21. The Mathematics Genealogy Project - Jacob Bernoulli According to our current online database, jacob bernoulli has 1 students and32073 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=54440

22. The Mathematics Genealogy Project - Update Data For Jacob Bernoulli If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=54440

23. Bernoulli, Jacob Translate this page bernoulli, jacob. geboren 27.12.1654 Basel, gestorben 16.8.1705 Basel, ref., vonBasel. Sohn des Nicolaus, Kaufmanns, Grossrats und Gerichtsherrn, http://www.dhs.ch/externe/protect/textes/d/D23988.html

Bernoulli, Hans Bernoulli, Jacob No 7 Bernoulli, Jacob 27.12.1654 Basel, -> No 9 ) und bis 1790 dessen gleichnamiger Sohn ( -> No 10 ). Ab 1689 erschienen in Basel fünf Dissertationen über unendl. Reihen, die B. v.a. zur Quadratur und Rektifikation von Kurven benutzte, wobei er die sog. Bernoulli'sche Ungleichung verwendete und erstmals die vollständige Induktion systematisch zu einem allg. Beweisverfahren ausbaute. Die selbstständige Meisterung der von Gottfried Wilhelm Leibniz erfundenen Infinitesimalrechnung ab 1684 war eine Pionierleistung B.s und seines Bruders Johann, die zu zahlreichen neuen Entdeckungen führte (1691 Theorema aureum -> No 13 ) und v.a. der Basler Jacob Hermann. Zu seinen Briefpartnern gehörten sein Bruder Johann, v.a. aber Leibniz und Nicolas Fatio de Duillier. Werke Ars conjectandi, 1713 Opera omnia, 1744 Die Werke von Jacob B., 6 Bde., 1969-, (bisher Bde. 1-4 erschienen) Die Streitschriften von Jacob und Johann B., 1991 Der Briefwechsel von Jacob B., 1993 Literatur -Poggendorff, Hwb. 7a, 75-77

24. Bernoulli, Jacob http://www.dhs.ch/externe/protect/textes/d/D25845.html

Bernoulli, Jacob Bernoulli, Johann No 8 Bernoulli, Jacob 28.10.1759 Basel, 14.7.1789 St. Petersburg, ref., von Basel. Sohn des Johann ( -> No 10 -> No 3 ), den er 1780-82 bei Vorlesungen zur Experimentalphysik vertrat. 1780 Schweizerreise. Ab 1783 Gesandtschaftssekr. beim österr. Gf. Breuner in Turin, Paris und Venedig. 1784 Korrespondent der Akad. der Wiss. in Turin. 1786 Adjunkt der Akad. der Wiss. in St. Petersburg, 1787 ordentl. Mitglied der Akad., Prof. für Mathematik und Lehrer am kaiserl. Kadettenkorps. Innerhalb seiner Abhandlungen zur Mechanik, Hydraulik und Elastizität sind die Arbeiten zur Theorie der schwingenden Platten von besonderer Bedeutung. Literatur -Poggendorff, Hwb. 7a, 77 DSB 2, 51 -R. Mumenthaler, Im Paradies der Gelehrten, 1996 Fritz Nagel Alle Urheberrechte dieser elektronischen Publikation sind beim Historischen Lexikon der Schweiz, Bern. Für alle elektronisch publizierten Texte gelten dieselben Regeln wie für eine gedruckte Veröffentlichung. Bernoulli, Jacob Bernoulli, Johann

25. Los Grandes Matemáticos. ET Bell Translate this page Los bernoulli fueron una de las muchas familias protestantes que huyeron de jacob I fue uno de los primeros en desarrollar el Cálculo más allá del http://www.geocities.com/grandesmatematicos/cap08.html

26. Jakob Bernoulli - Wikipedia, The Free Encyclopedia (Redirected from jacob bernoulli). Jakob bernoulli. Enlarge. Jakob bernoulli.Jakob bernoulli (Basel, December 27, 1654 August 16, 1705), also known as http://en.wikipedia.org/wiki/Jacob_Bernoulli

