1713 book on probability and combinatorics by Jacob Bernoulli
Ars Conjectandi is a book on combinatorics and mathematical probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.
derived the first version of the law of large numbers in his work ArsConjectandi. Jacob Bernoulli was born in Basel in the Old Swiss Confederacy. Following
Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his ArsConjectandi (1713). The mathematical formalization and advanced formulation of
his work on probability ArsConjectandi, originally published in Latin in 1713, Jakob Bernoulli used the phrase "ArsConjectandi sive Stochastice", which
derived the first version of the law of large numbers in his work ArsConjectandi. [P]robability as a measurable degree of certainty; necessity and chance;
