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Why Mathematicians Study Knots

October 31, 2022

Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.

How Isaac Newton Discovered the Binomial Power Series

August 31, 2022

Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.

The Sordid Past of the Cubic Formula

June 30, 2022

The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

How We Can Make Sense of Chaos

March 2, 2022

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

An Ancient Geometry Problem Falls to New Mathematical Techniques

February 8, 2022

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

The Webb Space Telescope Will Rewrite Cosmic History. If It Works.

December 3, 2021

The James Webb Space Telescope has the potential to rewrite the history of the cosmos and reshape humanity’s position within it. But first, a lot of things have to work just right.

The Uselessness of Useful Knowledge

October 20, 2021

Today’s powerful but little-understood artificial intelligence breakthroughs echo past examples of unexpected scientific progress.

The Journey to Define Dimension

September 13, 2021

The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

How Maxwell’s Demon Continues to Startle Scientists

April 22, 2021

The thorny thought experiment has been turned into a real experiment — one that physicists use to probe the physics of information.

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