Jacob Bernoulli was the brother of Johann Bernoulli and the uncle of Daniel Bernoulli.
Jacob Bernoulli was appointed professor of mathematics in Basel in 1687 and the two brothers began to study the calculus as presented by Leibniz in his 1684 paper on the differential calculus in Nova Methodus pro Maximis et Minimis, itemque Tangentibus...
Johann Bernoulli's boasts were the first cause of Jacob's attacks on him and Jacob wrote that Johann was his pupil whose only achievements were to repeat what his teacher had taught him.
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Jacob (Jacques) Bernoulli Born: 27 Dec 1654 in Basel, Switzerland Died: 16 Aug 1705 in Basel...
Born as the son of Johann Bernoulli, and nephew of Jakob Bernoulli, Daniel Bernoulli was by far the ablest of the younger Bernoullis.
Bernoulli was the son and nephew of the respected mathematicians Johann Bernoulli and Jakob Bernoulli.
jakob_bernoulli.iqexpand.com (283 words)
Jakob Bernoulli biography .ms(Site not responding. Last check: 2007-10-10)
Jakob Bernoulli (Basel, December 27, 1654 - August 16, 1705), also known as Jacob, Jacques or James Bernoulli was a Swiss mathematician and scientist and the older brother of Johann Bernoulli.
Jakob Bernoulli met Robert Boyle and Robert Hooke on a trip to England in 1676, after which he devoted his life to science and mathematics.
The terms Bernoulli trial and Bernoulli Numbers result from this work, and are named after him.
jakob-bernoulli.biography.ms (170 words)
BERNOULLI, Jacques, Ars conjectandi ... Accedit tractatus de seriebus infinitis, et epistola Gallice scripta de ludo ...(Site not responding. Last check: 2007-10-10)
Bernoulli had worried over problems of the a posteriori determination of chances for twenty years before he died, and it was the fruits of these labors that were the focus of the major treatise his nephew finally produced in 1713, the Ars Conjectandi.
'Bernoulli's book has variously been regarded as the beginning of the mathematical theory of probability and as the end of the emergence of the concept of probability...
The book is remarkable in many aspects, from its advances in combinatorics (including the "Bernoulli numbers") to its pathbreaking analysis of the interpretation of evidence...
References for Bernoulli_Jacob(Site not responding. Last check: 2007-10-10)
G Fenaroli, The regularity of case in the 'Pars Quarta' of the 'Ars coniectandi' of Jacob Bernoulli, Physis - Riv.
E Sylla, Political, moral, and economic decisions and the origins of the mathematical theory of probability : the case of Jacob Bernoulli's 'The art of conjecturing', in Acting under uncertainty : multidisciplinary conceptions (Boston, MA, 1990), 19-44.
A P Yushkevich, Nikolas Bernoulli and the publication of 'Ars conjectandi' by Jacob Bernoulli (Russian), Teor.
Bernoulli's work on fluids pioneered the sciences of hydrodynamics and aerodynamics.
Born in the Netherlands and spending most of his life in Switzerland, Bernoulli was one of a large family of brilliant scientists and mathematicians that included his father, Jean Bernoulli, and uncle, JacquesBernoulli.
Ignoring his family's pleas to enter the world of business, Bernoulli pursued a degree in medicine and then, after graduation, a career as a professor of mathematics.
ENCYCLOPÉDIE OU DICTIONNAIRE RAISONNÉ DES SCIENCES, DES ARTS ET DES MÉTIERS(Site not responding. Last check: 2007-10-10)
When M. Nicolas Bernoulli, nephew of the celebrated Jacques and Jean Bernoulli, defended in Basel, in 1709 his thesis for Doctor of Laws; as he was a great geometer, as well as jurisconsult, he did not forbid himself to choose a matter which admits of the geometry.
He took therefore for subject of his thesis de usu artis conjectandi in Jure, that is to say, On the application of the calculus of probabilities to the matters of Jurisprudence, and the third chapter of this thesis treats of times where an absentee must be reputed for dead.
I have chosen here the table of M. Deparcieux, and I have preferred it to the one which M. Bernoulli seems to have used, satisfying myself to apply here his reasoning: but I believe our calculation too strong on this occasion in a certain consideration, and too feeble to another; because 1.
Welcome to Bernoulli Filters - USA Bernoulli System AB is a Swedish company which manufactures a patented, self-cleaning filter for continuous filtration of liquids in a pressurized system.
To distinguish them, the Bernoulli numbers as defined in modern usage (National Bureau of Standards convention) are written B_n, while the Bernoulli numbers...
Bernoulli's principle is of critical use in aerodynamics.
www.kbcafe.com /search.aspx/bernoulli (501 words)
Topic of Bernoulli's Number(Site not responding. Last check: 2007-10-10)
The Bernoulli Numbers were introduced by JacquesBernoulli.
Bernoulli's Number one is equal to negative one-half.
The most relevant use of Bernoulli Numbers are found in Fermat's Last Theorem as expressed in the von-Staudt-Clausen Theorem.
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Daniel Bernoulli's work on fluids pioneered the sciences of hydrodynamics and aerodynamics.
Born in the Netherlands and spending most of his life in Switzerland, Bernoulli was one of a large family of scientists and mathematicians that included his father, Jean Bernoulli, and uncle, JacquesBernoulli.
The inspiration of the latter, says Mossotti in the introduction to his paper, comes from a memoire by Jean and JacquesBernoulli, Usage et Théorie d'une Machine qu'on peut nommer Instrument Ballistique.
The goal of Mossotti's paper is to supply to some theoretical imperfections in the Bernoulli's memoire.
His contributions to the problem must have been significant and very original, as some Italian scientists wrote to Carlini after reading Mossotti's paper asking for explanations
BERNOULLI, Jacob., Opera.(Site not responding. Last check: 2007-10-10)
First edition -- and very scarce on the market -- of the collected works of Jacques (Jacob) Bernoulli (1654-1705), who greatly advanced algebra, the infinitesimal calculus, the calculus of variations, mechanics, the theory of series, and the theory of probability.
Included are numerous letters from Bernoulli to other scientists and Batterius' biography of Bernoulli.A very fine and handsome set.
This item is listed on Bibliopoly by Jonathan A. Hill, Bookseller Inc. ; click here for further details.
