De seriebus divergentibus

By Leonhard Euler, Artur Diener, Alexander Aycock. 2012

52 citations recorded by the source corpus.

Euler gives a long introduction, giving all the arguments for and against the use of divergent series in calculus and then gives his own definition of the sum of a diverging series. Then in the second half of this paper he evaluates the the 1-1+2-6+24-120+720-... on several ways and gets the sum 0.5963473621372. The paper is translated from Euler's Latin original into German.

Subfields: Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/7414d722a10f5cd630c758ea1061d8f1a4b52400