Mathematical problems for the next century

  title={Mathematical problems for the next century},
  author={Stephen Smale},
  journal={The Mathematical Intelligencer},
  • S. Smale
  • Published 1 March 1998
  • Art
  • The Mathematical Intelligencer
V. I. Arnold, on behalf of the International Mathematical Union has written to a number of mathematicians with a suggestion that they describe some great problems for the next century. This report is my response. Arnold's invitation is inspired in part by Hilbert's list of 1900 (see e.g. [Browder, 1976]) and I have used that list to help design this essay. I have listed 18 problems, chosen with these criteria: 
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