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. 2020 Nov 9;6(11):e05418. doi: 10.1016/j.heliyon.2020.e05418

Table 1.

Main historical events of transcendental functions.

Year/Period Historical Event Author
B.C. Trigonometry in ancient civilizations Anonymous
Mesopotamia, Egypt, China, India
190-120 Constructed the first trigonometric table Hipparchus of Nicaea
1464 Presents a triangle resolution procedure by Law of sines J.M. Regiomontanus
1551 Six trigonometric functions are published for the first time Georg Joachim R.
1540-1603 Introduces modern algebra notation F. Vieta
1552-1632 His work contributed to Prosthaphaeresis calculus Jost Bürgi
1614 Introduced the first logarithm tables J. Naphier
1617 The first table of base-10 logarithm was compiled H. Briggs
1620 Presented the first base-10 logarithmic tables for trigonometric functions Edmund Gunter
1748 Defined the concept of function L. Euler
1761 Introduced hyperbolic functions J.H. Lambert
1765-1767 Developed properties of hyperbolic functions V. Ricatti
1758 Solves Diophantine equation x = q + xn (the direct antecedent of W(x)) J.H. Lambert
1925 The formal proposal for inverse of W(x)exp(W(x)) is presented Pólya Y Szegö
1990s Algorithms to evaluate W(x) are implemented Corless & Developers