Jacob Bernoulli was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi. Wikipedia
“Changed and yet the same, I rise again.”
Original: (sp) Eadem mutata resurgo
Gravestone marker (1705) referring to the , which remains the same after mathematical transformations. He considered it a symbol of resurrection. Bernoulli wanted the logarithmic Spira mirabilis, "the marvelous spiral," engraved on his headstone, but an Archimedean spiral was placed there instead.
Jacob Bernoulli book Ars Conjectandi
Ars Conjectandi (1713)
Jacob Bernoulli book Ars Conjectandi
Ars Conjectandi (1713) Chapter II, Part IV, defining the art of conjecture.
