Georg Friedrich Bernhard Riemann

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Definition

Proper noun: - Georg Friedrich Bernhard Riemann: A 19th-century German mathematician who made foundational contributions to analysis, number theory, and differential geometry, most notably as a pioneer of non-Euclidean geometry.

Usage
  • Proper noun:
    • The theorems of Georg Friedrich Bernhard Riemann underpin much of modern theoretical physics.
    • Our study of curved spaces begins with the work of Georg Friedrich Bernhard Riemann.
Advanced Usage
  • "Riemannian": Pertaining to the mathematical concepts developed by Bernhard Riemann.
    • The physicist worked with Riemannian geometry to describe spacetime.
Variants and Related Words

  • Riemannian (adj): Of or relating to the geometry developed by Bernhard Riemann.

    • Einstein's general theory of relativity uses a Riemannian manifold framework.

  • Riemann hypothesis (n): A famous unsolved conjecture in number theory, proposed by Bernhard Riemann.

    • The Riemann hypothesis is one of the Clay Mathematics Institute's Millennium Prize Problems.
Synonyms
  • Bernhard Riemann: The most common shortened form of the full name.
  • Riemann: The surname used alone to refer to the mathematician, especially in technical contexts (e.g., Riemann geometry, Riemann integral).
Noun
  1. pioneer of non-Euclidean geometry (1826-1866)

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