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By Alexandru Buium
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Extra resources for Differential algebra and diophantine geometry
Unlike Einstein, later, he did not leave the gymnasium before taking the Abitur (the examination by means of which a student qualified to enter the university). A member of the Hilbert family said years afterwards when she was an old lady: "All I know of Uncle David is that his whole family considered him a bit off his head. His mother wrote his school essays for him. On the other hand, he could explain mathematics problems to his teachers. " Already he had found the school subject which was perfectly suited to his mind and a source of inexhaustible delight.
He directed their attention to the most famous unsolved problem in the theory - what was known as "Gordan's Problem" after Klein's friend Gordan at Erlangen - and told them at length about his correspondence with Sylvester concerning the latter's efforts to solve it. "The way Hermite talked about other, non-scientific topics proves that he has kept his youthful attitude into old age," Hilbert wrote admiringly to Klein. While Hilbert was having these stimulating corttacts in Paris, Minkowski was still soldiering in Konigsberg.
Hurwitz's first mathematical work was published in collaboration with Schubert while he was still in the gymnasium. His later studies gave him an exceptionally wide background in the mathematics of the day. He received his doctor's degree from Felix Klein, one of the most spectacular of the younger mathematicians in Germany at that time. He attended the lectures of the great men in Berlin and then moved on to Gottingen, where he did impressive work in function theory. He was a sweet-tempered young man who loved music almost as much as mathematics and played the piano beautifully.