A Theory of Asymptotic Series

  title={A Theory of Asymptotic Series},
  author={George Neville Watson},
  journal={Philosophical Transactions of the Royal Society B}
  • G. Watson
  • Mathematics
  • Philosophical Transactions of the Royal Society B
In their efforts to place mathematical analysis on the firm est possible foundations, Abel and Cauchy found it necessary to banish non-convergent series from their work ; from that time until a quarter of a century ago the theory o f divergent series was, in general, neglected by mathematicians. A consistent theory of divergent series was, however, developed by Poincare in 1886, and, ten years later, Borel enunciated his theory of summability in connection with oscillating series. So far as… 

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