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)