21. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï bernoulli johann, Johann BernoulliBorn 27 July 1667 in Basel, Switzerland Died 1 Jan 1748 in Basel, Switzerland http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=B

22. Encyclopedia: Series (mathematics) Johann bernoulli johann Bernoulli (Basel, July 27, 1667 January 1, 1748) wasa Swiss mathematician. Fran§ois Vi¨te. Joseph Louis Lagrange Joseph http://www.nationmaster.com/encyclopedia/Series-(mathematics)

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Series (mathematics)" also viewed: Sequence Lambert's W function Ordinal Ordinal number ... Maclaurin series What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Zvonimir Boban Zork I Zimbabwe York Road tube station ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Series (mathematics) Updated 36 days 22 hours 32 minutes ago. Other descriptions of Series (mathematics) In mathematics , a series is the sum of a sequence of terms . That is, a series is a list of numbers with addition operations between them, e.g, Mathematics is the study of quantity, structure, space and change. ... Addition is one of the basic operations of arithmetic. ... This is a page about mathematics. ... In elementary mathematics, a term is either a single number or variable, or the product of several numbers and/or variables. ... which may or may not be meaningful. In most cases of interest the terms of the sequence are produced according to a certain rule, e.g., by a formula , by an algorithm , by a sequence of measurements , or even by a random number generator In mathematics and in the sciences, a formula is a concise way of expressing information symbolically (as in a mathematical or chemical formula), or a general relationship between quantities. ...

23. Johann Bernoulli - Wikipedia Translate this page Johann Bernoulli. Johann Bernoulli (* 6. August (27. Juli a.St.) 1667 in Basel, † 1 . Literatur von und über Johann Bernoulli im Katalog der DDB http://de.wikipedia.org/wiki/Johann_Bernoulli

Wikimedia braucht Ihre Hilfe Helfen Sie uns, 200.000$ zu sammeln, damit Wikipedia und ihre Schwesterprojekte auch weiterhin kostenlos und werbefrei der Allgemeinheit zur Verf¼gung stehen. Weitere Informationen auf unserer Spenden-Seite Johann Bernoulli aus Wikipedia, der freien Enzyklop¤die Johann Bernoulli Johann Bernoulli 6. August (27. Juli a.St.) in Basel 1. Januar in Basel) war ein schweizerischer Mathematiker , aus einer verzweigten Gelehrtenfamilie; er ist der Bruder von Jakob I. Bernoulli und der Vater von Daniel Bernoulli Er arbeitete in Genf Paris Groningen und Basel , seiner Heimatstadt. Seine Arbeitsgebiete umfassten Reihen Differentialgleichungen , Kurven aus Sicht von geometrischen und mechanischen Fragestellungen und Brachistochrone sowie weiteres. Siehe auch: Bernoulli Bearbeiten Weblinks Literatur von und ¼ber Johann Bernoulli im Katalog der DDB Eintrag im Mathematikerstammbaum Personendaten NAME Bernoulli, Johann ALTERNATIVNAMEN KURZBESCHREIBUNG schweizerischer Mathematiker GEBURTSDATUM 6. August GEBURTSORT Basel STERBEDATUM 1. Januar

24. 10.3. Bernoulli, Johan (1667-1748) Pioneers in the field of calculus, appied the new tool to real problems, life was one of the most controversial of any mathematician, member of the world's most successful mathematical family, also known as Johannes, Jean or John. http://www.shu.edu/projects/reals/history/bernoull.html

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

25. Johann Bernoulli - Johann Bernoulli Leben und mathematisches Wirken von johann bernoulli. http://www.bernoulli.ag.vu/

