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Today, mathematics and physics are still powerfully influenced by his work and his vision.
David Hilbert was born on January 23, 1862, in Königsberg, Prussia, on the Baltic Sea.
In 1900 Hilbert took a sweeping overview of mathematics, defining his famous 23 problems.
In 1868, Paul Gordan had been able to prove the theorem, but for only two variables: three or more variables were simply too time consuming to prove.
Hilbert used an entirely new abstract strategy for his proof, establishing that the theorem was true for an arbitrary number of variables.
Sample or not, since Hilbert first posed the 23 Problems, a huge amount of work has been done seeking the answers.
Mathematicians solved some of the problems within a few years, and others later, but some remain unsolved.
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This was a major advance in algebraic number theory.
In 1899 Hilbert published Hilbert’s new axioms of geometry replaced those of Euclid from over 2,000 years earlier, unifying two-dimensional and three-dimensional geometry into one system.
Hilbert would spend the rest of his career at Göttingen.
In 1902, age 40, he became co-editor of the world’s leading mathematical journal, until 1939. His knowledge of mathematics was unusually broad as well as deep, and he contributed to several areas of mathematics and also physics.
His mathematics teacher, whose name was Hermann von Morstein, wrote a note of recommendation for him, saying: Hilbert decided to stay close to home: in 1880, age 18, he enrolled to study mathematics at the University of Königsberg. While studying for his degrees, Hilbert made friends with two other exceptionally talented mathematicians, Hermann Minkowski, a fellow student, and Adolf Hurwitz, an associate professor.