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$130,000 has been donated since the drive began on 19 August. Thank you for your generosity! Jakob Bernoulli From Wikipedia, the free encyclopedia. (Redirected from Jacob Bernoulli Jakob Bernoulli. Jakob Bernoulli Basel December 27 August 16 ), 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 , after which he devoted his life to science and mathematics. He lectured at the University of Basel from , becoming Professor of Mathematics in He corresponded with Gottfried Leibniz , and thus learnt calculus , and collaborated with his brother Johann. His early papers on transcendental curves ) and isoperimetry ) are early examples of its application. His masterwork was Ars Conjectandi (the Art of Conjecturing), a groundbreaking work on probability theory . It was published eight years after his death in by his nephew Nicholas. The terms

27. Jakob Bernoulli - Wikipedia, The Free Encyclopedia pp.; 1 pl, 5431141 pp. Two vols. Large 4to, fine cont. http://en.wikipedia.org/wiki/Jacob Bernoulli

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$130,000 has been donated since the drive began on 19 August. Thank you for your generosity! Jakob Bernoulli From Wikipedia, the free encyclopedia. (Redirected from Jacob Bernoulli Jakob Bernoulli. Jakob Bernoulli Basel December 27 August 16 ), 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 , after which he devoted his life to science and mathematics. He lectured at the University of Basel from , becoming Professor of Mathematics in He corresponded with Gottfried Leibniz , and thus learnt calculus , and collaborated with his brother Johann. His early papers on transcendental curves ) and isoperimetry ) are early examples of its application. His masterwork was Ars Conjectandi (the Art of Conjecturing), a groundbreaking work on probability theory . It was published eight years after his death in by his nephew Nicholas. The terms

28. Bernoulli, Jakob --  Encyclopædia Britannica Jakob bernoullijacob bernoulli was the brother of Johann bernoulli and the uncle of Daniel During the time that jacob bernoulli was taking his university degrees he http://www.britannica.com/eb/article?eu=80996

29. Johann Bernoulli He was the brother of jacob bernoulli but Johann was twelve years younger Five solutions were obtained, jacob bernoulli and Leibniz both solving the http://www.mathematik.ch/mathematiker/johann_bernoulli.php

Home Geschichte Mathematiker Zitate ... Von Fermat bis Minkowski Winfried Scharlau Bernoulli Johann 1667, Basel - 1748, Basel Johann Bernoulli was the tenth child of Nicolaus and Margaretha Bernoulli. He was the brother of Jacob Bernoulli but Johann was twelve years younger than his brother Jacob which meant that Jacob was already a young man while Johann was still a child. The two brothers were to have an important influence on each others mathematical development and it was particularly true that in his early years Johann must have been greatly influenced by seeing Jacob head towards a mathematical career despite the objections of his parents. As to his education as a child, Johann wrote in his autobiography that his parents:- ... spared no trouble or expense to give me a proper education in both morals and religion. This religion was the Calvinist faith which had forced his grandparents to flee from Antwerp to avoid religious persecution. Nicolaus and Margaretha Bernoulli tried to set Johann on the road to a business career but, despite his father's strong pushing, Johann seemed to be totally unsuited to a future in business. Johann's father had intended him to take over the family spice business and in 1682, when he was 15 years old, Johann worked in the spice trade for a year but, not liking the work, he did not do well. It was with great reluctance that Johann's father agreed in 1683 to Johann entering the University of Basel. The subject that Johann Bernoulli was to study at university was medicine, a topic that many members of the Bernoulli family ended up studying despite their liking for mathematics and mathematical physics.

30. Jacob Bernoulli http://www.greece.k12.ny.us/taylor/ppt/math/Bernoulli_files/frame.htm

31. Jacob Bernoulli 28Oct-00 jacob bernoulli. http://www.greece.k12.ny.us/taylor/ppt/math/Bernoulli.htm

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32. 10.3. Bernoulli, Johan (1667-1748) Johann bernoulli was one of the pioneers in the field of calculus and helped apply After Johann solved a complicated problem before his brother, jacob http://www.shu.edu/projects/reals/history/bernoull.html