Johann Bernoulli Johann Bernoulli wurde am 27.Juli 1667 in Basel geboren. Sein Vater Nikolaus I. Bernoulli war Gewürzhändler und Ratsherr und verheiratet mit Margaretha geb. Schönawer. Bereits mit 15 Jahren begann er ein Studium der Medizin an der Basler Universität. Nebenher ließ er sich von seinem älteren Bruder Jakob in die Geheimnisse der Mathematik einweihen.1694 promovierte Johann Bernoulli zum Doktor der Medizin an der Universität zu Basel. Kurz danach heiratete er seine Verlobte Dorothe Falkner, die aus einer der angesehensten Familien Basels stammte. Johann Bernoullis mathematischer Werdegang begann mit dem gemeinsamen Studium von Leibniz Differenzialrechnung. So beschäftigten sich die beiden Brüder mit dem von Leibniz 1686 gestellten Problem der Isochrone und der Frage nach der Gestalt der Kettenlinie, d.h. der Gestalt der Kurve, die eine gleichmäßig schwere Kette bildet, die an beiden Enden in gleicher Höhe aufgehängt wird. Galilei vermutete als Form fälschlicherweise eine Parabel. Leibniz löste die Aufgabe zuerst. Ließ aber den anderen Mathematikern noch Zeit, selbst eine Lösung zu finden, bevor er seine veröffentlichte. Tatsächlich gelang es Johann eine weitere Lösung in dieser Zeit zu finden und damit seinem Bruder Jakob zuvorzukommen. Im Oktober 1690 reiste Johann von Basel nach Genf, wo er die Bekanntschaft mit einigen Gelehrten machte. Im darauffolgenden September zog es Johann dann nach Paris. Dort macht er die Bekanntschaft des Marquis de l'Hopital, der mit Johann ein Abkommen schloß, daß

26. Bernoulli_Johann Biography of johann bernoulli (16671748) johann bernoulli was the tenthchild of Nicolaus and Margaretha bernoulli. He was the brother of Jacob http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Johann.html

Johann Bernoulli Born: 27 July 1667 in Basel, Switzerland Died: 1 Jan 1748 in Basel, Switzerland Click the picture above to see seven larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Johann Bernoulli was the tenth child of Nicolaus and Margaretha Bernoulli. He was the brother of Jacob Bernoulli but Johann was twelve years younger than his brother Jacob which meant that Jacob was already a young man while Johann was still a child. The two brothers were to have an important influence on each others mathematical development and it was particularly true that in his early years Johann must have been greatly influenced by seeing Jacob head towards a mathematical career despite the objections of his parents. As to his education as a child, Johann wrote in his autobiography that his parents:- ... spared no trouble or expense to give me a proper education in both morals and religion. This religion was the Calvinist faith which had forced his grandparents to flee from Antwerp to avoid religious persecution. Nicolaus and Margaretha Bernoulli tried to set Johann on the road to a business career but, despite his father's strong pushing, Johann seemed to be totally unsuited to a future in business. Johann's father had intended him to take over the family spice business and in 1682, when he was 15 years old, Johann worked in the spice trade for a year but, not liking the work, he did not do well. It was with great reluctance that Johann's father agreed in 1683 to Johann entering the University of Basel. The subject that Johann Bernoulli was to study at university was medicine, a topic that many members of the Bernoulli family ended up studying despite their liking for mathematics and mathematical physics.

27. Bernoulli_Johann(III) Biography of johann(III) bernoulli (17441807) johann(III) bernoulli wrotea number of works on astronomy, reporting on astronomical observations and http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bernoulli_Johann(III)

Johann(III) Bernoulli Born: 4 Nov 1744 in Basel, Switzerland Died: 13 July 1807 in Berlin, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Johann(III) Bernoulli was a son of Johann(II) Bernoulli . He was certainly considered a prodigy when a child with an encyclopedic knowledge and, like many other members of his extraordinarily talented family, he studied law and took an interest in mathematics. At the early age of fourteen he graduated with the degree of master of law. He was appointed to a chair at Berlin Academy at the age of only 19. Frederick II asked him to revive the astronomical observatory of the Academy but this was not a task for which Johann(III) was particularly well suited. His health had never been particularly good and his qualities as an astronomical observer were relatively poor. Johann(III) Bernoulli wrote a number of works on astronomy, reporting on astronomical observations and calculations, but these are of little importance. Strangely his most important contributions were the accounts of his travels in Germany which were to have a historical impact. In the field of mathematics he worked on probability , recurring decimals and the theory of equations. As in his astronomical work there was little of lasting importance. He did, however, publish the

28. Bernoulli, Johann (1667-1748) -- From Eric Weisstein's World Of Scientific Biogr With his brother Jakob, johann bernoulli is considered the most important founderof calculus johann bernoulli proposed the brachistochrone problem, http://scienceworld.wolfram.com/biography/BernoulliJohann.html

