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{{Infobox_Scientist| name = Jacob Bernoulli| image = Jakob_Bernoulli.jpg|300px| image_width = 300px| caption = Jacob Bernoulli| birth_date = | birth_place = Basel, Switzerland, [Switzerland| nationality = [Switzerland| field = Mathematician| alma_mater = [University of Basel| doctoral_students = [Johann Bernoulli
Jacob Hermann (mathematician)
Nicolaus I Bernoulli
[Bernoulli numbers| footnotes= Brother of [Johann Bernoulli.--> For other family members named Jacob, see Bernoulli family. Jacob Bernoulli (also known as James or Jacques) (Basel, December 27, 1654 – August 16, 1705) was one of the eight prominent mathematicians in the Bernoulli family.

Following his father's wish, Jacob studied theology and entered the ministry. But contrary to the desires of his parents, he also studied mathematics and astronomy. He traveled throughout Europe from 1676 to 1682, learning about the latest discoveries in mathematics and the sciences. This included the work of Robert Boyle and Robert Hooke.

He became familiar with calculus through a correspondence with Gottfried Leibniz, then collaborated with his brother Johann Bernoulli on various applications, notably publishing papers on transcendental curves (1696) and isoperimetry (1700, 1701). In 1690, Jacob became the first person to develop the technique for solving separable differential equations.

Upon returning to Basel in 1682, he founded a school for mathematics and the sciences. He was appointed professor of mathematics at the University of Basel in 1687, remaining in this position for the rest of his life.

Jacob is best known for the work Ars Conjectandi (The Art of Conjecture), published eight years after his death in 1713 by his nephew Nicholas. In this work, he described the known results in probability theory and in enumeration, often providing alternative proofs of known results. This work also includes the application of probability theory to games of chance and his introduction of the theorem known as the law of large numbers. The terms Bernoulli trial and Bernoulli numbers result from this work. The Bernoulli (crater), on the Moon, is also named after him jointly with his brother Johann.



Bernoulli chose a figure of a logarithmic spiral and the motto Eadem mutata resurgo ("Changed and yet the same, I rise again") for his gravestone; the spiral executed by the stonemasons was, however, an Archimedean spiral.

External links

• Jakob Bernoulli: Tractatus de Seriebus Infinitis (pdf)

{{Persondata]|DATE OF BIRTH= December 27, 1654, [Switzerland, [1705, [Switzerland-->

{{Infobox_Scientist| name = Jacob Bernoulli| image = Jakob_Bernoulli.jpg|300px| image_width = 300px| caption = Jacob Bernoulli| birth_date = | birth_place = Basel, Switzerland, [Switzerland| nationality = [Switzerland| field = Mathematician| alma_mater = [University of Basel| doctoral_students = [Johann Bernoulli
Jacob Hermann (mathematician)
Nicolaus I Bernoulli
[Bernoulli numbers| footnotes= Brother of [Johann Bernoulli.--> For other family members named Jacob, see Bernoulli family. Jacob Bernoulli (also known as James or Jacques) (Basel, December 27, 1654 – August 16, 1705) was one of the eight prominent mathematicians in the Bernoulli family.

Following his father's wish, Jacob studied theology and entered the ministry. But contrary to the desires of his parents, he also studied mathematics and astronomy. He traveled throughout Europe from 1676 to 1682, learning about the latest discoveries in mathematics and the sciences. This included the work of Robert Boyle and Robert Hooke.

He became familiar with calculus through a correspondence with Gottfried Leibniz, then collaborated with his brother Johann Bernoulli on various applications, notably publishing papers on transcendental curves (1696) and isoperimetry (1700, 1701). In 1690, Jacob became the first person to develop the technique for solving separable differential equations.

Upon returning to Basel in 1682, he founded a school for mathematics and the sciences. He was appointed professor of mathematics at the University of Basel in 1687, remaining in this position for the rest of his life.

Jacob is best known for the work Ars Conjectandi (The Art of Conjecture), published eight years after his death in 1713 by his nephew Nicholas. In this work, he described the known results in probability theory and in enumeration, often providing alternative proofs of known results. This work also includes the application of probability theory to games of chance and his introduction of the theorem known as the law of large numbers. The terms Bernoulli trial and Bernoulli numbers result from this work. The Bernoulli (crater), on the Moon, is also named after him jointly with his brother Johann.



Bernoulli chose a figure of a logarithmic spiral and the motto Eadem mutata resurgo ("Changed and yet the same, I rise again") for his gravestone; the spiral executed by the stonemasons was, however, an Archimedean spiral.

External links

• Jakob Bernoulli: Tractatus de Seriebus Infinitis (pdf)

{{Persondata]|DATE OF BIRTH= December 27, 1654, [Switzerland, [1705, [Switzerland-->

Bernoulli_Jacob summary
Jacob Bernoulli (1654-1705) ... Jacob Bernoulli was a Swiss mathematician who was the first to use the term integral.

Bernoulli_Jacob biography
Biography of Jacob Bernoulli (BB^Y-1705) ... Born: 27 Dec 1654 in Basel, Switzerland Died: 16 Aug 1705 in Basel, Switzerland

Jacob Bernoulli - Wikipedia, the free encyclopedia
Jacob Bernoulli (also known as James or Jacques) (Basel, December 27, 1654 – August 16, 1705) was one of the eight prominent mathematicians in the Bernoulli family.

The Mathematics Genealogy Project - Jacob Bernoulli
According to our current on-line database, Jacob Bernoulli has 3 students and 51192 descendants. We welcome any additional information. If you have additional information or ...

Bernoulli_Johann summary
Johann Bernoulli (1667-1748) ... Johann Bernoulli was a Swiss mathematician who studied reflection and refraction of light, orthogonal trajectories of families of curves ...

Bernoulli_Jacob Portraits
Portraits of Jacob Bernoulli

Bernoulli_Jacob (print-only)
Born: 27 Dec 1654 in Basel, Switzerland Died: 16 Aug 1705 in Basel, Switzerland

History of Science Journals, Academic Books & Online Media ...
History of Science Journals, Academic Books & Online Media | Birkhäuser ... Jacob studied theology at Basel and at the same time taught himself mathematics.

Tales of Statisticians | Jacob Bernoulli
Tales of Statisticians Jacob Bernoulli 6 Jan 1655 - 16 Aug 1705. Jacob (or James, or Jacques), the son of a prosperous Protestant merchant, was the first of the remarkable ...

Quotations by Bernoulli_Jacob
Quotations by Jacob Bernoulli ... I recognize the lion by his paw. [After reading an anonymous solution to a problem that he realized was Newton's solution.]