Mathologer Courses

Anti-Shapeshifters - Easy Visual Logs and Hyperbolic Trig

Explore visual logarithms, hyperbolic trigonometry, and mathematical curiosities through engaging demonstrations and proofs in this captivating video lecture.

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

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
• Self-Paced
• Free Video

The Painter's Paradox: Gabriel's Horn Without Calculus

Explore the painter's paradox and Gabriel's horn through innovative explanations, historical context, and mathematical insights, all without using calculus.

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

Fermat's Christmas Theorem - Visualising the Hidden Circle in Pi/4 = 1-1/3+1/5-1/7+...

Uncover the hidden circle in Leibniz's pi formula through geometric visualization. Explore the surprising connection between pi and odd numbers in this engaging mathematical journey.

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

Toroflux Paradox - Making Things Disappear with Math

Explore geometric paradoxes and mathematical illusions, including the Toroflux paradox, Cassini's Fibonacci identity, and the Get-off-the-Earth puzzle. Learn the math behind visual tricks and disappearing acts.

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

The Fix-the-Wobbly-Table Theorem

Explore the fascinating wobbly table theorem, its history, and mathematical proof. Learn how rotating rectangular tables can stabilize them on uneven surfaces, with insights into the underlying principles.

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

What's the Monkey Number of the Rubik's Cube?

Explore the concept of "Monkey number" in Rubik's cube solving, including random scrambling, virtual monkey solvers, and mathematical insights into cube configurations and solving strategies.

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

Euler's and Fermat's Last Theorems, the Simpsons and CDC6600

Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.

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

Visualising Pythagoras - Ultimate Proofs and Crazy Contortions

Explore visually stunning Pythagorean proofs and related theorems, including unique variations and lesser-known facts, in this engaging mathematical journey.

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

The Truth About 1+2+3+...=-1/12

Explores the controversial sum 1+2+3+...=-1/12, explaining mathematical concepts behind it, addressing misconceptions, and connecting it to the Riemann zeta function and Ramanujan's work.

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

Phi and the Tribonacci Monster

Explore the fascinating connections between the golden ratio, Fibonacci sequence, and tribonacci constant through mathematical miracles, formulas, and real-world applications.

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

Win a Small Fortune With Counting Cards - The Math of Blackjack and Co.

Explore the mathematics behind casino games like blackjack and roulette, including card counting techniques and strategies for gaining an edge over the house.

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

Ramanujan - Making Sense of 1+2+3+... = -1/12 and Co.

Explore the mathematical paradox of infinite sums equaling unexpected values, delving into Ramanujan's work, summation rules, and connections to the Riemann Zeta function.

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

The Futurama Theorem

Explore the mathematical solution to mind-switching chaos in Futurama, with clear explanations and bonus Stargate connections. Unravel the intricacies of body swapping dilemmas.

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

The Genius Equation - Deep Inside Ramanujan's Mind

Explore Ramanujan's mathematical genius through a deep dive into one of his beautiful identities, unraveling complex concepts and revealing the workings of a brilliant mind.

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