41. Math History - Baroque Era 1690, jacob bernoulli uses the word integral for the first time to refer tothe area under Johann bernoulli, jacob bernoulli and Leibniz all solve it. http://lahabra.seniorhigh.net/pages/teachers/pages/math/timeline/mBaroque.html

Math History Timeline Baroque Era 1600-1700 A.D. Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... 20th Century ... non-Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... External Resources Kepler publishes Astronomia nova (New Astronomy). The work contains Kepler's first and second law on elliptical orbits, but only verified for the planet Mars. Napier publishes his work on logarithms in Mirifici logarithmorum canonis descriptio (Description of the Marvellous Rule of Logarithms). Kepler publishes Nova stereometria doliorum vinarorum (Solid Geometry of a Wine Barrel), an investigation of the capacity of casks, surface areas, and conic sections. He first had the idea at his marriage celebrations in 1613. His methods are early uses of the calculus. Briggs publishes Logarithmorum chilias prima (Logarithms of Numbers from 1 to 1,000) which introduces logarithms to the base 10.

42. The Bernoullis jacob or James bernoulli was born at Bâle on December 27, 1654; in 1687 he wasappointed to a chair in mathematics in the university there; and occupied it http://www.maths.tcd.ie/pub/HistMath/People/Bernoullis/RouseBall/RB_Bernoullis.h

The Bernoullis From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. James Bernoulli John Bernoulli Daniel Bernoulli James Bernoulli Jacob or James Bernoulli He was one of the earliest to realize how powerful as an instrument of analysis was the infinitesimal calculus, and he applied it to several problems, but did not himself invent any new processes. His great influence was uniformly and successfully exerted in favour of the use of the differential calculus, and his lessons on it, which were written in the form of two essays in 1691 and are published in the second volume of his works, shew how completely he had even then grasped the principles of the new analysis. These lectures, which contain the earliest use of the term integral, were the first published attempt to construct an integral calculus; for Leibnitz had treated each problem by itself, and had not laid down any general rules on the subject. The most important discoveries of James Bernoulli were his solution of the problem to find an isochronous curve; his proof that the construction for the catenary which had been given by Leibnitz was correct, and his extension of this to strings of variable density and under a central force; his determination of the form taken by an elastic rod fixed at one end and acted on by a given force at the other, the elastica ; also of a flexible rectangular sheet with two sides fixed horizontally and filled with a heavy liquid, the

43. Bernoulli_Jacob jacob bernoulli was the brother of Johann bernoulli and the uncle of Daniel jacob bernoulli was appointed professor of mathematics in Basel in 1687 and http://homepages.compuserve.de/thweidenfeller/mathematiker/bernoullija.htm

Jacob (Jacques) Bernoulli Born: 27 Dec 1654 in Basel, Switzerland Died: 16 Aug 1705 in Basel, Switzerland 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. Nicolaus Bernoulli was an important citizen of Basel, being a member of the town council and a magistrate. Jacob Bernoulli's mother also came from an important Basel family of bankers and local councillors. Jacob Bernoulli was the brother of Johann Bernoulli and the uncle of Daniel Bernoulli. He was compelled to study philosophy and theology by his parents, which he greatly resented, and he graduated from the University of Basel with a master's degree in philosophy in 1671 and a licentiate in theology in 1676. During the time that Jacob Bernoulli was taking his university degrees he was studying mathematics and astronomy against the wishes of his parents. It is worth remarking that this was a typical pattern for many of the Bernoulli family who made a study of mathematics despite pressure to make a career in other areas. However Jacob Bernoulli was the first to go down this road so for him it was rather different in that there was no tradition of mathematics in the family before Jacob Bernoulli. Later members of the family must have been much influenced by the tradition of studying mathematics and mathematical physics.

