21. The Mathematics Genealogy Project - Jacob Bernoulli jacob bernoulli Biography. Johann bernoulli, 1694, 25498. According to our currentonline database, jacob bernoulli has 1 students and 25499 descendants. http://www.genealogy.ams.org/html/id.phtml?id=54440

22. Bernoulli Family 1807). Nicolaus(I) was a nephew of jacob bernoulli and Johann bernoulli.jacob(II) and Johann(III) are both sons of Johann(II). http://members.fortunecity.com/kokhuitan/bernoulli.html

The Mathematics of the Bernoulli Family (Swiss) The Bernoullis are a family of mathematicians. The most famous of them all are the brothers Jacob and Johann, whose father is Nicolaus (1623-1708). Among the wide range of Mathematics pertaining to the Bernoullis are Bernoulli Numbers, Bernoulli Differential Equation, Bernoulli's Principle of Fluid Dynamics, Bernoulli Trial, Bernoulli Inequality, etc. Jacob (1654-1705) is the first of the Bernoullis to make Mathematics a career, despite pressure to seek a career elsewhere. He contributed greatly to Calculus, Infinite Series and Probability. In particular, he published the Law of Large Numbers in 1689. This Law states that if an experiment of an event is carried out a large number of times, then the relative frequency of the event occurring equals the corresponding probability. He also solved what is now called Bernoulli Differential Equation: y' = p(x)y + q(x)y n Among his other works are: A general method to determine evolutes of a curve as the envelope of its circles of curvature.     Caustic curves of parabola, logarithmic spiral and epicycloids (1692-93)

23. Bernoulli, Jacob Translate this page No 7 bernoulli, jacob. 27.12.1654 Basel, 16.8.1705 Basel, ref., von Basel. Sohndes Nicolaus, Kaufmanns, Grossrats und Gerichtsherrn, und der Margarethe geb. http://www.dhs.ch/externe/protect/textes/d/D23988.html

Bernoulli, Hans Bernoulli, Jacob No 7 Bernoulli, Jacob 27.12.1654 Basel, 16.8.1705 Basel, ref., von Basel. Sohn des Nicolaus, Kaufmanns, Grossrats und Gerichtsherrn, und der Margarethe geb. Schönauer. Judith Stupan, von Basel. B. studierte in Basel Theologie (1671 Magister Artium, 1676 lic. theol.), wobei er sich gleichzeitig gegen den Willen des Vaters autodidaktisch in Mathematik ausbildete. Bei Hauslehrertätigkeiten in Genf und Frankreich (1676-80) und auf einer Bildungsreise 1681-82 nach Holland, England und Deutschland wurde B. mit der cartesian. Naturwissenschaften und mit der zeitgenöss. Mathematik bekannt. Nach Privatvorlesungen über Experimentalphysik in Basel (ab 1683) und nach Publikationen etwa zur Kompressibilität der Luft und zum Schwingungsmittelpunkt wurde B. 1687 auf den Basler Lehrstuhl für Mathematik berufen, den er bis zu seinem Tod innehatte; seine Nachfolger waren bis 1748 sein Bruder Johann ( -> 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. Bernoullische 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.

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 1789 Charlotte Euler, Tochter von Johann Albrecht und Enkelin von Leonhard Euler. Stud. der Jurisprudenz in Basel (1778 lic. iur.). Mathematikstud. in Basel beim Vater und bei seinem Onkel Daniel ( -> 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

25. Bernoulli Translate this page Euler que ganó 12. Murió de un paro respiratorio. jacob II bernoulli.Nació 1759 Murió 3 de julio de 1789. Por mediación de su http://www.terra.es/personal/jftjft/Historia/Biografias/Bernoulli.htm

