English Title

Universal methods of series

Authors

Leonhard Euler

Catalog Number

ENE046

Enestrom Number

46

Fuss Index

176

Original Language

Latin

English Summaries

This paper begins with an expression of the trapezoid rule for "formal mechanical quadrature." Euler also sums the first ten terms of ζ(2) to get 1.549768 and gives an expression for the error term. Then he determines the sum of the first million terms of the harmonic series to be 14.392669.

Published as

Journal article

Published Date

1741

Written Date

1735

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 3-9.

Opera Omnia Citation

Series 1, Volume 14, pp.101-107.

Record Created

2018-09-25

Included in

Mathematics Commons

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