English Title

The use of discontinuous functions in analysis

Authors

Leonhard Euler

Enestrom Number

322

Fuss Index

169

Original Language

Latin

Published as

Journal article

Published Date

1767

Written Date

1762

Archive Notes

According to Jacobi, a treatise with this title was read to the Berlin Academy on December 9, 1762. According to St. Petersburg Academy records, it was presented to that Academy on May 23, 1763.

Content Summary

After various investigations into the basic concepts of infinitessimal calculation, Euler concludes that discontinuous functions can't be used if there is only one independent variable, but are unavoidable when dealing with functions of at least two independent variables.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 11, pp. 2018-03-27.

Opera Omnia Citation

Series 1, Volume 23, pp.74-91.

Record Created

2018-09-25

Included in

Mathematics Commons

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