10.3. Bernoulli, Johan (1667-1748) IRA Johann Bernoulli was one of the pioneers in the field of calculus and helped apply the new tool to real problems. His life was one of the most controversial of any mathematician. He was a member of the world's most successful mathematical family, the Bernoullis. Johann (also known as Johannes, Jean or John, depending on the translation) Bernoulli was born in Basel, Switzerland, on August 6, 1667. His family had originally been from Antwerp, Belgium, but had fled to avoid persecution by Catholics. After first settling down in Frankfurt, Johann's grandfather moved to Basel in 1622. Johann was the tenth son of a successful merchant and local official. Originally, Johann's father had attempted to make a merchant out of his child but the son failed miserably as an apprentice. In 1683, he was given permission to enter the University of Basel, where his older brother Jacob, who was also a great mathematician, was already a professor. While pursuing a degree in medicine, Johann was tutored in mathematics by his older brother and soon developed a mastery of the new Leibnizian calculus. In 1694, he had committed himself to this new field and received his doctorate on a mathematical paper on muscular movement. Unable to get the seat of mathematics at University of Basel because his brother held it, Johann accepted a position at the University of Groningen. In 1705, he returned to Basel after his brother's death to take Jacob's old position at the university. During his life he was awarded many honors including membership at the Academies of Science at Paris, Berlin, St. Petersburg and many others. He died in Basel on January 1, 1748.

33. Matematicos Translate this page La distribución de bernoulli, la ecuación diferencial de bernoulli. Los númerosde bernoulli fueron nominados por jacob bernoulli. http://www.mat.usach.cl/histmat/html/ber3.html

Johann Bernoulli Daniel Bernoulli Boyle y Hooke en Inglaterra. Con su muerte su puesto en Basilea fue ocupado por su hermano Johann Bernoulli. Referencias:

34. Bernoulli biography of jacob bernoulli. jacob bernoulli s mother also came from animportant Basel family of bankers and local councillors. jacob bernoulli was http://www.thocp.net/biographies/bernoulli.html

Jacob Bernoulli 27 Dec 1654, Basel, Switzerland 16 Aug 1705, Basel, Switzerland principal papers hardware software keywords see also related subjects Achievement Swiss mathematician (also known as Jacque I or James I) who was the brother of Johann Bernoulli. With his brother, he is considered the most important founder of calculus with the exception of Newton. Nonetheless, the two had bitter arguments about the quality of each other's work. In his Ars conjectandi (1713), which was published posthumously, he developed the properties of Bernoulli numbers. It has still not been determined how Bernoulli was able to derive many of the properties of Bernoulli numbers he discovered. Biography Jacob Bernoulli's father, Nicolaus Bernoulli (1623-1708) inherited the spice business in Basel that had been set up by his own father, first in Amsterdam and then in Basel. The family, of Belgium origin, were refugees fleeing from persecution by the Spanish rulers of the Netherlands. Philip, the King of Spain, had sent the Duke of Alba to the Netherlands in 1567 with a large army to punish those opposed to Spanish rule, to enforce adherence to Roman Catholicism, and to re-establish Philip's authority. Alba set up the Council of Troubles which was a court that condemned over 12000 people but most, like the Bernoulli family who were of the Protestant faith, fled the country.

35. Bernoulli Translate this page Die Streitschriften von jacob und Johann bernoulli. Variationsrechnung. Abhandlungen von Johann bernoulli, jacob bernoulli, Leonhard Euler, Joseph Louis http://www.kk.s.bw.schule.de/mathge/bernoull.htm

Die Familie Bernoulli Nikolaus Ratsherr in Basel Jakob I Professor in Basel Nicolaus Maler Nikolaus I Johann I Nicolaus II Prof. in Bern, Mitglied der Petersburger Akademie Daniel I Professor in Basel, Mitglied der Petersburger Akademie Johann II Professor in Basel (1710 - 1790) Johann III , Berliner Akademie Daniel II Jakob II , Petersburger Akademie Jakob Bernoulli (1654 - 1705) Lebensdaten Literatur Stammbaum Lebensdaten am 27.12.1654 geboren in Basel. am 16.08.1705 gestorben in Basel Beendigung der theologischen Studien 1. Arbeiten zur Differentialrechung Ars conjectandi Arbeiten zur Infinitesimalrechung Variationsrechnung : Brachistochone: Zykloide. Isoperimetrische Aufgabe Wahrscheinlichkeitsrechung : Ars conjectandi (Vermutungskunst). Gedruckt 1713. Geschrieben ab 1680. I. Teil: Huygens: De ratiociniis in ludo aleae, mit Kommenatren von Jakob II. Teil: Kombinatorik (Permutationen, Kombinationen, Variationen). Darin: "Bernoullische Zahlen" Variationsrechnung Acta eruditorum (AE) und Journal des Scavans Variationsrechnung Die Streitschriften von Jacob und Johann Bernoulli Johann Bernoulli Lebensdaten Urheberrechte-Verkauf Stammbaum Literatur ... Seitenanfang Lebensdaten am 27.07.1667 geboren in Basel.

