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Articles

Olivier and Abel on Series Convergence: An Episode from Early 19th Century Analysis

Pages 347-355 | Published online: 11 Apr 2018

REFERENCES

  • E. Hairer and G. Wanner, Analysis by Its History, Springer-Verlag, Berlin, Germany, 1996.
  • I. Grattan-Guiness, Development of the Foundations of Mathematical Analysis from Euler to Riemann, M.I.T. Press, Cambridge, MA, 1970.
  • L. Olivier, Remarques sur les series infinies et leur convergence, Journal für die reine und angewandte Mathematik, 2 (1827), 31–44.
  • J. Maxfield and M. Maxfield, Abstract Algebra and Solution by Radicals, W.B. Saunders Company, Philadelphia, PA, 1971.
  • N. Abel, Note sur le memoire de Mr. L. Olivier No. 4 du second tome de ce journal, ayant pour tire ‘Remarques sur les series infinies et leur convergence,’ Journal für die reine und angewandte Mathematik, 3 (1828), 79–81.
  • K. Knopp, Theory and Application of Infinite Series, Blackie and Son Ltd., London, UK, 1944.
  • O. Bekken, Abel and Convergence Tests, presented at the quadrennial meeting of the International Study Group on the Relations between History and Pedagogy of Mathematics (1992), Toronto, Canada, August 1992.

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