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Bernhard Riemann

File:Georg_Friedrich_Bernhard_Riemann.jpeg · Wikimedia Commons · See Wikimedia Commons

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Bernhard Riemann

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Also known as Georg Friedrich Bernhard Riemann

German mathematician (1826–1866)

OverviewAI-generated

Georg Friedrich Bernhard Riemann was a mathematician born in 1826 and died in 1866. He is recognized in the Royal Society collection. His notable works include Partielle Differentialgleichungen und ihre Anwendungen auf physikalische Fragen, Ueber das Verschwinden der Theta-Functionen, Über die Hypothesen, welche der Geometrie zu Grunde liegen, Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse, and Beiträge zur Theorie der durch die Gauss'sche Reihe F([alpha], [beta], [gamma], [chi]) darstellbaren Functionen.

Riemann has a presence in various databases, with a Commons category and gallery dedicated to him. He is referenced by 510 other encyclopedia articles. While some sources list a work count of five or seventeen, his contributions are documented across multiple platforms.

Synthesized by Vinony from 15 facts across 6 sources: Wikidata, Last.fm, Crossref, Open Library, Vinony collections, Vinony graph. Generated from structured data (not the Wikipedia text) and checked against those facts — may still contain errors.

Person · Open Library

Born
1826
Died
1866
Works
17

Top works

  • Partielle Differentialgleichungen und ihre Anwendungen auf physikalische Fragen
  • Ueber das Verschwinden der Theta-Functionen
  • Über die Hypothesen, welche der Geometrie zu Grunde liegen
  • Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse
  • Beiträge zur Theorie der durch die Gauss'sche Reihe F([alpha], [beta], [gamma], [chi]) darstellbaren Functionen

via Open Library + Wikidata

Music · MusicBrainz

via MusicBrainz · CC0

Listeners · Last.fm

Listeners
1
Total plays
1

<a href="https://www.last.fm/music/Bernhard+Riemann">Read more on Last.fm</a>

via Last.fm · Bernhard Riemann

Recent publications · Crossref

5 total works indexed

  1. Global burden of 369 diseases and injuries in 204 countries and territories, 1990–2019: a systematic analysis for the Global Burden of Disease Study 2019

    · 2020 · cited 15,989x

  2. The WEKA data mining software

    · 2009 · cited 13,091x

  3. Global, regional, and national incidence, prevalence, and years lived with disability for 354 diseases and injuries for 195 countries and territories, 1990–2017: a systematic analysis for the Global Burden of Disease Study 2017

    · 2018 · cited 10,999x

  4. A tutorial on support vector regression

    · 2004 · cited 10,204x

  5. 2018 ESC/ESH Guidelines for the management of arterial hypertension

    · 2018 · cited 8,303x

via Crossref · CC0

Quotes

  • “Nevertheless, it remains conceivable that the measure relations of space in the infinitely small are not in accordance with the assumptions of our geometry [Euclidean geometry], and, in fact, we should have to assume that they are not if, by doing so, we should ever be enabled to explain phenomena in a more simple way.”
  • “Magnitude-notions are only possible where there is an antecedent general notion which admits of different specialisations. According as there exists among these specialisations a continuous path from one to another or not, they form a continuous or discrete manifoldness; the individual specialisations are called in the first case points, in the second case elements, of the manifoldness.”
  • “With every simple act of thinking, something permanent, substantial, enters our soul. This substantial somewhat appears to us as a unit but (in so far as it is the expression of something extended in space and time) it seems to contain an inner manifoldness; I therefore name it "mind-mass." All thinking is, accordingly, formation of new mind masses.”
  • “Mind-masses entering the soul appear to us as ideas, the quality of the latter depending on the inner state of the former.”
  • “Forming mind-masses amalgamate, combine or compound themselves in definite degree, partly with each other, partly with older mind-masses. The manner and strength of these combinations depend on conditions which are but imperfectly recognised by Herbart... They depend chiefly upon the inner relationship of the mind-masses.”
  • “The soul is a compact of mind-masses combined in a most intimate and manifold manner. It grows constantly by accession of mind-masses, and upon these depend its development.”

via Wikiquote · CC BY-SA

~18 min read

Encyclopedic overview

Georg Friedrich Bernhard Riemann (/ˈriːmɑːn/; German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ; 17 September 1826 – 20 July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rigorous formulation of the integral, the Riemann integral, and his work on Fourier series. His contributions to complex analysis include most notably the introduction of Riemann surfaces, breaking new ground in a natural, geometric treatment of complex analysis. His 1859 paper on the prime-counting function, containing the original statement of the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry, Riemann laid the foundations of the mathematics of general relativity. He is considered by many to be one of the greatest mathematicians of all time.

Biography

Excerpted from Wikipedia’s “Bernhard Riemann” article, available under the CC BY-SA 4.0 licence.

Gallery (3)

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via Wikidata sitelinks · CC0