Euler and Infinite Series

  title={Euler and Infinite Series},
  author={Morris Kline},
  journal={Mathematics Magazine},
  • M. Kline
  • Published 1 November 1983
  • Mathematics
  • Mathematics Magazine
The history of mathematics is valuable as an account of the gradual development of the many current branches of mathematics. It is extremely fascinating and instructive to study even the false steps made by the greatest minds and in this way reveal their often unsuccessful attempts to formulate correct concepts and proofs, even though they were on the threshold of success. Their efforts to justify their work, which we can now appraise with the advantage of hindsight, often border on the… 
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(c) H' is not Riemann integrable on any closed interval [a, b], for assume that it is. Then H' is continuous a.e. on [a, b]. But it is clear that H'(t) = 0 if H' is continuous at t ,and so H' = 0
De progressionibus harmonicis obse~ationes, Comm. acad. sci. Petrop
  • Opera Omnia
  • 1734
De summis seriemm reciprocamm
  • Comm. acad. sci. Petrop. Opera Omnia
  • 1734
acad. sci. Petrop. Opera Omnia An English translation by E. J. Barbeau and P. J. Leah is in Historia Math
  • acad. sci. Petrop. Opera Omnia An English translation by E. J. Barbeau and P. J. Leah is in Historia Math
  • 1754