Felix Klein

David Hilbert’s 23 Fundamental Problems

David Hilbert’s 23 Fundamental Problems

On August 8, 1900 David Hilbert, probably the greatest mathematician of his age,  gave a speech at the Paris conference of the International Congress of Mathematicians, at the Sorbonne, where he presented 10 mathematical Problems (out of a list of 23), all unsolved at the time, and several of them were very influential for 20th century mathematics. “Who of us would not be glad to lift the veil behind which the future…
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Every Set can be Well Ordered – Ernst Zermelo

Every Set can be Well Ordered – Ernst Zermelo

On July 27, 1871, German logician and mathematician Ernst Zermelo was born. Zermelo’s work had major implications for the foundations of mathematics. He is known for his role in developing Zermelo–Fraenkel axiomatic set theory and his proof of the well-ordering theorem. “…self-evidence … must not be confused with … provability.” – Ernst Zermelo The Son of a Grammar School Professor Zermelo was the son of a grammar school professor and attended the…
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Camille Jordan and the Cours d’Analyse.

Camille Jordan and the Cours d’Analyse.

On January 5, 1838, French mathematician Marie Ennemond Camille Jordan was born. Jordan is known both for his foundational work in group theory and for his influential Cours d’analyse. Early Years Camille Jordan was born in Lyon, France, to Esprit-Alexandre Jordan, an engineer who had been educated at the École Polytechnique, and, Joséphine Puvis de Chavannes. Jordan studied at the Lycée de Lyon and at the Collège d’Oullins. He entered the École…
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Felix Klein and the Klein-Bottle

Felix Klein and the Klein-Bottle

On April 25, 1849, German mathematician and mathematics educator Felix Klein was born. Klein is known for his work in group theory, complex analysis, non-Euclidean geometry, and on the connections between geometry and group theory. His 1872 Erlangen Program, classifying geometries by their underlying symmetry groups, was a hugely influential synthesis of much of the mathematics of the day. Klein also devised the Klein-bottle, a one-sided surface which, if traveled upon, could…
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