41. UB Basel: Bernoulli-Edition Translate this page An der zweiten Etappe mit vier Werkreihen (sie umfassen die Werke von johann I bernoulli,Jacob Hermann/Nicolaus I bernoulli, johann II, Jacob II und johann 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

42. Bernoulli, Johann bernoulli, johann (16671748). Swiss mathematician who with his brother Jakobbernoulli pioneered German mathematician Gottfried Leibniz's calculus. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/B/BernoulliJO/1.

Bernoulli, Johann Swiss mathematician who with his brother Jakob Bernoulli pioneered German mathematician Gottfried Leibniz's calculus. He was the father of Daniel Bernoulli. Johann also contributed to many areas of applied mathematics, including the problem of a particle moving in a gravitational field. He found the equation of the catenary 1690 and developed exponential calculus 1691. Bernoulli was born in Basel and studied medicine, but became professor of mathematics at Groningen, the Netherlands, 1694-1705, and then at Basel. Both Johann and Jakob wrote papers on a wide variety of mathematical and physical subjects, and it is often difficult to separate their work, although they never published together.

43. Mathematicians Translate this page Banneker, Benjamin Banu, Musa Barrow, Isaac Bayes, Reverend Thomas Beltrami, Eugeniobernoulli, Daniel bernoulli, Jakob bernoulli, johann Bessel, Friedrich http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Mathematic

Babbage, Charles Baker, Alan Balmer, Johann Jakob Banneker, Benjamin Babbage, Charles Baker, Alan Balmer, Johann Jakob Banneker, Benjamin ... Byron, Augusta Ada

44. Mathematician Index Archytas Argand, Jean Robert Aristarchus Aristotle Barrow, Isaac bernoulli, Danielbernoulli, Jacob bernoulli, Jacob(II) bernoulli, johann bernoulli, johann(II http://members.fortunecity.com/kokhuitan/mathematicianindex.html

Index of Mathematicians Abel, Niels Henrik Apollonius Archimedes Archytas ... Zeno Return to Maths Homepage

45. 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)

46. The Works Of Daniel Bernoulli Daniel bernoulli Daniel, the second son of johann I bernoulli, was born inGroningen. He studied medicine at Basel, Heidelberg and Strasbourg. http://www.birkhauser.ch/books/math/bernoulli/daniel.html

Home Highlights Mathematics Search ... Show shopping cart Daniel Bernoulli Works Bernoulli Family Jacob Bernoulli Johann I Bernoulli Daniel Bernoulli Daniel, the second son of Johann I Bernoulli, was born in Groningen. He studied medicine at Basel, Heidelberg and Strasbourg. Continuing his education in Venice, he became increasingly involved in mathematics. In 1725, Daniel was appointed to the Imperial Academy of St. Petersburg, together with his brother Nicolaus II. There he turned his attention to mechanics and wrote the first draft of his Hydrodynamica ; the final version, his most important single work, was to be published in Strasbourg in 1738. In 1733, Daniel returned to Basel, at first to the chair of anatomy and botanics; in 1743 he became professor of medicine, and in 1750 he was finally appointed to the chair of physics. In more than seventy papers published in various journals, Daniel treated problems in physics and mathematics, some of them involving applications of probability theory. He was awarded the prize of the Paris ten times. Daniel Bernoulli died in Basel in 1782.

47. Daniel, Jakob & Johann Bernoulli johann bernoulli, Hauptseite/Main Page. Deutsch, English. http://www.niester.de/p_natwis/bernoulli/bernoulli.html

Hauptseite/Main Page Deutsch English Bernoulli, Daniel ( 1700 - 1782 ) Bernoulli, Daniel Daniel Bernoulli and the making of the fluid equation Bernoulli, Jakob (1654-1705) from Eric Weisstein's Treasure Trove of Scientific Biography ... Bernoulli, Johann (1667-1748) from Eric Weisstein's Treasure Trove of Scientific Biography Erstellt am:

48. The Science Bookstore - Chronology AD, bernoulli, johann (I) Born 7/27/1667 Died 1/1/1748, 1667 AD, bernoulli bernoulli.bernoulli, johann (III) Died 11/4/1744, 1744 AD, Email http://www.thesciencebookstore.com/chron.asp?searchstring=Bernoulli

49. The Science Bookstore - Books bernoulli, johann. Der Briefwechsel von johann bernoulli. Basel Birkhauser, 1955.530 Royal 8vo. L'Hôpital was taught calculus by johann bernoulli in 1691. http://www.thesciencebookstore.com/bookmain.asp?bookcat=Mathematics

50. BiblioDb Translate this page bernoulli, Jacob (Jacques). bernoulli, Johan II. bernoulli, johann. bernoulli,johann III. bernoulli, Nicolaus II. Bernstein, Peter L. Black, Fischer. http://aleasrv.cs.unitn.it/bibliodb.nsf/Pernome?OpenForm

51. Bioberno Back to the Table of Contents johann bernoulli (Aug 6,1667Jan 1,1748). Allin all, johann bernoulli made a very lasting impression on history. 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.

52. Bernoulli Translate this page Fue maestro de Leonhard Euler y padre de Daniel bernoulli (famoso por sustrabajos en hidráulica), Nicolaus bernoulli y johann (II) bernoulli. 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.

53. Bernojohann Translate this page bernoulli, johann (II). 1710-1790. johann (II) bernoulli era uno delos tres hijos de johann bernoulli. Originalmente estudió http://www.sectormatematica.cl/biografias/bernojohann.htm

Bernoulli, Johann (II) Johann (II) Bernoulli era uno de los tres hijos de Johann Bernoulli. Originalmente estudió leyes pero volvió a las matemáticas y fue nombrado para ocupar una cátedra en Basilea. Sus investigaciones sobre cálculo diferencial quedaron recogidas en la obra de L'Hopital. Está considerado como el fundador del cálculo exponencial.

