41. Johann Jacob Bernoulli Translate this page HName bernoulli, johann Jacob sometimes John Jacob. DateBorn 1831. PlacebornBasel. Datedied 1913. Placedied. HDescrip Classical iconographer http://www.lib.duke.edu/lilly/artlibry/dah/bernoullij.htm

HName: Bernoulli, Johann Jacob [sometimes John Jacob] DateBorn: 1831 Placeborn: Basel Datedied: 1913 Placedied: HDescrip: Classical iconographer, published the first "scientific" modern iconography of Greek and Roman portraiture. HCountry: Switzerland HBiography: . Reinhard Lullies, ed. Mainz am Rhein: Verlag Philipp von Zabern, 1988: 55-56; "Portrait Iconography." Encyclopedia of the History of Classical Archaeology . Nancy Thomson de Grummond, ed. Westport, CT: Greenwood Press, 1996, vol. 2, pp. 925, mentioned. HBibliography: . 2 vols. Munich: F. Bruckmann a.-g., 1901. 1901; Römische Ikonographie . 2 vols. Stuttgart: Union Deutsche Verlagsgesellschaft, 1882-94; Aphrodite: ein Baustein zur griechischen Kunstmythologie . Leipzig: W. Engelmann, 1873; Die erhaltenen Darstellungen Alexanders des Grossen; ein Nachtrag zur griechischen Ikonographie . Munich: F. Bruckmann, 1905.

42. Daniel Bernoulli - Wikipedia, The Free Encyclopedia johann bernoulli also tried to steal Daniel s book Hydrodynamica and rename itHydraulica. Despite Daniel s attempts at reconciliation, his father carried http://en.wikipedia.org/wiki/Daniel_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! Daniel Bernoulli From Wikipedia, the free encyclopedia. Daniel Bernoulli Daniel Bernoulli Groningen February 9 Basel March 17 ) was a Dutch -born mathematician who spent much of his life in Basel Switzerland . He worked with Leonhard Euler on the equations bearing their names. Bernoulli's principle is of critical use in aerodynamics . It is applicable to steady, inviscid incompressible flow , along a streamline Born as the son of Johann Bernoulli , and nephew of Jakob Bernoulli , Daniel Bernoulli was by far the ablest of the younger Bernoullis. He is said to have had a bad relationship with his father. Upon both of them entering and trying for first place in a scientific contest at the University of Paris , Johann, unable to bear the "shame" of being compared to his offspring, banned Daniel from his house. Johann Bernoulli also tried to steal Daniel's book Hydrodynamica and rename it Hydraulica . Despite Daniel's attempts at reconciliation, his father carried the grudge until his death.

43. Encyclopaedia Britannica Entry bernoulli, johann. Born Aug. 6 July 27, old style, 1667, Basel, Switz. DiedJan. 1, 1748, Basel. Major member of the bernoulli family of Swiss http://www.aam314.vzz.net/EB/Bernoulli_Johann.html

Bernoulli, Johann Born: Aug. 6 [July 27, old style], 1667, Basel, Switz. Died: Jan. 1, 1748, Basel Major member of the Bernoulli family of Swiss mathematicians. He investigated the then new mathematical calculus, which he applied to the measurement of curves, to differential equations, and to mechanical problems. Johann exceeded his brother in the number of contributions he made to mathematics. He applied calculus to the determination of lengths and areas of curves, such as the isochrone, along which a body will fall at constant speed, and the tautochrone, which was found to be important in clock construction. He also made contributions to the theory of differential equations, the mathematics of ship sails, and optics. Johann sent to L'Hospital in Paris a method or rule for solving problems involving limits that would apparently be expressed by the ratio of zero to zero, now called L'Hospital's rule on indeterminate forms because it was included in L'Hospital's influential textbook of 1696, Analyse des infiniment petits ("Analysis of the Infinitely Small").

44. Bernoulli Translate this page l´Hospital kündigt in einem Brief an johann bernoulli vom 17. johann bernoullihat für den Marquis ab 1691 Lehrbriefe zur Differentialrechung und 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.