Los Bernoulli Fecha de primera versión: 15-11-97 Fecha de última actualización: Los hijos de los genios, de cualquier ciencia o arte, no suelen ser genios. Está claro que el genio no se hereda. Los Bernoulli son la excepción: Tres generaciones de matemáticos tiene esta familia. La saga comienza con Jacob I y Johann I. En la segunda generación, tres hijos de Johann I, Daniel I Johann II y Nicolás II y un sobrino, Nicolas I. En la tercera generación, tres hijos de Nicolas II, Johann III, Daniel II y Jacob II. Todos fueron matemáticos destacables, especialmente Jacob I y Johann I. Los Bernoulli eran originarios de los Paises Bajos pero huyeron a Suiza por la persecución que los españoles (concretamente el Duque de Alba, en el reinado de Felipe II) hicieron a los que no eran católicos. Los padres de los Bernoulli eran personas influyentes. El padre tenía una tienda de especias y la madre era de una familia de banqueros. Jackob Bernoulli Nació el 6 de febrero de 1655 en Basilea (Suiza) Murió el 16 de agosto de 1705 en Basilea (Suiza) También conocido como Jacques (en francés), y James (en ingles). Nació en Basilea, Suiza.

26. Auteur - Bernoulli, Jacob Translate this page Auteur bernoulli, jacob, 3 documents trouvés. Ajouter au panier, Imprimer,Envoyer par mail, Liste détaillée. Ouvrage Die streitschriften http://bibli.cirm.univ-mrs.fr/Auteur.htm?numrec=061023857920560

27. Fiche Document -Der Briefwechsel Von Jacob Bernoulli http://bibli.cirm.univ-mrs.fr/Document.htm&numrec=031077680925940

28. Jakob Bernoulli - Wikipedia, The Free Encyclopedia Other languages Deutsch Français Italiano Nederlands Polski Slovenšcina. Jakob bernoulli. (Redirected from jacob bernoulli). http://en.wikipedia.org/wiki/Jacob_Bernoulli

Jakob Bernoulli Categories Mathematicians From Wikipedia, the free encyclopedia. (Redirected from Jacob Bernoulli Jakob Bernoulli 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 Born in Basel Switzerland in , 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 of , a groundbreaking work on probability theory . The terms Bernoulli trial and Bernoulli Numbers result from this work, and are named after him. Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages Other languages Deutsch Italiano Nederlands Polski This page was last modified 14:41, 30 May 2004.

29. Matematicos Translate this page jacob bernoulli era hermano de Johann bernoulli y tío de Daniel bernoulli. Losnúmeros de 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:

30. [BERNOULLI, Jacob I.]., La Pomme D'Eris, Ou Le Combat Des Déesses, En Vers Burl à l imitation du Combat des Muses des Parques, ou de la Gigantomachie http://www.polybiblio.com/erasmus/B14602.html

Erasmushaus Ltd. [BERNOULLI, Jacob I.]. Basel, Jacques Bertsche, 1681. 12mo. 23 S. Moderner grüner Pappband. Ausserordentlich seltenes, reizendes Gelegenheitsgedicht des bedeutenden Basler Mathematikers. Wolf erwähnt das Werkchen zwar in seiner ausgezeichneten Biographie Bernoullis; es scheint jedoch, dass er nie ein Exemplar der Schrift gesehen hatte. - Wolf, Biogr. z. Kulturgesch. d. Schweiz, Zürich, 1858, I, 142. This item is listed on Bibliopoly by Erasmushaus Ltd. ; click here for further details.

31. Jacob Bernouilli - Encyclopedia Article About Jacob Bernouilli. Free Access, No Erasmus, Paracelsus, Daniel bernoulli, jacob Burckhardt, Leonhard Euler and FriedrichNietzsche are among those associated with the university, which is http://encyclopedia.thefreedictionary.com/Jacob Bernouilli

