The Blind Mathematician Who Saw Pi Beyond Infinity
Автор: Math Coder
Загружено: 2025-12-26
Просмотров: 21
How can an infinite sum of fractions lead to π² / 6? For decades, Europe’s greatest mathematicians were haunted by a deceptively simple question:
What is the exact value of 1 + 1/4 + 1/9 + 1/16 + 1/25 + …
They knew the series converged. They knew it was less than 2. But no one could find its precise value. Until Leonhard Euler.
In this video, we follow the remarkable story of how a nearly blind mathematician dared to manipulate infinity itself — using Taylor series, trigonometric functions, and pure intuition — to solve what became known as the Basel Problem.
You’ll see how Euler connected: infinite series to polynomials, sine functions to their roots, and, astonishingly, π to an infinite sum of reciprocal squares.
This is not just a solution. It’s a turning point in the history of mathematics — one that reshaped analysis forever.
No advanced prerequisites required. Just curiosity, imagination, and a willingness to follow Euler into infinity.
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