45. The Mathematics Genealogy Project - Johann Bernoulli According to our current online database, johann bernoulli has 1 students and32072 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=53410

46. Bernoulli, Johann Translate this page bernoulli, johann. geboren 27.1.1667 Basel, gestorben 1.1.1748 Basel, ref., vonBasel. Sohn des Nicolaus, Kaufmanns, Grossrats und Gerichtsherrn, http://www.dhs.ch/externe/protect/textes/d/D19087.html

Bernoulli, Jacob Bernoulli, Johann No 9 Bernoulli, Johann 27.1.1667 Basel, -> No 7 (vis viva) nahm B. Stellung gegen René Descartes und für die Leibniz'sche Dynamik. Im Prioritätsstreit zwischen Newton und Leibniz ergriff B. entschieden die Partei des Letzteren. Durch seine Lehrtätigkeit - Schüler waren z.B. seine Söhne Daniel ( -> No 3 ), Johann ( -> No 10 ) und Nicolaus ( -> No 14 ), Pierre Louis Moreau de Maupertuis, Alexis Claude Clairaut, Gabriel Cramer, v.a. aber Leonhard Euler -, durch seine Publikationen und durch seinen Briefwechsel (ca. 3'500 erhaltene Briefe) trug B. entscheidend zur Verbreitung der Infinitesimalmathematik in ihrer Leibniz'schen Form in Europa bei. Werke Théorie de la manoeuvre des vaisseaux, 1714 Opera omnia, 1742 Commercium philosophicum et mathematicum, 1745 Der Briefwechsel von Johann B., 1955-, (bisher Bde. 1-3 erschienen) Die Streitschriften von Jacob und Johann B., 1991 Literatur -Poggendorff, Hwb. 7a, 77-79 DSB 2, 51-55 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

47. Bernoulli, Johann http://www.dhs.ch/externe/protect/textes/d/D25846.html

Bernoulli, Johann Bernoulli, Johann No 10 Bernoulli, Johann 18.5.1710 Basel, 17.7.1790 Basel, ref., von Basel. Sohn des Johann ( -> No 9 -> No 3 ) in St. Petersburg, 1739 mit Pierre Louis Moreau de Maupertuis in Cirey (F) bei Voltaire und der Marquise Emilie du Châtelet. 1743 Prof. für Eloquenz in Basel, 1748 Prof. für Mathematik in Basel als Nachfolger seines Vaters. 1746 Mitglied der Berliner Akad. der Wissenschaften. Vermittelte zahlreiche Schweizer Wissenschaftler nach Preussen. Mitglied der Pariser Akad. (1782). 1765/66 Rektor der Univ. Basel. Vier Preise der Pariser Akad. für Abhandlungen über die Lichtausbreitung (1736), Schiffsanker (1737), Ankerwinden (1741) und Magnete (1743). Sein Äthermodell zur Erklärung der Lichtausbreitung (1736) erinnert stark an dasjenige von James Clerk Maxwell (1861-62), doch verwarf er die Idee einer transversalen Wellenbewegung zugunsten einer longitudinalen. Ausgedehnte Korrespondenz, u.a. mit du Châtelet, Charles Marie de La Condamine, Maupertuis, Voltaire. Mitglied der Helvet. Gesellschaft. Literatur -Poggendorff

48. Biography Of Johann Bernoulli All in all, johann bernoulli made a very lasting impression on history. Not only was johann bernoulli an accomplished mathematician, but an all around 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.

49. Bioberno All in all, johann bernoulli made a very lasting impression on history. Not only was johann bernoulli an accomplished mathematician, but an allaround http://www.andrews.edu/~calkins/math/biograph/199899/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. Here is a family tree to help straighten things out. 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 deliberantly plagarized one of the latter's papers.

