21. Biography Of Rafael Bombelli Biography. http://nsm1.nsm.iup.edu/gsstoudt/history/bombelli/bombbio.html

22. Rafael Bombelli Start the rafael bombelli article. Search for rafael bombelli in other articles.Look for rafael bombelli in Wiktionary, our sister dictionary project. http://www.algebra.com/algebra/about/history/Rafael_Bombelli.wikipedia

Rafael Bombelli Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over $115,000 has been donated since the drive began on 19 August. Thank you for your generosity! Rafael Bombelli Wikipedia does not have an article with this exact name. Start the Rafael Bombelli article Search for Rafael Bombelli in other articles. Look for Rafael Bombelli in Wiktionary, our sister dictionary project. Look for Rafael Bombelli in the Commons, our repository for free images, music, sound, and video. Look for pages linking to this page If you have created this page in the past few minutes and it has not yet appeared, it may not be visible due to a delay in updating the database. Try purge , otherwise please wait and check again later before attempting to recreate the page. If you created an article under this title previously, it may have been deleted. See candidates for speedy deletion for possible reasons. Retrieved from " http://en.wikipedia.org/wiki/Rafael_Bombelli

23. Sources In The History Of Algebra bombelli, rafael (1556), Algebra. Archiginnasio Library, Bologna, Codex B. 1569 . bombelli, rafael (1572), L algebra parte maggiore dell arimetica http://logica.ugent.be/albrecht/math.php

Home Logic Math Publications Shogi Sites About Me Sources in the history of algebra before 1600 A comprehensive database of problems is in progress. The current sources are listed below. The database currently contains 190 manuscripts, books, and reprints, and 564 problems. [EDITIONS] gives an expanded list of (all) editions and translations. [CONSPECTUS] gives an overview of some selected problems in PDF format. [IMAGE] If this work in some edition is available in digital form. [N PROBLEMS] gives the original text and a mathematical description of all problems in this work. If you find errors or additions, please send me a mail Brahmagupta, (628) Bráhma-sphuta-siddhânta Alcuin, (800) Propositiones alcuini doctoris caroli magni imperatoris ad acuendos juvenes CONSPECTUS Mahâvirâ, (850) Ganita-sâra-samgraha Kitab al-Jabr wal-Muqabala Alkarkhî, Aboû Beqr Mohammed (1010) Kitâb al-Fakhr . Supp. Arabe de la Bibliothèque Impériale, MS 952, Paris. Bhaskara II, (1150) Bijaganita . Edinburgh Univ. Library, Or MS. 500. Bhaskara II, (1150)

24. The Galileo Project SA Jayawardene, Unpublished Documents Relating to rafael bombelli in the Archivesof Bologna in Isis, 54 (1963), pp.391395 Jayawardene, rafael bombelli, http://galileo.rice.edu/Catalog/NewFiles/bombelli.html

Bombelli, Rafael 1. Dates Born: Bologna, January, 1526 Died: Rome?, 1572 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Merchant Antonio Bombelli was a wool merchant. Fantuzzi says that Bombelli was born to a noble family, but I think that is just conventional talk. None of the other sources bear that out. No information on financial status. 3. Nationality Birth: Bologna, Italy Career: Italy Death: Rome? Italy 4. Education Schooling: No University All that is known about Bomelli's education is that his teacher was Pier Francesco Clementi of Corinaldo, an engineer-architect, who drained swamps. 5. Religion Affiliation: Catholic 6. Scientific Disciplines Primary: Mathematics Bombelli was the last of the algebraists of Renaissance Italy. His only published work, Algebra, gave a comprehensive account of the existing knowledge of the subject, enriching it with Bombelli's own contributions. The influence that his Algebra had in the Low Countries was great. Leibniz called him an "outstanding master of the analytical art." Bombelli worked at reclaiming land and at least one other engineering task, but there is nothing to indicate that he furthered the sciences of hydraulics and engineering.

