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In 1824 Gräffe went to Göttingen where he attended lectures by Gauss and Thibaut. While in Göttingen, Gräffe wrote a prize winning dissertation. He became a lecturer in Zurich, becoming professor there in 1860.
Gräffe is best remembered for his method of numerical solution of algebraic equations, developed to answer a prize question of the Berlin Academy of Sciences. It is particularly suitable for methods developed for using computers to solve mathematical problems.
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