what were its contents?
Among other things, it contains his theory of permutations and combinations; the standard foundations of combinatorics today and subsets of the foundational problems now known as the twelvefold way.
Ars Conjectandi
Bernoulli's work, originally published in Latin is divided into four parts. It covers most notably his theory of permutations and combinations; the standard foundations of combinatorics today and subsets of the foundational problems today known as the twelvefold way. It also discusses the motivation and applications of a sequence of numbers more closely related to number theory than probability; these Bernoulli numbers bear his name today, and are one of his more notable achievements.
where is e used in the real world Apart from its presence in the alphabetic order, it is a mathematical constant approximately equal to 2.71828 how is it associated with trials of bernoulli? With regard to its application in probability theory, it is an example of a Bernoulli trial process. what is this constant otherwise known as? Euler's number what are its optimal planning problems? UNANSWERABLE what more can you tell me about the trial mentioned above? It is a theory of probability and statistics based on the binomial theory where a random experiment can only have two outcomes-success or failure, and the probability of success is the same every time the experiment is carried out. is it named after anyone? Yes, after a 17th century Swiss mathematician named Jacob Bernoulli. what are some of his important works? He wrote a number of papers and a book titled "Ars Conjectandi". what is the book about? It deals with combinatorics and mathematical probability and is considered to be the founding work on the law of large numbers. when was it published? 1713
wiki:2873387
Ars Conjectandi [SEP] Contents
Bernoulli's work, originally published in Latin is divided into four parts. It covers most notably his theory of permutations and combinations; the standard foundations of combinatorics today and subsets of the foundational problems today known as the twelvefold way. It also discusses the motivation and applications of a sequence of numbers more closely related to number theory than probability; these Bernoulli numbers bear his name today, and are one of his more notable achievements. The first part is an in-depth expository on Huygens' "De ratiociniis in aleae ludo". Bernoulli provides in this section solutions to the five problems Huygens posed at the end of his work.