50. Johann Bernoulli His parents tried to set johann bernoulli on the road to a business career but, johann bernoulli made his way to Paris and there he met de l Hôpital. http://www.stetson.edu/~efriedma/periodictable/html/Be.html

Johann Bernoulli His parents tried to set Johann Bernoulli on the road to a business career but, he disliked it immensely. It was with great reluctance that Johann's father agreed in 1683 to Johann entering the University of Basel to study medicine. There he took courses in medicine but he studied mathematics with his brother Jacob, who lectured on experimental physics there. It soon became clear that Johann's time was mostly devoted to studying Leibniz's papers on the calculus with his brother Jacob. After two years of studying together Johann became the equal of his brother in mathematical skill. In 1694 he considered the function y = x x and he also investigated series using the method of integration by parts. He had great success in integrating differential equations. He summed series, and discovered addition theorems for trigonometric and hyperbolic functions using the differential equations they satisfy. As a result he was offered the chair of mathematics at Groningen. Johann Bernoulli married and had several children, three of which also became mathematicians: Nicolaus, Daniel, and Johann. Johann competed with his brother in what was becoming an interesting mathematical tussle but an unfortunately bitter personal battle. He solved the problem of the catenary which had been posed by his brother in 1691. He proposed and solved the problem of the brachristochrone in June 1696 and challenged others to solve it, his brother and Leibniz succeeding. Not to be outdone, Jacob proposed the isoperimetric problem. Johann's original solution was less than satisfactory, but he returned to the problem later and produced an elegant solution which was to form a foundation for the calculus of variations. After his brother died, he returned to Basel to fill Jacob's chair of mathematics, where he made important contributions to mechanics with his work on kinetic energy.

51. Bernoulli bernoulli, Jacques (Jakob) 16541705 and Jean (johann) (1667-1748) (The HutchinsonDictionary of Scientific Biography). Search HighBeam Research for http://www.infoplease.com/ce6/people/A0807243.html

var AdLoaded = false; var bsid = '18703'; var bsads = '5'; var bsloc = 'ros_lb '; var bswx = 728; var bshx = 90; var bsw = '_new'; var bsb = 'FFFFFF'; var bsf = 'FF0000'; var bsalt = 'off'; bspop = 1; in All Infoplease Almanacs Biographies Dictionary Encyclopedia Daily Almanac for Aug 30, 2005 Skip Navigation Home Almanacs ... Word of the Day Editor's Favorites The Fifty States Hurricanes Back to School Daylight Saving Time ... Hot Dog History Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map College Center Scholarship Search College Resources Career Center Job Search Post Your Resume Continuing Ed. more . . . Search: Infoplease Info search tips Search: Biographies Bio search tips google_ad_client = 'pub-1894504138907931'; google_ad_width = 120; google_ad_height = 240; google_ad_format = '120x240_as'; google_ad_type = 'text'; google_ad_channel =''; google_color_border = ['336699','B4D0DC','DFF2FD','B0E0E6']; google_color_bg = ['FFFFFF','ECF8FF','DFF2FD','FFFFFF']; google_color_link = ['0000FF','0000CC','0000CC','000000']; google_color_url = ['008000','008000','008000','336699']; google_color_text = ['000000','6F6F6F','000000','333333']; Encyclopedia Bernoulli [both: bern OO Pronunciation Key Bernoulli or Bernouilli , name of a family distinguished in scientific and mathematical history. The family, after leaving Antwerp, finally settled in Basel, Switzerland, where it grew in fame.

52. Bernoulli's Law - Definition Of Bernoulli's Law By The Free Online Dictionary, T Meaning of bernoulli s law. What does bernoulli s law mean? bernoulli s law synonyms bernoulli, Jakob bernoulli, Jakob bernoulli, johann http://www.thefreedictionary.com/Bernoulli's law