44. De L'Hopital by the lectures of his teacher Johann bernoulli, jacob bernoulli and Leibniz . Leibniz and jacob bernoulli puts l Hôpital in very good company. http://homepages.compuserve.de/thweidenfeller/mathematiker/hopital.html

Guillaume De l'Hôpital (1661, Paris - 1704, Paris) Guillaume De l'Hôpital wrote the first textbook on calculus in 1696 which was much influenced by the lectures of his teacher Johann Bernoulli, Jacob Bernoulli and Leibniz. L'Hôpital served as a cavalry officer but resigned because of nearsightedness. From that time on he directed his attention to mathematics. L'Hôpital was taught calculus by Johann Bernoulli in 1691. L'Hôpital was a very competent mathematician and solved the brachystochrone problem. The fact that this problem was solved independently by Newton , Leibniz and Jacob Bernoulli puts l'Hôpital in very good company. L'Hôpital's fame is based on his book Analyse des infiniment petits pour l'intelligence des lignes courbes (1692) which was the first text-book to be written on the differential calculus. In the introduction L'Hôpital acknowledges his indebtedness to Leibniz, Jacob Bernoulli and Johann Bernoulli but L'Hôpital regarded the foundations provided by him as his own ideas. In this book is found the rule, now known as L'Hôpital's rule, for finding the limit of a rational function whose numerator and denominator tend to zero at a point.

45. Bernoulli. The Columbia Encyclopedia, Sixth Edition. 2001-05 jacob, Jacques, or James bernoulli, 1654–1705, became professor at Basel in 1687.One of the chief developers both of the ordinary calculus and of the http://www.bartleby.com/65/be/BernoulFam.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Bernoulli or Bernouilli (both: b rn y KEY ) , 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.

46. The Bernoulli Family At any rate both Vlacic and jacob bernoulli appear in Frankfurt in 1567 and threeyears later (1570) bernoulli is admitted a Burger (citizenship) in that http://www.fyma.ucl.ac.be/~gaino/Bernoulli/biographies.html

Why a Bernoulli Edition? The Bernoulli Family Works and correspondence The scientific legacy ... The Edition (about us) Links Contacts: P. Radelet : General Editor F. Nagel : Editor responsible for Correspondence B. Gaino : Secretary BIOGRAPHIES It appears that this move was linked to Jacob's association with Matija Vlacic, the Croatian reformer zealous in the Lutheran cause, who visited Antwerpen in 1566. The long-standing edict against heretics (Karl V, 1550), to be activated in the now imminent counter-reformation campaign of the Duke of Alba, may have been the immediate impulse for the move. At any rate both Vlacic and Jacob Bernoulli appear in Frankfurt in 1567 and three years later (1570) Bernoulli is admitted a Burger (citizenship) in that city; some time later Jacob is mentioned as an arms manufacturer. In fact, Jacob was a central figure in the migration of followers of the Augsburg Confession from Antwerpen to Frankfurt: later he and his sons are the leading figures among the Antorfer Martinisten (Antwerpen Lutherans) in the Frankfurt congregation.

47. Jacob It was through jacob bernoulli that Hermann made the acquaintance of Leibniz andon the death of bernoulli in 1705 it was Hermann that Leibniz chose to http://www.fyma.ucl.ac.be/~gaino/Bernoulli/JacobHermann.html

Why a Bernoulli Edition? The Bernoulli Family Works and correspondence The scientific legacy ... The Edition (about us) Links Contacts: P. Radelet : General Editor F. Nagel : Editor responsible for Correspondence B. Gaino : Secretary In his work on series, Jacob I set about organizing his material through a series of dissertations, the defence of which was assigned individually to the students working with him; first among these is the clergyman Paul Euler, the father and first teacher of the famous Leonhard: there also occur the names Fritz, Beck, Hermann, Harscher as well as his nephew Nicolaus I Bernoulli. However, none attracted the master's attention more than did Jacob Hermann, who was assigned the defence of Theses 36-46 (later Op. LXXIV) on series in 1696. Hermann is the only one not bearing the name Bernoulli whose work is included in the Bernoulli Edition. Responsio ad Clarissimi Viri Bernhardt Nieuwentijt considerationes secundas circa calculi differentialis principia editas Acta Eruditorum It was through the influence of Leibniz that Hermann was appointed Professor of Mathematics in Padova (1707) and later in Frankfurt an der Oder (1713). In Italy he compiled his largest work

