Husband of
**Iuditha (Stupanus) Bernoulli**
— married
in Basel, Switzerland

Father of
Verena Bernoulli and Nicolaus Bernoulli

Bernoulli-2 created 19 Aug 2014 | Last modified | Last edit: 1 Oct 2017

09:23: Mark Geesey edited the Biography for Jacob Bernoulli. (Added canton to category) [Thank Mark for this]

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"It seems that to make a correct conjecture about any event whatever, it is necessary to calculate exactly the number of possible cases and then to determine how much more likely it is that one case will occur than another." Jacob Bernoulli
"Ars Conjectandi"^{[1]}

Jacob Bernoulli, was the first in a line of famous mathematicians. The inscription on his elaborately carved grave marker, at the Basel Cathedral sums up his life.

Jacob Bernoulli, was the oldest son of merchant, druggist, Nicholaus Bernoulli of Basel, Switzerland, and his wife Margaretha Schönauer. Margaretha was the daughter of a banker. ^{[3]} Perhaps it was her family that generated the spark of mathematical genius that created two brilliant sons and several generations of mathematicians.

Jacob's parents set him to study philosophy and theology, but he also studied mathematics and astronomy. He received his theology degree in 1676, and moved to Geneva to work as a tutor. He spent several years in France, the Netherlands, other parts of Europe and England, studying with the leading mathematicians, astronomers and scientists of the day.^{[4]}

In 1683, Jacob returned to Switzerland, where he taught mechanics at the University in Basel. He was offered a position in the Church, but turned it down, so he could continue with his true avocation. As he taught he continued his studies and research in mathematics and theoretical physics. He published his findings and theories in the journal Acta Eruditorum begun in Leipzig in 1682.^{[4]}

In 1684, Jacob Bernoulli married Judith Stupanus. They had two children, a son, Nicolaus, and a daughter, Verena.^{[5]}

Jacob was appointed Professor of Mathematics at the University in 1687. He and his younger brother Johann began studying calculus together. However, the two brothers, jealous of each other, became rivals.^{[4]}

Jacob continued to study, research, determine, and publish important mathematical principles. He was the first to use the term integral. He studied the catenary, the curve of a suspended string, was an early user of polar coordinates and discovered the isochrone.^{[6]}

Known for: Bernoulli differential equation, Bernoulli numbers, Bernoulli's formula, Bernoulli polynomials, Bernoulli map, Bernoulli trial, Bernoulli process, Bernoulli scheme, Bernoulli operator, Hidden Bernoulli model, Bernoulli sampling, Bernoulli distribution, Bernoulli random variable, Bernoulli's Golden Theorem, Bernoulli's inequality, Lemniscate of Bernoulli

After Jacob's death in 1705, his brother, Johann, took over his position as Professor of Mathematics at Basel University.^{[4]}

- ↑ MacTutor History of Mathematics. School of Mathematics and Statistics. University of St Andrews, Scotland.
- ↑ [http://en.wikipedia.org/wiki/Jacob_Bernoulli Translation of gravemarker at Wikipedia
- ↑ Bernoulli, Jacob. Translated and introduced by Edith Dudley Sylla. The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis. JHU Press, 2006. (pp 1-)
- ↑
^{4.0}^{4.1}^{4.2}^{4.3}J J O'Connor and E F Robertson. "Jacob (Jacques) Bernoulli" - ↑ Wikipedia Article on her grandfather Emanuel Stupanus In the references section: Stroux, Ulrich. "Genealogie der Familie Stroux - Speiser www.stroux.org/patriz_f/stQV_f/IhA_f.pdf "Auszug Stamm Im Hof / Imhof in Basel" Clicking on "Arrow" BnA produces a second pdf. document with the names of Jacob & Judith's children. The documents are unsourced.
- ↑ MacTutor Summary Jacob Bernoulli

- NOTE: The portrait of Jacob was done in 1687 by his brother Nicolaus, the artist. {Source:C.C. Heyde, E. Seneta.
*Statisticians of The Centuries.*Springer Science & Business Media, 2001.} - "The Bernoullis: When Math is the Family Business."
*SciShow*8 Sept 2016. Youtube (Web). 12 Sept 2016.

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