Stanislaw Ulam - Mathematics

Mathematics

From the publication of his first paper in 1929, during his days as a student, until his death, Ulam was constantly writing on mathematics. The list of Ulam's publications, which includes more than 150 papers, contains many on pure mathematics. Some topics represented here by a significant number of papers are: set theory (including measurable cardinals and abstract measures), topology, transformation theory, ergodic theory, group theory, projective algebra, number theory, combinatorics, and graph theory.

Ulam's colleague at Colorado, Jan Mycielski, has given his perspective on Ulam's contributions to mathematics. In their paper honoring the 100th anniversary of his birth, Ciesielski and Rassias give more insight, and note that, in March 2009, the Mathematical Reviews database contained an "amazing" 697 papers with the name "Ulam" in their titles. Paul Erdős has also commented on Ulam's work in mathematics.

Some notable results of this work are:

  • Borsuk–Ulam theorem
  • Mazur–Ulam theorem
  • Kuratowski–Ulam theorem
  • Hyers–Ulam–Rassias stability
  • Lucky number
  • Ulam spiral
  • Ulam conjecture (in Number Theory)
  • Ulam conjecture (in Graph theory)
  • Ulam's game
  • Ulam numbers

Read more about this topic:  Stanislaw Ulam

Famous quotes containing the word mathematics:

    “In mathematics he was greater
    Than Tycho Brahe, or Erra Pater:
    For he, by geometric scale,
    Could take the size of pots of ale;
    Resolve, by sines and tangents straight,
    If bread and butter wanted weight;
    And wisely tell what hour o’ th’ day
    The clock doth strike, by algebra.”
    —Samuel Butler (1612–1680)