48. Bernoulli_Daniel His older brother was Nicolaus(II) bernoulli and his uncle was jacob bernoulliso he was born into a family of leading mathematicians but also into a family http://www.mathsoc.spb.ru/pantheon/bernoull/dan.html

Daniel Bernoulli Born: 8 Feb 1700 in Groningen, Netherlands Died: 17 March 1782 in Basel, Switzerland Daniel Bernoulli was the son of Johann Bernoulli. He was born in Groningen while his father held the chair of mathematics there. His older brother was Nicolaus(II) Bernoulli and his uncle was Jacob Bernoulli so he was born into a family of leading mathematicians but also into a family where there was unfortunate rivalry, jealousy and bitterness. When Daniel was five years old the family returned to their native city of Basel where Daniel's father filled the chair of mathematics left vacant on the death of his uncle Jacob Bernoulli. When Daniel was five years old his younger brother Johann(II) Bernoulli was born. All three sons would go on to study mathematics but this was not the course that Johann Bernoulli planed for Daniel. Johann Bernoulli's father had tried to force Johann into a business career and he had resisted strongly. Rather strangely Johann Bernoulli now tried exactly the same with his own son Daniel. First however Daniel was sent to Basel University at the age of 13 to study philosophy and logic. He obtained his baccalaureate examinations in 1715 and went on to obtain his master's degree in 1716. Daniel, like his father, really wanted to study mathematics and during the time he studied philosophy at Basel, he was learning the methods of the calculus from his father and his older brother Nicolaus(II) Bernoulli. Johann was determined that Daniel should become a merchant and he tried to place him in an apprenticeship. However Daniel was as strongly opposed to this as his own father had been and soon Johann relented but certainly not as far as to let Daniel study mathematics. Johann declared that there was no money in mathematics and so he sent Daniel back to Basel University to study medicine. This Daniel did spending time studying medicine at Heidelberg in 1718 and Strasbourg in 1719. He returned to Basel in 1720 to complete his doctorate in medicine.

49. Euler University of Basel and had attended jacob bernoulli s lectures there. In factPaul Euler and Johann bernoulli had both lived in jacob bernoulli s house http://www.mathsoc.spb.ru/pantheon/euler/

Leonhard Euler Born: 15 April 1707 in Basel, Switzerland Died: 18 Sept 1783 in St Petersburg, Russia See also a Russian article Leonhard Euler 's father was Paul Euler. Paul Euler had studied theology at the University of Basel and had attended Jacob Bernoulli's lectures there. In fact Paul Euler and Johann Bernoulli had both lived in Jacob Bernoulli's house while undergraduates at Basel. Paul Euler became a Protestant minister and married Margaret Brucker, the daughter of another Protestant minister. Their son Leonhard Euler was born in Basel, but the family moved to Riehen when he was one year old and it was in Riehen, not far from Basel, that Leonard was brought up. Paul Euler had, as we have mentioned, some mathematical training and he was able to teach his son elementary mathematics along with other subjects. Leonhard was sent to school in Basel and during this time he lived with his grandmother on his mother's side. This school was a rather poor one, by all accounts, and Euler learnt no mathematics at all from the school. However his interest in mathematics had certainly been sparked by his father's teaching, and he read mathematics texts on his own and took some private lessons. Euler's father wanted his son to follow him into the church and sent him to the University of Basel to prepare for the ministry. He entered the University in 1720, at the age of 14, first to obtain a general education before going on to more advanced studies. Johann Bernoulli soon discovered Euler's great potential for mathematics in private tuition that Euler himself engineered. Euler's own account given in his unpublished autobiographical writings, see [1], is as follows:-

50. JacobBernoulli Translate this page 1691 benutzte bernoulli als erster im Druck das in Basel geprägte und Zu ihnenzählten sein Bruder Johann, sein Neffe und va der Basler jacob Hermann. http://www.mathe.tu-freiberg.de/~hebisch/spiralen3/JacobBernoulli.htm

Jacob Bernoulli 6.1.1655 (27.12.1654 alten Stils) Basel, logarithschen Spirale

51. UB Basel: Bernoulli-Edition The bernoulli Family Tree. jacob I 16541705, Johann I 1667-1748. /¯¯¯¯¯¯¯, ,¯¯¯¯¯¯\. jacob HERMANN 1678-1733. Nicolaus I 1687-1759. Nicolaus II 1695-1726 http://www.york.ac.uk/depts/maths/histstat/people/bernoulli_tree.htm

