Mathematics insights presented through animations, formulas, pictures, graphics, quotes, books, history, and memes. Open DM.
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“Profound study of nature is the most fertile source of mathematical discoveries.”
- Joseph Fourier, The Analytical Theory of Heat (1822).
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Divide 1 by 998001… and the decimal starts counting: 000, 001, 002… all the way to 999. Except one number never shows up - the number is 998.
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"Probably 80% of the time you're completely stuck." - Ashoke Sen
The other 20% reshaped physics. Prof. Sen has been awarded the 2026 Oskar Klein Medal, the first Indian physicist to receive it, for his work on S-duality, black-hole entropy and string field theory.
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The Math Flow retweeted
“Philosophy is written in this grand book, the universe, which stands continually open before our eyes… It is written in the language of mathematics.”
- Galileo Galilei
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“Those laws are within the grasp of the human mind; God wanted us to recognize them by creating us after his own image so that we could share in his own thoughts.”
- Johannes Kepler
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The extraordinary legacy of the Bernoulli family.
The Bernoulli family was a remarkable dynasty of Swiss mathematicians and physicists who made significant contributions to various fields of science in the 17th and 18th centuries. The family produced 8 prominent academics, most notably Jacob, Johann, and Daniel Bernoulli, who were among the pioneers of calculus, differential equations, probability theory, and fluid mechanics.
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A coffee cup and a donut are the same object, topologically.
Stretch and bend, but never tear or glue. Each has exactly one hole, so one deforms continuously into the other. They are homeomorphic.
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