Dictionaries: General Computing Medical Legal Encyclopedia Jacob Bernouilli Word: Word Starts with Ends with Definition Jakob Bernoulli December 27 December 27 is the 361st day of the year in the Gregorian Calendar. (362nd in a leap year). There are 4 days remaining. Events 1703 - Portugal and England sign the Methuen Treaty which gives preference to Portuguese imported wines into England. 1831 - Charles Darwin embarks on his historic journey aboard the HMS Beagle 1836 - The worst ever avalanche in England occurs at Lewes, Sussex, killing 8 people. Click the link for more information. Centuries: 16th century - 17th century - 18th century Decades: 1600s 1610s 1620s 1860s 1640s - Years: 1649 1650 1651 1652 1653 - Events April 5 - Signing of the Treaty of Westminster, ending the First Anglo-Dutch War. June 6 - Queen Christina of Sweden abdicates after selling large amounts of crown property to support the 500 nobles she created. She leaves dressed in men's clothes under the name Count Dohna and settles in Rome. She is succeeded by her cousin Charles X of Sweden. Click the link for more information.

32. UB Basel: Bernoulli-Edition Translate this page und 18. Jahrhunderts. Darunter nehmen die Materialien zu Leben und Werk der MathematikerBernoulli und jacob Hermanns eine herausragende Stellung ein. http://www.ub.unibas.ch/spez/bernoull.htm

Bernoulli-Edition Ziel, Geschichte und Organisation Die Stammtafel der Mathematiker Bernoulli Das Basler Quellenmaterial Die editorische Erschliessung ... Personelles Ziel, Geschichte und Organisation Die Bernoulli-Edition hat zum Ziel, die Werke und Briefwechsel der Mathematiker, Physiker und Mediziner, welche die Familie Bernoulli im 17. und 18. Jahrhundert hervorgebracht hat, sowie diejenigen des Bernoulli-Schülers Jacob Hermann dem heutigen Leser durch eine kommentierte Ausgabe zu erschliessen. Index Die Stammtafel der Mathematiker Jacob I Johann I Jacob HERMANN Nicolaus I ... Jacob II Für biographische Informationen auf die Porträts (engl.) oder auf die Legenden (dt.) klicken. Index Das Basler Quellenmaterial Die öffentliche Bibliothek der Universität Basel verfügt über eine ausserordentlich umfangreiche Sammlung von Quellen zur Geschichte der Mathematik und der Naturwissenschaften besonders des 17. und 18. Jahrhunderts. Darunter nehmen die Materialien zu Leben und Werk der Mathematiker Bernoulli und Jacob Hermanns eine herausragende Stellung ein. Diese Materialien umfassen zum Beispiel: umfangreiche Teile des Nachlasses von Daniel I, Daniel II, Jacob I, Jacob II, Johann I, Johann II, Johann III, Nicolaus I, Nicolaus II Bernoulli und von Jacob Hermann

33. Bernoulli bernoulli, jacob Wahrscheinlichkeitsrechung (Ars conjectandi). 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.

34. Jakob Bernoulli Jakob bernoulli (December 27, 1654 August 16, 1705), also known as jacob, Jacquesor James bernoulli was a Swiss mathematician and scientist and the older http://www.fact-index.com/j/ja/jakob_bernoulli.html

Main Page See live article Alphabetical index Jakob Bernoulli Jakob Bernoulli 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 Born in Basel Switzerland in , 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 of , a groundbreaking work on probability theory . The terms Bernoulli trial Bernoulli Theorem , and Bernoulli Numbers This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

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

36. The Bernoulli Family Family Squabbles The bernoulli Family. jacob Bernouli (1654 1705) Johann Bernouli(1667 - 1748) Daniel bernoulli (1700 - 1787). jacob bernoulli. Online. 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.

37. Jacob Bernoulli, Montmort E De Moivre Translate this page jacob bernoulli, Montmort e De Moivre. jacob bernoulli (1654-1705). O livrode jacob bernoulli Ars Conjectandi está dividido em 4 partes http://www.terravista.pt/MeiaPraia/5079/jacob.htm

