Final Remarks

  • John M. Howie
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

The purpose of this very brief final chapter is to make the point that complex analysis is a living topic. The first section describes the Riemann Hypothesis, perhaps the most remarkable unsolved problem in mathematics. Because it requires a great deal of mathematical background even to understand the conjecture, it is not as famous as the Goldbach Conjecture (every even number greater than 2 is the sum of two prime numbers) or the Prime Pairs Conjecture (there are infinitely many pairs (p, q) of prime numbers with q = p + 2) but it is hugely more important than either of these, for a successful proof would have many, many consequences in analysis and number theory.

Keywords

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Notes

  1. 1.
    Godfrey Harold Hardy, 1877–1947.Google Scholar
  2. 2.
    Jacques Salomon Hadamard, 1865–1963.Google Scholar
  3. 3.
    Charles Jean Gustave Nicolas Baron de la Vallée Poussin, 1866–1962.Google Scholar
  4. 4.
    Edward Charles Titchmarsh, 1899–1963.Google Scholar
  5. 5.
    Arthur Cayley, 1821–1895.Google Scholar
  6. 6.
    Isaac Newton, 1643–1727.Google Scholar
  7. 7.
    Gaston Maurice Julia, 1893–1978.Google Scholar
  8. 8.
    Benoit Mandelbrot, 1924–.Google Scholar

Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • John M. Howie
    • 1
  1. 1.School of Mathematics and Statistics, Mathematical InstituteUniversity of St AndrewsNorth Haugh, St Andrews, FifeUK

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