The Math Flow

The "Basel Problem" was one of the most famous challenges in 17th-century mathematics. It asked for the precise sum of the reciprocals of the squares of the natural numbers. It defeated many of the top mathematicians, including Jacob Bernoulli, Johann Bernoulli, Daniel Bernoulli, Leibniz, Stirling, de Moivre and others. In 1734, at the age of 28, Leonhard Euler stunned the mathematical world by proving that the sum equals π²/6.

@g3rald_ So many people call it that, and I think it's not even wrong.🤔

@TheMathFlow 😂😂 In my first year I called it Hospitals rule 😂

@backslashvarphi F=ma has way more wild forms compared to this one.🧐

bruh i thought F was ma this whole time??

@Aaron30291557 It has to be like this only. :)

@TheMathFlow 😂Real and vivid

@amritwt One genius in a century.

@Cincinnati_Son Everything is surprising about it.

@TheMathFlow I mean that volume being pi may be just as surprising.

Gabriel's Horn is a geometric figure formed by rotating the curve y = 1/x for x ≥ 1 around the x-axis. It has a paradoxical property that it has a finite volume but an infinite surface area.

All the beauty of the universe is in mathematical patterns.

The Geometry of a Derivative:👇

Boolean Algebra was invented by George Boole in his 1854 book An Investigation of the Laws of Thought. It works with only 0 (False) & 1 (True) using three operations: • AND • OR • NOT Today, it has become the fundamental language of the digital age. Every microchip, every smartphone, and every piece of software running today is simply Boolean algebra operating at the speed of light.

Proof of the irrationality of √2.

@ss04072012 Oh...may be beause its fundamental to Calculus.

@TheMathFlow An IIT JEE favorite topic .Every year there are questions on this.The trick is to form the delta x correctly and then the answer follows easily.

The Riemann integral was the first rigorous definition of the integral of a function on an interval, created by Bernhard Riemann. It formulates the definite integral, which we use in calculus.

Understanding Viviani's Theorem:👇

@craigzLiszt We ended up at a full circle from where we started.

हिंदी सीखना बहुत फ़ायदेमंद है

Visualizing Calculus: The Riemann Sum👇

Greek Alphabet Chart:👇

@joseangeluruet1 Thank you very much. :)

@TheMathFlow So cute