Branch of Science Mathematicians Nationality Swiss ... Scientific Families Bernoulli, Johann (1667-1748) Swiss mathematician (also known as Jean I or John I) who was the father of Daniel Bernoulli ) and brother of Jakob Bernoulli . With his brother Jakob , Johann Bernoulli is considered the most important founder of calculus (with the exception of Newton and Leibniz ). Nonetheless, Johann and Jakob two had bitter arguments about the quality of each other's work. Johann instructed l'Hospital , who later incorporated one of his Johann's results in a textbook he wrote, so that it has come to be known as l'Hospital's rule Johann filled the mathematics chair at Basel left vacant by his brother's death. He drove his son Daniel away from home after he won a prize of the Paris Academy of Sciences for which Johann had competed. Johann Bernoulli proposed the brachistochrone problem which asks what shape a wire must be for a bead to slide from one end to the other in the shortest possible time, as a challenge to other mathematicians in June 1696. For this, he is regarded as one of the founders of the calculus of variations The brachistochrone problem was solved by himself

29. Bernoulli, Jakob (1654-1705) -- From Eric Weisstein's World Of Scientific Biogra Swiss mathematician (aka Jacque I or James I) brother of johann bernoulli. they are considered the most important founder of Calculus with the exception of Newton, the two had bitter arguments about the quality of each other's work. http://www.treasure-troves.com/bios/BernoulliJakob.html

Branch of Science Mathematicians Nationality Swiss ... Scientific Families Bernoulli, Jakob (1654-1705) 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 (Smith 1994, p. 85). In a paper of sums, he remarks how useless Bullialdus's voluminous work Opus novum ad arithmeticum infinitorum (1682) was, which "did nothing more that compute with immense labor the sums of the first six powers, which is only a part of what we have accomplished in the space of a single page" (Smith 1994, p. 90). Ars conjectandi was also the first substantial treatise on probability It contained the general theory of permutation and combination the weak law of large numbers as well as the binomial theorem (for which the first adequate proof for positive integers was given) and multinomial theorem He solved the Bernoulli differential equation independently of Leibniz and Johann Bernoulli . The lemniscate of Bernoulli, described by the polar equation

30. Bernoulli, Jakob (1654-1705) -- From Eric Weisstein's World Of Scientific Biogra independently of Leibniz and johann bernoulli. The lemniscate of bernoulli,described by the polar equation. is named after him. http://scienceworld.wolfram.com/biography/BernoulliJakob.html

Branch of Science Mathematicians Nationality Swiss ... Scientific Families Bernoulli, Jakob (1654-1705) 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 (Smith 1994, p. 85). In a paper of sums, he remarks how useless Bullialdus's voluminous work Opus novum ad arithmeticum infinitorum (1682) was, which "did nothing more that compute with immense labor the sums of the first six powers, which is only a part of what we have accomplished in the space of a single page" (Smith 1994, p. 90). Ars conjectandi was also the first substantial treatise on probability It contained the general theory of permutation and combination the weak law of large numbers as well as the binomial theorem (for which the first adequate proof for positive integers was given) and multinomial theorem He solved the Bernoulli differential equation independently of Leibniz and Johann Bernoulli . The lemniscate of Bernoulli, described by the polar equation

31. Johann Bernoulli Berühmte Mathematiker johann bernoulli. johann bernoulli was the tenth childof Nicolaus and Margaretha bernoulli. He was the brother of Jacob http://www.mathematik.ch/mathematiker/johann_bernoulli.php

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

32. Bernoulli, Johann --  Encyclopædia Britannica bernoulli, johann major member of the bernoulli family of Swiss mathematicians.He investigated the then new mathematical calculus, which he applied to the http://www.britannica.com/eb/article-9078865

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Johann Bernoulli Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Bernoulli, Johann  Encyclopædia Britannica Article Page 1 of 1 Johann Bernoulli 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. Bernoulli, Johann...

33. Johann Bernoulli: Biography And Much More From Answers.com bernoulli, Jean b. Basel, Switzerland, August 6, 1667, d. Basel, January 1,1748 Jean became a rival of his brother Jacques, especially since they. http://www.answers.com/topic/johann-bernoulli-1

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Scientist WordNet Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Johann Bernoulli Scientist Bernoulli, Jean [b. Basel, Switzerland, August 6, 1667, d. Basel, January 1, 1748] Jean became a rival of his brother Jacques, especially since they worked on many of the same problems in the newly invented calculus. Jean is usually credited with inventing the calculus of variations, the technique for finding a function that produces a maximum or minimum. WordNet Note: click on a word meaning below to see its connections and related words. The noun Jean Bernoulli has one meaning: Meaning #1 Swiss mathematician (1667-1748) Synonyms: Bernoulli Johann Bernoulli John Bernoulli Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Johann Bernoulli Johann Bernoulli Johann Bernoulli Basel July 27 January 1 ) was a Swiss mathematician . He was the brother of Jakob Bernoulli , and the father of Daniel Bernoulli and Nicolaus II Bernoulli . He is also known as Jean or John Bernoulli With his brother, Bernoulli pioneered