36. Biography Of Johann Bernoulli The bernoulli family was probably the most notable mathematical family in worldhistory. The three most significant were jacob, Daniel, and Johann. http://www.andrews.edu/~calkins/math/biograph/bioberno.htm

Back to the Table of Contents Johann Bernoulli (Aug. 6, 1667 - Jan. 1,1748) The Bernoulli family was probably the most notable mathematical family in world history. There were ten notable intellectuals over three generations. The three most significant were Jacob, Daniel, and Johann. Also of importance were Johann's brother Nicolaus I, Nicolaus I's son Nicolaus II, Johann's sons Nicolaus III and Johann II, and his grandsons Johann III, Jacob II, and Daniel II. However, Johann made the biggest name for himself, so we will focus on his life, and methods that resulted in his contributions to modern mathematics. Below is a list of his personal information. PERSONAL FACTS He was born in Basel, Switzerland on August 6, 1667. He died in Basel, Switzerland on January 1, 1748. He enrolled in Basel in 1683; began to study medicine in 1685. He was schooled at Basel University and earned a M.A. and M.D. He received the medicine license in 1690. In 1694, he received a doctoral dissertation in Iatromathematics. He was called the "Grandseigneur of the science of mathematics" On a darker note he had a rocky relationship with Jacob and Daniel; he frequently took part in belittling chatter with the former, and once deliberately plagiarized one of the latter's papers.

37. Differentialgeometrie (Bernoulli)-Birkhäuser Mathematics (general) Book bernoulli, jacob Weil, Andre; Mattmüller, Martin (Eds.) 1999, Hardcover ISBN37643-5779-7 A Birkhäuser book This item usually ships in 3-4 weeks. http://www.springeronline.com/sgw/cda/frontpage/0,11855,4-40295-22-33980064-0,00

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38. Elementarmathematik (Bernoulli)-Birkhäuser Mathematics (general) Book Translate this page Bandwerk Die gesammelten Werke der Mathematiker und Physiker der Familie BernoulliBernoulli, jacob 2005, Geb. ISBN 3-7643-1891-0 Ein Birkhäuser Buch http://www.springeronline.com/sgw/cda/frontpage/0,11855,4-40295-22-33979858-0,00

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39. Johann Bernoulli He was the brother of jacob bernoulli but Johann was twelve years younger thanhis brother jacob which meant that jacob was already a young man while Johann http://www.kurdmedia.com/eim/hamid/scientist/jbernoulli.htm

40. The Bernoulli Family The eldest son, jacob (James or Jacques), was born 1654 and died 1705 in Bale,Switzerland. jacob bernoulli. Online. Available http//www. http://www.math.wichita.edu/history/men/bernoulli.html

Family Squabbles: The Bernoulli Family Jacob Bernouli (1654 - 1705) Johann Bernouli (1667 - 1748) Daniel Bernoulli (1700 - 1787) The Bernoulli family may sound like a Mafia family from a television show, but they were the most predominant math family of Europe. Their fame was in the late 17th and early 18th century in Bale, Switzerland. The uniqueness of this particular family is a stubborn streak which brought devastation to the family life. The Bernoulli family was originally from Holland with strong Calvinism religion. They needed to avoid Spanish religious persecution, so they fled to Switzerland. Nicholas Bernoulli brought the family to Switzerland. This family was not math oriented, they had a spice business in Bale. He had three sons which two of them became the most influential math experts in the academic community yet hostile to each other. The eldest son, Jacob (James or Jacques), was born 1654 and died 1705 in Bale, Switzerland. His parents compelled him to study philosophy and theology. Like a Bernoulli, he resented the studies but he did acquire a masters in philosophy. He was intrigued with mathematics and astronomy so much he included them with his studies, regardless his parents wishes. He made more of a career in mathematics than philosophy. He became the first Bernoulli to be recognized as a strong influential mathematician. He contributed highly to probability: if something is going to happen again and again is large amounts, it is likely it will happen most of the time. He may be a brilliant mathematician, but he did have a mean streak.

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