Jacob Bernoulli, Montmort e De Moivre Jacob Bernoulli Capítulo 13 do livro "Games, Goods and Gambling", de F. N. David. Ars conjectandi Livro IV, Capítulos 1-3 Livro IV, Capítulo 4 O livro de Jacob Bernoulli Ars Conjectandi está dividido em 4 partes: 1ª parte : é uma reedição do tratado de Huygens: Exercitationes mathematicae libri quinque 2ª parte : é dedicada à teoria das permutações e combinações. 3ª parte : consiste na solução de vários problemas referentes a jogos de azar (sorte) 4ª parte : propõe a aplicação da teoria das probabilidades a questões de interesse moral e às ciências económicas e políticas. Nesta parte Bernoulli aponta para que não é possível haver acontecimentos reais absolutamente certos e introduz a ideia de "certeza moral", considerando que para um acontecimento ser moralmente certo, a sua probabilidade não deverá ser inferior a 0,99. Foi para determinar a certeza moral de um acontecimento que Bernoulli formula e demonstra o seu teorema mais conhecido - a Lei dos Grandes Números. A lei pode enunciar-se do seguinte modo:

38. Biografía Matemáticos: Jacob Bernoulli (1/4) Translate this page jacob pronto se convirtió en guía espiritual y en ejemplo de todos los demásmagníficos geómetras bernoulli que le sucedieron. Sigue jacob bernoulli. http://www.divulgamat.net/weborriak/Historia/MateOspetsuak/JBernoulli.asp

Textos on-line Exposiciones virtuales Recursos en Internet Jacob Beroulli (1 de 4) Johann Quiénes somos Sugerencias Agradecimientos ... Noticias DivulgaMAT

39. Jacob Bernoulli: Version Para Imprimir Translate this page jacob bernoulli (1654-1705). jacob Al cumplir 30 años, jacob bernoullise casó y tuvo un hijo, al que llamaron Nicolaus y una hija. Este http://www.divulgamat.net/weborriak/Historia/MateOspetsuak/Inprimaketak/JBernoul

Volver a Divulgamat Jacob Bernoulli (1654-1705) Acta Eruditorum integral Al final de este trabajo Jacob propuso como un reto el conocido como problema de la catenaria: catenaria, del vocablo latino catena , a, p constantes). Para ello, Jacob presenta, aunque en forma embrionaria, una idea de lo que hoy conocemos como coordenadas polares. El problema de hallar la longitud de un arco de esta espiral condujo a Jacob a considerar la primera spira mirabilis Eadem mutata resurgo , lo que puede traducirse como: En junio de 1696, mientras Johann estaba en Groninga, propuso el problema de la El problema se expresa como sigue: cicloide , a quien yo a mi vez planteo otro, y efectivamente propone no uno, sino dos nuevos problemas. problema de Basilea Fermat. Ars conjectandi A fines del siglo XVII, Jacob enferma seriamente, al parecer de tuberculosis. La enfermedad y las tensiones generadas por las enconadas e insensatas controversias con su hermano provocaron que falleciera, en plenas facultades mentales, el 16 de agosto de 1705. . Autores

40. People Five solutions were obtained, jacob bernoulli and Leibniz both solvingthe problem in addition to Johann bernoulli. jacob bernoulli. http://online.redwoods.cc.ca.us/instruct/darnold/CalcProj/Fall98/NateB/people.ht

People Who Studied the Cycloid Johann Bernoulli Jacob Bernoulli Huygens Torricelli ... L'Hospital1 Johann Bernoulli While he held the chair in Groningen, Johann Bernoulli competed with his brother in what was becoming an interesting mathematical tussle but an unfortunately bitter personal battle. Johann proposed the problem of the brachristochrone in June 1696 and challenged others to solve it. Leibniz persuaded him to give a longer time so that foreign mathematicians would also have a chance to solve the problem. Five solutions were obtained, Jacob Bernoulli and Leibniz both solving the problem in addition to Johann Bernoulli. The solution of the cycloid had not been found by Galileo who had earlier given an incorrect solution. Not to be outdone by his brother Jacob then proposed the isoperimetric problem, minimising the area enclosed by a curve. Johann's solution to this problem was less satisfactory than that of Jacob but, when Johann returned to the problem in 1718 having read a work by Taylor, he produced an elegant solution which was to form a foundation for the calculus of variations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Johann.htm

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