Leonhard Euler: The First St. Petersburg Years (1727–1741)

@article{Calinger1996LeonhardET,
  title={Leonhard Euler: The First St. Petersburg Years (1727–1741)},
  author={Ronald Calinger},
  journal={Historia Mathematica},
  year={1996},
  volume={23},
  pages={121-166}
}
  • R. Calinger
  • Published 1 May 1996
  • Philosophy
  • Historia Mathematica
Abstract After reconstructing his tutorial with Johann Bernoulli, this article principally investigates the personality and work of Leonhard Euler during his first St. Petersburg years. It explores the groundwork for his fecund research program in number theory, mechanics, and infinitary analysis as well as his contributions to music theory, cartography, and naval science. This article disputes Condorcet's thesis that Euler virtually ignored practice for theory. It next probes his thorough… 
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Abstract. Ever since Euler solved the so-called Basler problemof (2) =P 1n=1 1=n 2 , numerous evaluations of (2n) (n2N) aswell as (2) have been presented. Very recently, Ritelli [61] used adouble
Goldbach, Hurwitz, and the Infinitude of Primes: Weaving a Proof across the Centuries*
defined by a0 = b0 = 1, and ai+1 = ai + bi and bi+1 = ai bi for i C 0. It is then easy to show inductively that aiþ1 1⁄4 ai þ b0a0a1 ai 1; and hence (almost as easily) that any two distinct ai’s are
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Prof. FORSYTH'S latest work appears opportunely at a time when there is quite a notable revival of interest in the calculus of variations. To those who desire an account of the subject which, while
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