Mathlens

Mathlens MathLens makes mathematics genuinely understandable. New lecture every Sunday. Watch on YouTube:

Animated lectures on numerical methods & applied math — clear visuals, rigorous explanations, verified computations.

14/08/2026

This pizza turns into a rectangle. Two-thousand-two-hundred-year-old math, still works.

11/08/2026

Normally more measurements mean a better result. Not always. Fit a curve through 5 evenly spaced points and it's already rough. Through 17, and the ends of the curve plunge wildly downward — on a function that never even goes negative.

The middle got better every time. It's the edges that break.

10/08/2026

A temperature sensor doesn't actually measure temperature. It produces a voltage, and the factory has to translate. They measure it at three known temperatures, fit a curve through those three points, and that curve handles everything in between.

Simple idea, and it's inside almost every device you own.

05/08/2026

Given three points on a curve, you can work out the height anywhere in between — without ever figuring out what the curve actually is. Just blend the numbers in pairs, then blend the results.

Sailors used this method to find their longitude before GPS existed.

Shout out to my newest followers! Excited to have you onboard! Niranjan Surana, Akash Kumar, Kasenge BWalya, Céline Orte...
05/08/2026

Shout out to my newest followers! Excited to have you onboard! Niranjan Surana, Akash Kumar, Kasenge BWalya, Céline Ortega, Cyriac Thomas, Femi Ogunlade, Fernando Elvis Estacio Aylas, Evangelist Joseph Obasi Olu, Taha Etrepy, Chalanga Fernando, Nageswara Rao, मितेश चौधरी, Sameer Peedikakkandy, Jocelyn Juniosa Alnasco, Cesar Morales Cruz, Vincent Van Dijk, Biochemist Archie Twegbeh, Badreddine Kada, Hundesa Raga, Олександр Гутов, Ashfaq Tak, Seshu, Eldridge Pempelani Kondowe Epk Jr., Mathew Wakayo, Freshy P Maxwell, محمدو عالي, تائب حتی النخاع, Fintalabo Coulibaly, Nicolas David, Sameline Narindra, Tajudeen Alli, Marta Presová, Abinet Hailemariam, Vasudevan M S, Ed Casono, Moses Uche Eze, Olowogunle David, Itz Jóy Lóvê, Mwanga Micheal, Dhanush Xettri, Gatwech Ninding Kueth, Dar Yay Hla, Tecla Jesang, Estafano Majiok Wan, TuNaa TuNyyi, Bros Singl, Samiul Bsc, Ma Lourdes Marmol, Alif Syam, Toni Olufowora

04/08/2026

Joseph-Louis Lagrange has a formula named after him that he didn't discover — an Englishman published it 16 years earlier, and Euler found it independently in between.

But here's the part nobody mentions: Lagrange chaired the French commission that created the metric system. The metre and the kilogram came out of it in April 1795.

Born Giuseppe Lagrangia in Turin, self-taught, professor at nineteen.

03/08/2026

There's a way to split a secret into five pieces so that any three of them can rebuild it — but two of them get you almost nowhere. It's used to protect encryption keys, and the whole trick is fitting a curve through points.

Do you know where this gets used? Full lecture Sunday.

31/07/2026

"Quadratic convergence" sounds abstract — until you see it. After 10 steps, one
method gives you 10 correct digits and the other gives you 1024. Same effort. 🤯

That's the difference between adding one digit each step and DOUBLING them —
and it's the whole reason Newton's method feels like magic.

What's the most surprising place you've seen doubling sneak up on you? 👇
Full explainer in Episode 7 — link in the comments.

30/07/2026

Five ways to find the same root — and they are NOT equally fast. Can you pick
the winner before the end? 👀

Bisection, fixed-point, secant, Müller and Newton all chase one root of
x³ − x − 2. Ranked by steps to 9 correct digits… with a tie almost nobody sees
coming.

Drop your guess below 👇
Full race in Episode 7 — link in the comments.

29/07/2026

Newton's method is supposed to be the FAST one. Here's the case where it's no
quicker than the simplest method there is. 🤯

On a simple root it doubles your correct digits every step. But hand it a
repeated root — like f(x) = (x−1)² — and it slows to a crawl, exactly as slow
as bisection.

Ever been burned by a "fast" algorithm that quietly wasn't? 👇
Full breakdown in Episode 7 — link in the comments.

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