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Doctor of Philosophy
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achievements algebraic number fields arithmetic assistant axiomatic method axioms beautiful become Berlin Bernays Blumenthal Brouwer calculus of variations century completely concepts consistency Courant David Hilbert Dirichlet Principle docent Einstein Emmy Noether Ewald existence fact Felix Klein finite number formal formulas foundations of geometry foundations of mathematics Franz functions Gauss German Gordan's Gottingen gymnasium Hermann Weyl Hubert's Hurwitz ideas idele important impressed infinite Institute integral equations interest invariants investigations Kathe Klein Konigsberg Kronecker Landau later lectures Lesezimmer logical mathe mathematical problem mathematicians matical maticians Noether non-euclidean geometry norm number theory p-adic paper Paris philosophical physicists physics Poincare prime ideals prime spots Privatdozent professor proof prove published quadratic question real numbers Richard Courant Riemann scientific seemed semester seminar set theory Siegel solution solved Strasse talk theorem theory of numbers thought tion University variables Weierstrass Weyl Zahlbericht Zurich