Domain='thefreedictionary.com' join mailing list Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia ... encyclopedia Bernoulli's law Also found in: Medical Financial Columbia Wikipedia ... Hutchinson 0.01 sec. Page tools Printer friendly Cite / link Email Feedback Ber·noul·li's law (b r-n l z) n. See law of large numbers [After Jakob Bernoulli Thesaurus Legend: Synonyms Related Words Antonyms Noun Bernoulli's law - (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics law of large numbers law of nature law - a generalization that describes recurring facts or events in nature; "the laws of thermodynamics" statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters Mentioned in References in classic literature No references found No references found Dictionary/thesaurus browser Full browser Bernicle goose Bernina Alps Bernini Bernoulli ... Bernoulli trial Bernoulli's law Bernouse Bernstein Berob beroe ... Bernoulli's inequality Bernoulli's law Bernoulli's principle Bernoulli's principle Bernoulli's principle Bernoulli's principle ... Bernoulli, Daniel

53. Bernoulli Jacob bernoulli was the brother of johann bernoulli and the uncle of Daniel johann bernoulli was told by his father to study medicine but while he 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.

54. Daniel Bernoulli And The Making Of The Fluid Equation (johann bernoulli never credited Newton with his discoveries in connection withthe Calculus, instead giving the credit almost entirely to Leibnitz; http://pass.maths.org.uk/issue1/bern/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 1 January 1997 Contents Features Understanding turbulence Daniel Bernoulli and the making of the fluid equation Career interview Student interview - Mark Langley Career profile - Academic Researcher Regulars Plus puzzle Pluschat Mystery mix Letters ... posters! January 1997 Features Daniel Bernoulli and the making of the fluid equation by D.A. Quinney Daniel Bernoulli 1700-1782 Source: The Turner Collection, Keele University. Daniel Bernoulli, born in 1700, came from a long line of mathematicians. His father Johann was head of mathematics at Groningen University in the Netherlands. The family was prone to bitter rivalry: something he was to suffer when he became estranged from his father some 30 years later. At the age of five, the Bernoulli family returned home to Basel in Switzerland, so that Johann's wife could be with her ailing father. Some years earlier Johann had applied to become professor of mathematics at Basel University, but this was denied him because his elder brother, Jakob had deliberately schemed to prevent him getting the post. Later Jakob got the professorship. En route to Basel, Johann learned that Jakob had just died of tuberculosis. He later recalled rather shamelessly that " ... I could succeed to my brother's position." He set about lobbying for the vacant position and in less than two months he got his way.

55. Leonard Euler The fact that Euler’s father had been a friend of johann bernoulli’s in theirundergraduate days undoubtedly made the task of persuasion much easier. http://mathsforeurope.digibel.be/Euler.html

By Liesbeth De Cock (left) Ilse de Saegher (middle) ilse_de_saegher@hotmail.com Nele Roelens (right) johan. roelens@pi.be Natalie Van Eynde 6MTWE vaneyndenatalie@hotmail.com Liesbeth Van Raemdonck 6SPWE liesje22@hotmail.com Leonhard Euler. Born: 15 april 1707 in Basel, Switzerland Died: 18 sept 1783 in St. Petersburg, Russia Contents: 1. His life. 2. Euler's number e. 3. Euler's straight line. 4. The proposition of Euler or: Euler's formula. ... 7. Sources 1.His life. Leonhard Euler was born in Basel (Switzerland), on 15 April 1707 and he died on 18 September 1783, in St Petersburg (Russia). The family of Leonhard Euler moved to Riehen when Leonhard was one year old and it was in Riehen, not far from Basel, that Leonhard was brought up. He graduated from the University of Basel in 1724 where he studied theologie and Hebrew. During this time at the school, he was privately tutored in mathematics by Johann Bernoulli. Johann was so impressed by his pupil's ability that he convinced Euler's father to allow Leonhard to become a mathematician. Euler completed his studies at the University of Basel in 1726. He had studied many mathematical works during his time in Basel. These works were from Varignon, Descartes, Newton, Galileo, von Schooten, Jacob Bernoulli, Hermann, Taylor and Wallis.

