Mathematicians
Modern
Citation Formats
General Reference
APA Style
BibTeX
German mathematician whose short career reshaped analysis, geometry and number theory. His 1854 habilitation lecture, On the Hypotheses which lie at the Foundations of Geometry, founded what is now called Riemannian geometry, curved spaces of any dimension described by a metric, which became the mathematical language of Einstein's general relativity six decades later. His 1859 paper on the distribution of primes introduced the Riemann zeta function and conjectured, without proving, what is now called the Riemann Hypothesis: that all its nontrivial zeros lie on a single critical line. He died of tuberculosis at thirty nine.
Facts
BirthplaceBreselenz, Kingdom of Hanover 1 Death PlaceSelasca, Kingdom of Italy, of tuberculosis 1 Nationality / Culture Defining ContributionFounded Riemannian geometry, the mathematics of curved space later used by general relativity; conjectured the Riemann Hypothesis about the zeta function and the primes. 1 Notable WorkUeber die Hypothesen, welche der Geometrie zu Grunde liegen (1854); Ueber die Anzahl der Primzahlen unter einer gegebenen Groesse (1859) 1 Cross-Tradition Connections
Associated With
Conjectures Posed
In Branch
Sources
1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
Manifold (Wikipedia)
Wikimedia FoundationAssociated With: Manifold, history sectionQuote, Associated With: Manifold, history section
Riemann was the first one to do extensive work generalizing the idea of a surface to higher dimensions.
Complex Analysis (Wikipedia)
WikipediaIn Branch: Complex Analysis, History sectionQuote, In Branch: Complex Analysis, History section
Important mathematicians associated with complex numbers include Euler, Gauss, Riemann, Cauchy, Weierstrass, and many more in the 20th century.
Differential Geometry (Wikipedia)
WikipediaIn Branch: Differential Geometry, Intrinsic geometry sectionQuote, In Branch: Differential Geometry, Intrinsic geometry section
Riemann introduced the notion of a Riemannian metric and the Riemannian curvature tensor for the first time, and began the systematic study of differential geometry in higher dimensions.
Riemann Hypothesis (Wikipedia)
Wikimedia FoundationConjectures Posed: Riemann Hypothesis, Opening paragraphQuote, Conjectures Posed: Riemann Hypothesis, Opening paragraph
It was proposed by Bernhard Riemann, after whom it is named.
Reader Challenges (0 open reader challenges)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.
View At A Past Year
The atlas records no dated fact of its own for this entry, so there is no other year to choose.