The Theory of Algebraic Number Fields

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The narrative details the collaboration between mathematicians Hilbert and Minkowski on a significant report for the Deutsche Mathematiker-Vereinigung in 1893. While Minkowski focused on rational number theory, Hilbert tackled algebraic number theory, completing his work by 1896. After Minkowski withdrew due to slower progress, Hilbert's manuscript, meticulously prepared with his wife's assistance, was published. The final report surpassed expectations, presenting a cohesive and elegant integration of complex developments in the field, earning high praise from the mathematical community.