56. Bernoulli, Johann De Leonhard, Basel, Privathaushalt (1880-1895) Translate this page Verzeichnis der Wirtschaftsbestände in öffentlichen und privaten Archiven derSchweiz und Liechtensteins. Bestände Schweizerisches Wirtschaftsarchiv. http://www.ub.unibas.ch/wwz/vsa/204-049.htm

arCHeco Verzeichnis der Wirtschaftsbestände in öffentlichen und privaten Archiven der Schweiz und Liechtensteins / Répertoire des fonds d'archives d'entreprises en Suisse et au Liechtenstein Bernoulli, Johann de Leonhard Archiv Schweizerisches Wirtschaftsarchiv Signatur CH SWA HS 337 Titel Bernoulli, Johann de Leonhard, Partikular Laufzeit Umfang 0.02 m (1 Bd) Name(n) des Aktenbildners Typus Privatnachlass Zeitraum des Bestehens / Lebensdaten Ort Basel Kanton BS Branche Privathaushalt / Inhalt 1 Haushaltungsbuch Benutzungsbestimmungen keine Findmittel Zettelkatalog Bernoulli-Baer, Elisabeth (Mutter) (CH SWA HS 334) Bernoulli-Baer, Leonhard de Niklaus (Vater) (CH SWA HS 335) Bernoulli-von der Tann, Wilhelm de Leonhard (Bruder) (CH SWA HS 336) Bernoulli-Burckhardt, Niklaus de Johann (CH SWA HS 333) Bernoulli, Leonhard de Niklaus und Niklaus de Johann (CH SWA HS 338) Leonhard Bernoulli, Drogerie und Materialwaren (CH SWA HS 339) Goldene Apotheke, Dokumentensammlung SWA: H + I F 251 Bibliographische Hinweise Bemerkungen

57. UB Basel: Bernoulli-Edition Translate this page Für Jacob I bernoulli, Daniel bernoulli und johann I bernoulli unter Beispiel Ich suche alle Korrespondenzen von johann I bernoulli aus den Jahren http://www.ub.unibas.ch/spez/bernoulli-inventar.htm

Bernoulli-Edition: Briefinventar Suchformulare Kommentare zu den Daten Beispiele für Recherchen Das Basler Inventar der Bernoulli-Briefwechsel (BIBB) erstellt und herausgegeben von Fritz Nagel unter Mitarbeit von Sulamith Gehr und Martin Mattmüller Für das Internet aufbereitet von Bert Wessendorf, Andreas von Arx, Bernd Luchner und Simon Geiger 2005 UB Basel Inhalt des Inventars Enstehung Das Inventar der Bernoulli-Briefwechsel wurde im Rahmen mehrerer Forschungsprojekte des Schweizerischen Nationalfonds von Fritz Nagel, Leiter der Forschungsstelle Basel der Bernoulli-Edition, erstellt. Bei der Erfassung der Dokumentendaten wurde er von Martin Mattmüller unterstützt. Bei der Aufnahme und der Identifikation der in den Briefen erwähnten Personen sowie bei der kritischen Durchsicht der Daten hat Frau lic. phil. Sulamith Gehr mitgewirkt. Die Übernahme der Daten aus der Datenbank LIDOS der Forschungsstelle Basel der Bernoulli-Edition in das System ALEPH der Öffentlichen Bibliothek der Universität Basel erfolgte unter der Leitung von Herrn Dr. Bert Wessendorf, die Präsentation der Daten im Internet und die Adaption der Recherchemöglichkeiten an die Bedürfnisse des BIBB lag in den Händen der Herren Andres von Arx, Bernd Luchner und Simon Geiger von der UB Basel. Gegenstand des Inventars Das Inventar hat die Briefwechsel folgender Autoren zum Gegenstand: Jacob I Bernoulli (1654-1705) Johann I Bernoulli (1667-1748) Nicolaus I Bernoulli (1687-1759) Nicolaus II Bernoulli (1695-1726)

58. Bernoulli Family johann bernoulli was an even more prolific contributor to mathematics than was his johann bernoulli wrote on a wide variety of topics, including optical http://library.thinkquest.org/27694/Bernoulli Family.htm