34. Bernoulli: Definition And Much More From Answers.com johann s son Daniel (1700–1782) anticipated the law of conservation of his son, johann bernoulli, 1746–1807, who was astronomer royal at Berlin and also http://www.answers.com/topic/bernoulli

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Dictionary Encyclopedia WordNet Misspellings Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Bernoulli Dictionary Ber·noul·li bər-nū lē Family of Swiss mathematicians and scientists, including Jakob or Jacques (1654–1705), an important developer of ordinary calculus and the calculus of variations. His brother Johann or Jean (1667–1748) developed the calculus of variations. Johann's son Daniel (1700–1782) anticipated the law of conservation of energy, did pioneering work in the molecular theory of gases, and contributed to probability theory and the theory of differential equations. Encyclopedia Bernoulli or Bernouilli both: bĕrnūyē ) , 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. 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 calculus of variations , he was the first to use the word integral in solving Leibniz's problem of the isochronous curve. He wrote an important treatise on the theory of probability (1713) and discovered the series of numbers that now bear his name, i.e., the coefficients of the exponential series expansion of

35. Bernoulli,Johann johann bernoulli (16671748) A Swiss mathematician; the father of Daniel bernoulli,and brother of Jakob. He studied the (then new) calculus, http://thesaurus.maths.org/mmkb/entry.html?action=entryByConcept&id=3214&langcod

36. Bernoulli, Johann bernoulli, johann (16671748) He was the father of Daniel bernoulli.johann also contributed to many areas of applied mathematics, including the problem 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.

37. Matematicos Translate this page Jacob bernoulli era hermano de johann bernoulli y tío de Daniel bernoulli.Se graduó con un grado de Teología de Basilea en el año 1676. 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:

38. BERNOULLI, Johann, Opera Omnia, Tam Antea Sparsim Edita, Quam Hactenus Inedita.. 4 vols, 4to (245 x 190 mm), pp iv xxiv 563; ii 620; ii 563; ii 4,including initial blank 5588; with engraved portrait of the author, http://www.polybiblio.com/watbooks/2127.html

W. P. Watson Antiquarian Books BERNOULLI, Johann Opera Omnia, tam antea sparsim edita, quam hactenus inedita... Lausanne and Geneva, M.M. Bousquet, 1742 4 vols, 4to (245 x 190 mm), pp [iv] xxiv 563; [ii] 620; [ii] 563; [ii] [4, including initial blank] 5-588; with engraved portrait of the author, another engraved portrait of Frederick III of Prussia, engraved vignettes on titles, 91 folding engraved plates, and engraved and woodcut headpieces; a few gatherings lightly browned as usual, a very attractive copy in contemporary mottled calf, spines with gilt floral tools and red and green morocco labels, a little rubbed. £3250 First edition, the collected writings, published and previously unpublished, of Johann Bernoulli (1667-1748), who along with his brother Jacob was a major figure in the development of mathematics, particularly calculus and probability theory, in the eighteenth century. 'Both brothers were engrossed in infinitesimal mathematics and were the first to achieve a full understanding of Leibniz' abbreviated presentation differential calculus. The extraordinary solution of the problem of catenaria posed by Jakob Bernoulli was Johann's first independently published work, and placed him in the front rank with Huygens, Leibniz, and Newton... After Newton's death in 1727, Bernoulli was unchallenged as the leading mathematical preceptor to all Europe' (DSB). His contributions to mathematics are so numerous and fundamental that there is no point in enumerating them here. DSB (II, pp. 51-55) gives a thorough survey.

39. BERNOULLI, Johann., Opera Omnia, Tam Antea Sparsim Edita, Quam Hactenus Inedita. Engraved frontis. port. of the author, another of Frederick III of Prussia,engraved vignettes on titles, 91 engraved plates. http://www.polybiblio.com/jahill/HillBibl-Selections146.0.html

Jonathan A. Hill, Bookseller Inc. A Very Handsome Set of His Collected Works BERNOULLI, Johann. Opera Omnia, tam antea sparsim edita, quam hactenus inedita. This item is listed on Bibliopoly by Jonathan A. Hill, Bookseller Inc. ; click here for further details.

40. Bernoulli, Johann Université Montpellier II (16541705) bernoulli, johann Besicovitch, AS Blake Blake Bohr, bernoulli, johann But just as much as it is easy to find the ( ) http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=2321

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