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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
“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
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.
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.
“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
On this day in 1759, Jacob II Bernoulli was born in Basel into the most remarkable family in the history of mathematics: the Bernoulli family.
Three golden rectangles, set mutually perpendicular, quietly define a regular icosahedron. Their twelve corners are exactly its twelve vertices.