem in this engaging mathematical journey.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Powell's Pi Paradox - The Genius 14th Century Indian Solution

Explore the 14th-century Indian mathematician Madhava's groundbreaking calculus discoveries, including an intuitive explanation of Powell's Pi Paradox and its connection to the famous Leibniz formula for pi.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Pythagoras Twisted Squares - Why Did They Not Teach You Any of This in School?

Explore the hidden depths of twisted squares, uncovering beautiful mathematical concepts like Fermat's theorem, Trithagoras, and the four bugs problem through engaging visuals and explanations.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Secrets of the Lost Number Walls

Explore the fascinating world of number walls, including oracle predictions, windows, zero patterns, and determinants. Discover the beauty and complexity of this lesser-known mathematical concept.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Why Is Calculus So Easy?

Demystifying calculus through intuitive explanations, visual aids, and practical examples. Covers differential and integral calculus, Leibniz notation, and key rules, making complex concepts accessible and engaging.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Heron's Formula - What Is the Hidden Meaning of 1 + 2 + 3 = 1 x 2 x 3?

Explore Heron's formula and its extensions, uncovering the hidden meaning behind 1+2+3=1x2x3 and delving into geometric proofs and mathematical curiosities.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Why Don't They Teach Newton's Calculus of What Comes Next?

Explore discrete calculus, Newton-Gregory interpolation, and sequence analysis. Uncover connections to Fibonacci, Pascal's triangle, and Maclaurin series in this alternate mathematical reality.

• YouTube
• 47 minutes
• On-Demand
• Free Video

The Iron Man Hyperspace Formula Really Works - Hypercube Visualising, Euler's N-D Polyhedron Formula

Explore higher-dimensional spaces through mathematical miracles, Euler's polyhedron formula, hypercube visualization, and shadow play. Uncover connections to Iron Man and discover the power of (x+2) in geometry.

• YouTube
• 31 minutes
• On-Demand
• Free Video

The Moessner Miracle - Why Wasn't This Discovered for Over 2000 Years?

Explore the fascinating Moessner Miracle, a mathematical gem discovered 70 years ago. Learn proofs, amazing facts, and connections to other mathematical concepts in this accessible and engaging presentation.

• YouTube
• 26 minutes
• On-Demand
• Free Video

The Pigeon Hole Principle - 7 Gorgeous Proofs

Explore seven fascinating applications of the Pigeon Hole Principle in mathematics, from hairy twins to Rubik's cube properties and a mind-blowing card trick.

• YouTube
• 34 minutes
• On-Demand
• Free Video

The Ultimate Tower of Hanoi Algorithm

Explore advanced Tower of Hanoi algorithms for multiple pegs, including optimal solutions, the Hanoi constant, and simplified execution methods. Gain insights into complex puzzle-solving techniques.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Explaining the Bizarre Pattern in Making Change for a Googol Dollars - Infinite Generating Functions

Explore the fascinating mathematics behind making change for a googol dollars, uncovering surprising patterns and using infinite generating functions to solve this complex problem.

• YouTube
• 31 minutes
• On-Demand
• Free Video

The Arctic Circle Theorem - Why Do Physicists Play Dominoes?

Explore the fascinating Arctic Circle Theorem through domino tilings, mathematical formulas, and visual demonstrations. Discover connections between physics, geometry, and combinatorics in this engaging mathematical journey.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Secrets of the Sum of Sums - Paradoxical Harmonic Series

Explore the fascinating properties of the harmonic series, from balanced warm-ups to leaning towers of math, and discover surprising insights into this infinite mathematical sequence.

• YouTube
• 47 minutes
• On-Demand
• Free Video

The Hardest "What Comes Next?" - Euler's Pentagonal Formula

Explore Euler's pentagonal number theorem, its connection to prime number detection, and the refinement of Fibonacci growth rule for partition numbers. Delve into advanced mathematical concepts with historical context.

• YouTube
• 54 minutes
• On-Demand
• Free Video