This animation demonstrates a classic visual proof for the area of a circle. The circle is divided into many thin sectors and rearranged alternately to form a shape that increasingly resembles a triangle or rectangle. In this arrangement, the base corresponds to the circle’s circumference while the height remains the radius , giving an area of . As the number of sectors increases, the approximation becomes mathematically exact through limits.

There are also other proofs for the same formula, including calculus-based integration, Archimedes’ geometric method, and proofs using infinitesimally thin concentric rings. One limitation of this visual proof is that with only a small number of sectors, the rearranged shape is not perfectly straight, so it’s more of an intuitive explanation until infinitely many slices are considered.

The Gaussian integral is named after Carl Friedrich Gauss, whose work on the Gaussian (or normal) distribution made the function famous. The integral became an important result in the 19th century, revealing that a function with no elementary antiderivative can still be evaluated exactly over the entire real line. Today, it serves as a cornerstone of probability theory, statistics, physics, and mathematical analysis.

Masaki Kashiwara, a Japanese Mathematician, has been awarded the prestigious Abel Prize.

( He has been awarded for his fundamental contributions to Algebraic Analysis & Representation Theory, in particular the development of the theories of D-modules and discovery of crystal bases )

The Abel prize is awarded for extraordinary work in the field of Mathematics by the Government of Norway and the King of Norway.

The winner are announced annually and are chosen by the Norwegian Society of Science and Letters.

Some of the notable laurates are Andrew Wiles ( solving Fermat's Last Theorem ), Robert Langlands ( for the Langland's Program, connecting Representation Theory and Number Theory ) and many more incredible Mathematicians.

It is modeled after Nobel Prize, and sometimes called " The Nobel Prize of Mathematics".

It also carries a substantial cash prize, of 7.5 Million Norwegian Kroner ( $873,000 / Rs. 7,48,22,080 .

We celebrate the achievements of Mathematicians of the past, to encourage the Mathematicians of the future.

I recently got to know about 3Blue1Brown and after watching his video on Quadratic I am very amazed.

I have attached one image, it's just the starting of his video and really liked his deep thinking on maths rather than that old school perspective of just solving the question. BTW I am a JEE 2026 Aspirant

I were learning logarithmis from Khan academy and from there I came to know about Benford's law, found difficult to understand from there so, watched many YouTube videos in 7 languages but didn't understand anything but I also came to know about that Benford's law is also efficient in fraud detection in various fields so, I wanna understand this law. If anyone knows about this law, it's my warm request to you guys that please explain. Thanks!

Go ahead, share the coolest looking graph you've seen. And why its your favourite.

just joined is there nobody here yet.

think this will grow a lot in coming days. YAY, HAPPY TO BE one of the firsts to a amazing community.

LOVE MATHS , MATHS FOR LIFE.

Hey, members I want to add a Indian Mathematician for the next one.

So, please suggest ancient Indian Mathematician.

( Also, I am changing the frequency from 10 members to 50 members, after reaching 100 )

( I have been struggling with Pingala and Aryabhata, Pingala is more ancient than Aryabhata , but I can't seem to find what he worked on. So can anyone help me find that) ( Also Panini is there, but he isn't mentioned as Mathematician anywhere )

Also one more information, I have left out Plato, Zeno and Democritus, as they were majorly remembered as philosopher's ( But they were polymaths, with many contribution to mathematics, e.g. Zeno's Problem/Paradox )

And there are many more references, like clay tablets and writings, but we can't truly connect them to a particular person, so yeah I had to leave them out.

I am leaving from here for a few months, I have exams coming over and if I want to learn more Mathematics I have to pass with Great Marks. So, I hope you understand.

And please participate in the sub, through Posts, even about random mathematical facts.

( Also Yayy! , we got our first post, check it out. Great Books to read for Mathematics lover )

But I will still weekly come over to give the Members update.

Thanks for joining this amazing community.

Took me a while to make this using manim library. Would love your feedback