German mathematician (1826–1866)
He died at 39 and left behind a hypothesis that no one has proved in over 160 years — and if they do, the entire architecture of prime numbers shifts. Riemann didn't just solve problems; he redrew the map of where mathematics could go.
Born in 1826 in Germany, Georg Friedrich Bernhard Riemann trained in mathematics at a time when rigor was still being invented. He gave the integral its first airtight definition, then turned to complex analysis and introduced Riemann surfaces — a way to treat functions geometrically that cracked open the field. In 1859 he published a paper on prime distribution that tucked a conjecture into a footnote: the Riemann hypothesis, still unproven, still central. His work on differential geometry laid the groundwork for the mathematics Einstein would need half a century later for general relativity.…
Sourced, dated quotes from Bernhard Riemann
As is known, scientific physics dates its existence from the discovery of the differential calculus.
Magnitude-notions are only possible where there is an antecedent general notion which admits of different specialisations.
Definite portions of a manifoldness, distinguished by a mark or by a boundary, are called Quanta.
Measure-relations can only be studied in abstract notions of quantity, and their dependence on one another can only be represented by formulæ.
With every simple act of thinking, something permanent, substantial, enters our soul.
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