The Bernoulli Family Tree Jacob I Johann I Jacob HERMANN Nicolaus I Nicolaus II Daniel Johann II Johann III Jacob II

52. EconPapers: The Significance Of Jacob Bernoulli's Ars Conjectandi For The Philos By Glenn Shafer; The significance of jacob bernoulli. http://econpapers.repec.org/article/eeeeconom/v_3A75_3Ay_3A1996_3Ai_3A1_3Ap_3A15

EconPapers Home About EconPapers Working Papers Journal Articles ... Format for printing EconPapers has moved to http://econpapers.repec.org! Please update your bookmarks. The significance of Jacob Bernoulli's Ars Conjectandi for the philosophy of probability today Glenn Shafer Journal of Econometrics , 1996, vol. 75, issue 1, pages 15-32 Downloads: (external link) http://www.sciencedi ... 182f65b4ed430decccb2 Full text for ScienceDirect subscribers only Related works: This item may be available elsewhere in EconPapers: Search for items with the same title. Access Statistics for this article Journal of Econometrics is edited by T. Amemiya More articles in Journal of Econometrics from Elsevier Series data maintained by Heidi Boesdal ( This site is part of RePEc and all the data displayed here is part of the RePEc data set. Is your work missing from RePEc? Here is how to contribute Questions or problems? Check the EconPapers FAQ or send mail to Econpapers is hosted by the Department of Business, Economics, Statistics and Informatics at –rebro University. Page updated 2005-06-17 Handle: RePEc:eee:econom:v:75:y:1996:i:1:p:15-32

53. ¤j®v¤¶²Ð bernoulli, jacob (Jacques) (16541705). Boole,George Boole,George (1815-1864),Bonferroni,Carlo Emilio Bonferroni,Carlo Emilio http://www.ntpu.edu.tw/stat/learning/people.htm

Pearson,Karl Gossett,William Sealy Paul Levy Sir Ronald Aylmer Fisher Cramer, Carl Harald Neyman,Jerzy Pearson,Egon Sharpe Cox,Gertrude Mary Kolmogorov,Andrey Nikolaevich Tukey,John Wilder Feller,William Cochran,William Gemmell Bayes,Reverend Thomas Blackwell, David (Harold) Bernoulli, Jacob (Jacques) Boole,George Bonferroni,Carlo Emilio Markov, Andrei Andreevich Deming, William Edwards Gibbs, Josiah Willard Weibull,Wallodi Abbe,Ernst Carl Akaike, Hirotugu Anderson, Theodore Wilbur ¥»ºô­¶²Î­p¤Hª«¸ê®Æ¡A¥D­n°Ñ¦Ò A dictionary of Statistics , Oxford ²Î­p¡A§ïÅܤF¥@¬É,¤Ñ¤U http://www-gap.dcs.st-and.ac.uk/

54. Bernoulli, Jacob (Jacques) Bernoulli, Jacob (Jacques) Bernoulli bernoulli, jacob (Jacques) (16541705) ,?(Basel)?,? The Art of Conjectaring http://www.ntpu.edu.tw/stat/learning/people/bernoulli_jacob.htm

Bernoulli, Jacob (Jacques) (1654-1705) ¡A¥X¥Í©ó·ç¤hªº¤Ú¶ëº¸(Basel)¡C¹ï©ó²Î­p¾Ç®a¨Ó»¡¡A¨äµÛ§"@ The Art of Conjectaring" ¹ï©ó¾÷²vªºµo®i³Ì¬°¤Hª¾¡C¦b³o®Ñ1713¦~¥Xª©ªº®Ñ¤¤¡A¤¶²Ð¤FµÛ¦Wªº Bernoulli distribution ©M ¤@¨Ç¦­´Áªº±Æ¦C²Õ¦Xªº²z½× ¡C¦Ó¦b 1689¦~¡A¥L´£¥X¤F¤j¼Æªk«hªºÆ[©À¡C