25. Joseffy, Rafael --  Britannica Student Encyclopedia rafael bombelli University of St Andrews, Scotland Biography of this Italybornmathematician noted for his contributions in algebra. http://www.britannica.com/ebi/article-9327761

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Rafael Joseffy 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 Joseffy, Rafael  Student Encyclopedia Article Page 1 of 1 Rafael Joseffy Joseffy, Rafael... (75 of 198 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Joseffy, Rafael." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9327761

26. Alberti, Rafael --  Encyclopædia Britannica Alberti, rafael Spanish poet and playwright (b. Dec. 16, 1902, Puerto de SantaMaría, Spain—d. rafael bombelli University of St Andrews, Scotland http://www.britannica.com/eb/article?tocId=9342208

27. Fibonacci - Rafael Bombelli rafael bombelli da Bologna, divisa in tre libri. Bologna,1579 (2. Auflage). rafael bombelli wurde im Jahr 1526 in Bologna geboren. http://www.ethbib.ethz.ch/exhibit/fibonacci/fibonacci-03-Bombelli.html

back index next L'algebra, opera di Rafael Bombelli da Bologna, divisa in tre libri. Bologna, 1579 (2. Auflage). Signatur: 72517

28. Gale-Edit - Dictionary Of Science Biography - Scientists By Name Oskar; Bolzano, Bernard; bombelli, rafael; Bonaparte, Lucien Jules Laurent;Bonaventura, Federigo; Boncompagni, Baldassarre; Bond, George Phillips http://www.gale-edit.com/ndsb/scientists.htm

Home Suggestions for Inclusion Editorial Board About Charles Scribner's Sons ... Z A Abailard, Pierre Abano, Pietro Abano, Pietro d' 'Abbas Ibn Firnas Abbe, Cleveland Abbe, Ernst Abel, John Jacob Abel, Niels Henrik Abel, Othenio Abetti, Antonio Abich, Otto Hermann Wilhelm Abney, William de Wiveleslie Abraham Bar Hiyya Ha-Nasi Abraham, Max Abreu, Aleixo Abreu, Aleixo de Abu Hamid al-Gharnati Abu Kamil Shuja' Ibn Aslam Ibn Muhammad Ibn Shuja' Abu Ma'shar al-Balkhi, Ja'far Ibn Muhammad Abu'l-Barakat al-Baghdadi, Hibat Allah Abu'l-Fida' Isma'il Ibn 'Ali Ibn Mahmud Ibn . . . Ayyub, 'Imad al-Din Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad ~Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Accum, Friedrich Christian Achard, Franz Karl Acharius, Erik Achillini, Alessandro Acosta, Cristobal Acosta, Jose Acosta, Jose de Acyuta Pisarati Adam of Bodenstein Adams, Frank Dawson Adams, John Couch Adams, Leason Heberling Adams, Roger Adams, Walter Sydney Adanson, Michel Addison, Thomas Adelard of Bath Adet, Pierre-Auguste

29. Complex Numbers 1572 Information From Answers.comThe Algebra of rafael bombelli b. Bologna (Italy), January 1526, d. 1572 showsthe first application of complex numbers to solve equations, http://www.und.edu/instruct/lgeller/complex.html

Complex Numbers The usual definition of complex numbers is all numbers of the form a+b i , where a and b are real numbers and i , the imaginary unit, is a number such that its square is -1. This gives no insight to where these came from nor why they were invented. In fact, the evolution of these numbers took about three hundred years. In 1545 Jerome Cardan , an Italian mathematician, physician, gambler, and philosopher published a book called Ars Magna The Great Art ). In this he described an algebraic procedure for solving cubic and quartic equations. He also proposed a problem that dealt more with quadratics. He wrote: If some one says to you, divide 10 into two parts, one of which multiplied into the other shall produce...40, it is evident that this case or question is impossible. Nevertheless, we shall solve it in this fashion. Cardan essentially applied the method of completing the square to x + y = 10 and xy = 40 (x - 10x + 40 = 0) to get the numbers, He multiplied these numbers and got 40. After that, he didn't do much else with this and concluded that the result was "as subtle as it is useless." Complex numbers did not come about from this example, but in connection with the solution to cubic equations.

