Definition

1. Proper noun:
   • David Hilbert: A renowned German mathematician (1862-1943) who made fundamental contributions to a wide range of mathematical fields, including invariant theory, axiomatic geometry, and mathematical logic. He is one of the most influential mathematicians of the late 19th and early 20th centuries.

Usage Examples

• Proper noun:
  • David Hilbert formulated a famous list of 23 unsolved problems in mathematics in 1900.
  • The foundational work of David Hilbert in proof theory and formal logic was groundbreaking.
  • Many concepts in functional analysis are associated with the name David Hilbert.

Advanced Usage

• "Hilbert's problems": Refers to the 23 mathematical problems presented by David Hilbert at the International Congress of Mathematicians in Paris in 1900, which set the course for much of 20th-century mathematical research.

  • Solving one of Hilbert's problems is considered a great achievement in mathematics.

• "Hilbert space": A central concept in functional analysis, named after David Hilbert. It is an abstract vector space possessing the structure of an inner product, allowing for the generalization of Euclidean space.

  • Quantum mechanics relies heavily on the mathematics of Hilbert space.

Variants and Related Words

• Hilbertian (adj): Pertaining to or characteristic of the work or ideas of David Hilbert.
  • The proof followed a Hilbertian approach to formalism.

Synonyms

• The German mathematician: A common descriptive synonym used to refer to him in context.
  • The German mathematician who proposed the famous 23 problems was David Hilbert.

Noun

1. German mathematician (1862-1943)