55. Bernoulli Equation: History Of Daniel Bernoulli And His Equation This is an elementary derivation of bernoulli s equation by the method of Johannes, jacob, and, to a lesser extent, Nicolaus led the development of http://www.fluidmech.net/tutorials/bernoulli/bernoulli-history.htm

Fluid Mechanics My Homepage My Gallery Navier-Stokes.Net Cambridge University Press ... Contact Index FluidMech.Net About This Site Our Sponsor What's New? Tutorials Introduction Aurora Bernoulli Eqn Approach ... Water Waves Calculators Introduction Engr Fluid Mech Waves Phys. Properties Links My Homepage My Gallery Navier-Stokes.Net Daniel Bernoulli Bernoulli Equation Historical Remarks on Bernoulli and His Equation Here you will find a few historical remarks on Daniel Bernoulli and the equation which carries his name. Because the Bernoulli family is important and interesting in its own right I'll first give a short discussion of Daniel's heritage. I'll then provide some biographical information on Daniel Bernoulli himself followed by a discussion of his equation. Bernoulli, the Family The Bernoulli family is renowned for having produced several generations of mathematicians of historical importance as well as being partly responsible for the rapid spread and development of Leibniz's calculus in the eighteenth century. Although the Bernoullis moved throughout Europe during their careers, they were based in Basel, Switzerland. The family arrived there in the late 1500s after fleeing religious persecution in Belgium. Upon arrival in Basel, Daniel Bernoulli's ancestors married into the wealthiest families and prospered for generations in business. The beginning of the mathematical dynasty began with the generation of Daniel's father Johannes (John) I, (1667-1748) and uncles Jacob (Jean) I (1654-1705) and Nicolaus I (1662-1716). Johannes, Jacob, and, to a lesser extent, Nicolaus led the development of calculus and the calculus of variations in those early years of the field. Daniel Bernoulli's father, uncles, brothers, nephews, and cousins are also credited with important contributions to mechanics, probability, and analytic geometry.

56. UB Basel: Bernoulli-Edition Translate this page aller gedruckten Werke der Mathematiker bernoulli und jacob Hermanns grosser Teil der Arbeiten der bernoulli und jacob Hermanns veröffentlicht wurde 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

57. UB Basel: Bernoulli-Edition Translate this page Für die Korrespondenzen der bernoulli und jacob Hermanns mit Euler können folgendeBände Beispiel Ich suche den Briefwechsel von jacob I bernoulli 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. 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.

59. Biografi: Jacob Bernoulli Faren til jacob bernoulli, Nicolaus bernoulli var en betydningsfull borger av Basel, Moren til jacob bernoulli kom fra en betydningsfull familie i Basel http://www.matematikk.org/artikkel/vis.php?id=838

60. Biography Of Leonard Euler Euler obeyed his father’s wishes by studying theology and taking weekly mathematicslessons from Johann bernoulli, jacob’s younger brother. http://tiger.towson.edu/~gstiff1/eulerbio.htm

Greg Stiffler's Online Teaching Portfolio Standards Inspiration Technology Overview Learning Theory Home ... Updates Biography of Leonard Euler Humble Beginnings St. Petersburg Berlin Academy Back to Russia: The Most Prolific Period ... Works Cited Leonard Euler was one of history’s most prolific mathematicians. Born on April 15, 1707 in Basel, Switzerland, Euler was the first of six children. His father was a Protestant priest, and expected Euler to follow in his footsteps. His father had also studied mathematics under the tutelage of Jacob Bernoulli, and he wanted his son to do the same. Euler obeyed his father’s wishes by studying theology and taking weekly mathematics lessons from Johann Bernoulli, Jacob’s younger brother. Gifted with a brilliant mind at an early age, he received his master’s degree at the age of 16 from the University of Basel. Witnessing this accomplishment, the Bernoulli’s suggested he pursue a mathematics career, which met with much resistance from Euler’s father. His love of math eventually won out, and Euler decided to pursue mathematics and put the ministry aside (“Euler,” Notable Mathematicians His mathematical contributions came later in life, and helped advance the field of calculus, trigonometry, and even topology.

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