fermat

Thân thiện

A student reads about Fermat in a mathematics textbook.

Definition

1. Proper noun:
   • A French mathematician: Fermat refers to Pierre de Fermat, a 17th-century French lawyer and mathematician. He is renowned for his foundational work in number theory and for contributions to the development of calculus and probability theory.

Usage Examples

• Proper noun:
  • Fermat's Last Theorem was one of the most famous unsolved problems in mathematics for centuries.
  • We studied Fermat's principle of least time in our optics class.
  • The correspondence between Fermat and Pascal helped establish the fundamentals of probability.

Advanced Usage

• "Fermatian" (adjective): Pertaining to or characteristic of the work or methods of Pierre de Fermat.
  • The proof employed a Fermatian approach to the number theory problem.

Variants and Related Words

• Fermat's Last Theorem (noun phrase): The conjecture, proven by Andrew Wiles in 1994, that no three positive integers a, b, and c satisfy the equation aⁿ + bⁿ = cⁿ for any integer value of n greater than 2.
• Fermat's Principle (noun phrase): In optics, the principle that the path taken by a ray of light between two points is the path that can be traversed in the least time.
• Fermat number (noun phrase): A positive integer of the form ( F_n = 2^{(2^n)} + 1 ), where n is a nonnegative integer.
• Fermat point (noun phrase): In geometry, a point that minimizes the total distance from itself to the vertices of a triangle.

Synonyms

• Pierre de Fermat: The full name.
• The Prince of Amateurs: A historical epithet referencing his status as an "amateur" mathematician who made profound contributions.

Related Phrases and Concepts

• Fermat's Little Theorem (noun phrase): A fundamental theorem in number theory stating that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.
• Method of infinite descent: A proof technique often associated with Fermat, used to show that certain Diophantine equations have no solutions.

Học thuật

Noun

1. French mathematician who founded number theory; contributed (with Pascal) to the theory of probability (1601-1665)

Từ đồng nghĩa

• Fermat
• Pierre de Fermat