Jacob Bernoulli’s Legacy in Mathematica

Oleksandr Pavlyk:

Jacob Bernoulli was the first mathematician in the Bernoulli family, which produced many notable mathematicians of the seventeenth and eighteenth centuries.
Jacob Bernoulli’s mathematical legacy is rich.

He introduced Bernoulli numbers, solved the Bernoulli differential equation, studied the Bernoulli trials process, proved the Bernoulli inequality, discovered the number e, and demonstrated the weak law of large numbers (Bernoulli’s theorem).

Bernoulli’s treatise Ars Conjectandi (i.e. The Art of Conjecturing) was posthumously published in 1713, eight years after his demise, and was written in Latin, science’s lingua franca of the time. It is considered a seminal work of mathematical probability. Its importance is witnessed, in part, by its translations to French by G. Le Roy in 1801, and, recently, to English by E. D. Sylla in 2005.