Geodesic
Natural logarithm
Matematičeskoe obrazovanie, no. 3 (2024), pp. 17-25 
E. V. Shchepin. Natural logarithm. Matematičeskoe obrazovanie, no. 3 (2024), pp. 17-25. http://geodesic.mathdoc.fr/item/MO_2024_3_a2/
@article{MO_2024_3_a2,
     author = {E. V. Shchepin},
     title = {Natural logarithm},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {17--25},
     year = {2024},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2024_3_a2/}
}
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AU  - E. V. Shchepin
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JO  - Matematičeskoe obrazovanie
PY  - 2024
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IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MO_2024_3_a2/
LA  - ru
ID  - MO_2024_3_a2
ER  - 
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%J Matematičeskoe obrazovanie
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Voir la notice de l'article provenant de la source Math-Net.Ru

The article presents a methodologically interesting and geometrically clear presentation of the concept of a natural logarithm as the area of a hyperbolic trapezoid with a variable vertical boundary. In this case, the author does not need to apply the full theory of integration; it is enough to determine the area of the hyperbolic trapezoid and find out a number of its properties.