The Bernoulli Family The principal contributions to Mathematics in the eighteen century were made by members of the Bernoulli family, Abraham De Moivre, Brook Taylor, Colin Maclaurin, Leonhard Euler, Alexis Claude Clairaut, Jean-Le-Rond d’Alembert, Johann Heinrich Lambert, Joseph Louis Lagrange, Pierre-Simon Laplace, Adrien-Marie Legendre, Gaspard Monge and Lazare Carnot. It will be observed that the bulk of the mathematics of these men found its genesis and its goal in the applications of the calculus to the fields of mechanics and astronomy. It was not until well into the nineteenth century that mathematical research generally emancipated itself from this viewpoint. Now we will describe the remarkable Bernoulli family. Johann Bernoulli was an even more prolific contributor to mathematics than was his brother Jakob. Though he was a jealous and cantankerous man, he was one of the most successful teachers of his time. He greatly enriched the calculus and was very influential in making the power of the new subject appreciated in continental Europe. It was his material that the Marquis de L’Hospital (1661-1704), under a curious financial agreement with Johann, assembled in 1696 into the first calculus textbook. It was in this way that the familiar method of evaluating the indeterminate form 0/0 became incorrectly known, in later calculus texts, as L’Hospital’s rule. Johann Bernoulli wrote on a wide variety of topics, including optical phenomena connected with reflection and refraction, the determination of the orthogonal trajectories of families of curves, rectification of curves and quadrature of areas by series, analytical trigonometry, the exponential calculus and other subjects.

59. Johann(II) Bernoulli To find out about other bernoulli family members, click on one of the following.Nicolaus bernoulli Jakob(I) bernoulli johann(I) bernoulli http://www.roma.unisa.edu.au/07305/Johann2.htm

JOHANN(II) BERNOULLI BORN: May 28 1710, in Basel, Switzerland DIED: July 17 1790, in Basel, Switzerland One of the lesser known Bernoullis was Johann(II). He was the third son of Johann(I) and brother to Nicolaus(III) and Daniel(I). He studied law for part of his professional life, but soon the draw that mathematics had on his family took over and he started studying mathematics full time. He was appointed to a chair at the Basel University and his main areas of study were: heat, and light. Long life seemed to be a habit for this family and Johann(II) was no exception. He was 80 years old when he died. To return to the Bernoulli home page, click here. To find out about other Bernoulli family members, click on one of the following: Nicolaus Bernoulli Jakob(I) Bernoulli Johann(I) Bernoulli Nicolaus(II) Bernoulli ... Johann(III) Bernoulli

60. Johann Bernoulli -- Facts, Info, And Encyclopedia Article johann bernoulli. Categories 18th century mathematicians, 17th century johann bernoulli ( (A city in northwestern Switzerland) Basel, July 27, http://www.absoluteastronomy.com/encyclopedia/j/jo/johann_bernoulli.htm

Johann Bernoulli [Categories: 18th century mathematicians, 17th century mathematicians, Swiss mathematicians, 1748 deaths, 1667 births] Johann Bernoulli (A city in northwestern Switzerland) Basel , July 27, 1667 - January 1, 1748) was a (The natives or inhabitants of Switzerland) Swiss (A person skilled in mathematics) mathematician . He was the brother of (Swiss mathematician (1654-1705)) Jakob Bernoulli , and the father of (Swiss physicist who contributed to hydrodynamics and mathematical physics (1700-1782)) Daniel Bernoulli and (Click link for more info and facts about Nicolaus II Bernoulli) Nicolaus II Bernoulli . He is also known as Jean or John Bernoulli With his brother, Bernoulli pioneered (Click link for more info and facts about Gottfried Leibniz) Gottfried Leibniz 's (A hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body) calculus . He also contributed to many areas of (The branches of mathematics that are involved in the study of the physical or biological or sociological world) applied mathematics , including the problem of a particle moving in a gravitational field. He found the equation of the

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