54. Encyclopædia Britannica outstanding harpsichordist, bernoulli, johann major member ofthe bernoulli family of Swiss mathematicians. He investigated http://search.britannica.com/search?query=Johann Koerbecke

55. Encyclopædia Britannica Did you mean bernoulli, johann (Swiss math.), Log In or Subscribe Now. bernoulli,johann major member of the bernoulli family of Swiss mathematicians. http://search.britannica.com/search?query=Johann Bernoulli

56. Daniel Bernoulli And The Making Of The Fluid Equation (johann bernoulli never credited Newton with his discoveries in connection Danielput in the frontispiece Hydrodynamica, by Daniel bernoulli, Son of johann . http://plus.maths.org/issue1/bern/

PRIME NRICH PLUS Current Issue ... Subject index Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 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 was born on January 29th 1700. He 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.

57. Tensen Physics (17th Century) 1661 1670 bernoulli, johann(1667-1748), de Fermat (1601-1665), Huygens(1625-1695), Leibniz (1646-1714/16), Newton (1642-1727) and others. http://www.mcm.edu/~christej/dictionary/history/h16--.html

Millenium: Century: Previous Current Next Previous ... Next Scientific Contemporaries de Fermat , ...and others de Fermat , ...and others de Fermat Huygens , ...and others de Fermat Huygens , ...and others de Fermat Huygens Leibniz ... Newton ...and others de Fermat Huygens Leibniz ... Newton ...and others Bernoulli , Johann de Fermat Huygens Leibniz Newton ...and others Bernoulli , Johann Huygens Leibniz Newton ...and others Bernoulli , Johann Huygens Leibniz Newton ...and others Bernoulli , Johann Huygens Leibniz Newton ...and others

58. Modelo De Johann I. Bernoulli Translate this page Modelo de johann I. bernoulli (Model) 1667-1748 Fue usado por (It was used by)Daniel Castañeda, en su estudio de (in his study of) 1930 N=170/(L+0.6*d http://www.geocities.com/rvelaz.geo/tesis/f130/johann.htm

Modelo de Johann I. Bernoulli (Model) 1667-1748 , en su estudio de (in his study of) 1930: N=170/(L+0.6*d) , donde (where): L=Longitud, desde la boca al hoyo (Length from the mouth) (m); 170=340(velocidad del sonido usada)(sound speed)/2 NOTAS: Serie 4=Frecuencias calculadas con factor = 1.37 (Calculated Frequencies with factor) Resultados: (Results: The measured frequencies varies, in a range, with the input air flow velocity. The measured frequencies do not adjust the calculated data with the equation, because the influence of mouth and tone holes dimentions in the length of this little flute.)

59. Johann johann bernoulli. July 27th 1667 January 1, 1748. johann was upon. Whilein Holland, johann had sons Daniel and johann (II) bernoulli. In http://www.frc.mass.edu/smabrouk/calculus_III/History_Student_Web_Pages/Baker_La

Johann Bernoulli July 27th 1667- January 1, 1748 Johann was the 10th child of Nicolaus and Margaretha Bernoulli and brother to Jakob Bernoulli. When Johann was born Jakob was already twelve years old and therefore, had an influence on his mathematical career. By the age of fifteen, Johann's parents wanted him to go into the family spice business. After working for one year in 1683, Johann entered the University of Basel. He entered the University to study medicine, despite his liking for mathematics and mathematical physics. He was studying mathematics under his brother Jakob and spent most of his time studying Leibniz's theories on calculus. Within the matter of two years, Johann was equal in mathematical skill to his brother Jacob. In 1691, Johann traveled to Geneva where he gave lectures on differential calculus. Johann continued onto Paris, where he met many important mathematicians such as, de L'Hopital. Bernoulli began discussing many concepts of calculus with de L'Hopital whom paid him well for sharing his knowledge. These sessions went on for quite a some time as they continued when Johann returned to Basel. He was generously compensated for his instruction, which was equivalent to half a professor’s salary. de L'Hopital knew that with Johann's help he was assured a place in the history of mathematics since he published the first calculus book Analyse des infiniment petits pour l'intelligence des lignes courbes

60. Canterary There were many solutions for this problem by 5 different mathematicans, Jakobbernoulli, johann bernoulli, Gottfreid Leibniz, de L'Hopital and aslo an http://www.frc.mass.edu/smabrouk/calculus_III/History_Student_Web_Pages/Baker_La

Catenary Problem The Catenary problem (catenary means chain) was proposed in the Acta Eruditorium in May 1690 By Jakob Bernoulli stated: "To find the curve assumed by a loose string hung freely from two fixed points" In June 1691 there was three solutions published, from Leibniz, Huygens and Johann Bernoulli. Jakob was unable to solve this problem. Even though each one of these mathematicians approached this problem in three different ways the same result came out which was the Catenary curve The Equation for the Catenary Curve is y= e^ +e^ /2a home page return to previous page Brachistchrone Problem By Johann Bernoulli "given two points A and B in a vertical Plane, what is the curve traced out by a point acted on only by gravity, which starts at A and reaches B in the shortest time?" There were many solutions for this problem by 5 different mathematicans, Jakob Bernoulli, Johann Bernoulli, Gottfreid Leibniz, de L'Hopital and aslo an anoymous mathematican who was later identified as Sir Isacc Newton. All five solutions were correct, however Johann's was the first to use the cycloid as limit of strips. done using maple In Greek Brachisto means shortest and Chone mean Time.

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