New discoveries in the history of Euler’s equation

Much has been written about the history of Euler?s formula and Euler?s equation, but there are many blank spots left in it. The equality ln(cosx + isinx) = xi was first obtained in verbal form forty-two years before it appeared in Euler?s work. Was this verbal formula correct? Euler?s equation or Euler?s i den tityi? e=-1w asneve rwrit te ndown byEuler himself.R e writ tenin t h e ? or mi? e+1=0,itc onnect s the five most important numbers in mathematics, but this formula is not in Euler?s works. Today this identity attracts wide attention from physicists, philosophers and popularizers of science; it is given an almost mystical meaning. Who received it for the first time? We will look at all these mathematical events in order.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2506927s
Primary Topic
History and Theory of Mathematics
Type
article
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article

New discoveries in the history of Euler’s equation

Galina Sinkevich
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Filomat
History and Theory of Mathematics
article

New discoveries in the history of Euler’s equation

Galina Sinkevich
article en

Abstract

Much has been written about the history of Euler?s formula and Euler?s equation, but there are many blank spots left in it. The equality ln(cosx + isinx) = xi was first obtained in verbal form forty-two years before it appeared in Euler?s work. Was this verbal formula correct? Euler?s equation or Euler?s i den tityi? e=-1w asneve rwrit te ndown byEuler himself.R e writ tenin t h e ? or mi? e+1=0,itc onnect s the five most important numbers in mathematics, but this formula is not in Euler?s works. Today this identity attracts wide attention from physicists, philosophers and popularizers of science; it is given an almost mystical meaning. Who received it for the first time? We will look at all these mathematical events in order.

FilomatVol. 39(6)
Saint Petersburg State University of Architecture and Civil Engineering (RU)
Openalex Percentile: Top 87%
History and Theory of Mathematics
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