Mathematical problems for the next century
type: Item
instance of: scholarly article
title: Mathematical problems for the next century
zbMATH Open document ID: 0947.01011
DOI: 10.1007/BF03025291
published in: The Mathematical Intelligencer
publication date: 2000-10-11T00:00:00Z
review text: The author lists 18 problems, chosen with respect to three criteria: (i) Simple statement; (ii) Personal acquaintance with the problem; (iii) Belief that the question, its solution, partial results, or even attempts at its solution are likely to have great importance for mathematics and its development in the next century. The problems are: 1. The Riemann hypothesis, 2. The Poincaré conjecture, 3. Does P = NP?, 4. Integer zeros of a polynomial, 5. Height bounds for Diophantine curves, 6. Finiteness of the number of relative equilibria in celestial mechanics, 7. Distribution of points on the 2-sphere, 8. Introduction of dynamics into economic theory, 9. The linear programming problem, 10. The closing lemma, 11. Is one-dimensional dynamics generally hyperbolic?, 12. Centralizers of diffeomorphisms, 13. Hilbert's 16th problem, 14. Lorentz attractor, 15. Navier-Stokes equations, 16. The Jacobian conjecture, 17. Solving polynomial equations, 18. Limits of intelligence.
Mathematics Subject Classification ID: 01A67
Mathematics Subject Classification ID: 00A05
zbMATH DE Number: 1516323
Wikidata QID: Q29999839
author: Stephen Smale
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03025291
OpenAlex ID: W2044413922
description: scientific article; zbMATH DE number 1516323