30. 1613: Information From Answers.com Continued fractions, however, had previously been used by Indian mathematiciansand by rafael bombelli. Continued fractions are those whose denominators http://www.answers.com/topic/1613

showHide_TellMeAbout2('false'); Arts Business Entertainment Games ... More... On this page: US Literature Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping In the year Astronomy Galileo's The Sunspot Letters reports on his observations of sunspots. It is his first printed statement favoring the Copernican system, and it contains his first formulation of the principle of inertia. See also 1350 Physics Biology Hortus eychstettensis ("the garden of Eichstatt") by German pharmacist Basilius Besler [b. 1561, d. 1629], based on the gardens of the Prince Bishop of Eichstatt in Bavaria (Germany), is an important work in plant illustration. Mathematics Pietro Cataldi's mathematics in Trattato del modo brevissimo di trovar la radice quadra delli numeri ("treatise on a short way to find the square roots of numbers") introduces more extensive use of continued fractions to Europe. Continued fractions, however, had previously been used by Indian mathematicians and by Rafael Bombelli. Continued fractions are those whose denominators contain fractions that also contain fractions in the denominator and so on for an infinite progression of fractions in the denominator. They are a convenient form for expressing many problems involving limits. See also 1572 Mathematics American Literature Sermons and Religious Writing Samuel Purchas (c. 1575-1626)

31. Galileo Project Scientists: http//es.rice.edu/ES/humsoc/Galileo/Catalog/Files/bohn.html. bombelli, rafael.http//es.rice.edu/ES/humsoc/Galileo/Catalog/Files/bombelli.html http://www.tektonics.org/scim/galilmony.html

Scientists of the Christian Faith: From the Era of Galileo The Galileo Project is a hypertext source of information on the life and work of Galileo Galilei (1564-1642) and the science of his time. The project, whose homepage is here: http://es.rice.edu/ES/humsoc/Galileo/ , is supported by the Office of the Vice President of Computing of Rice University. The initial stages were made possible by a grant from the Council on Library Resources to Fondren Library. Contributors to the Project are noted here: http://es.rice.edu/ES/humsoc/Galileo/About/galileo_development.html Albert Van Helden, Lynette Autrey Professor of History at Rice University, is responsible for the written text in the Project (except where otherwise noted). The Project features a Catalog of the Scientific Community of the 16th and 17th Centuries at http://es.rice.edu/ES/humsoc/Galileo/Catalog/catalog.html This is a searchable database of detailed histories of over 600 individuals who made significant contributions to Western science. These histories have been compiled by Richard S. Westfall, Department of History and Philosophy of Science at Indiana University. From this I’ve compiled a list of 522 Galileo-era scientists known to be Christians, with links to biographies from the Galileo Project.

32. Rafael Bombelli Université Montpellier II Translate this page rafael bombelli (1526-1572). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=859

33. Continued Fractions - History Two men from the city of Bologna, Italy, rafael bombelli (bc1530) and PietroCataldi (15481626) also contributed to this field, albeit providing more http://archives.math.utk.edu/articles/atuyl/confrac/history.html

To do mathematics, that is, in order to understand and to make contributions to this discipline, it is necessary to study its history. Mathematics is constantly building upon past discoveries. Those who wish to study a particular field of mathematics, whether it be statistics, abstract algebra, or continued fractions, will first need to study their field's past. In doing so, one is able to build upon past accomplishments rather than repeating them. The origin of continued fractions is hard to pinpoint. This is due to the fact that we can find examples of these fractions throughout mathematics in the last 2000 years, but its true foundations were not laid until the late 1600's, early 1700's. The origin of continued fractions is traditionally placed at the time of the creation of Euclid's Algorithm Euclid's Algorithm, however, is used to find the greatest common denominator (gcd) of two numbers. However, by algebraically manipulating the algorithm, one can derive the simple continued fraction of the rational p/q as opposed to the gcd of p and q. (To see this, check out Theorem 1 .) It is doubtful whether Euclid or his predecessors actually used this algorithm in such a manner. But due to its close relationship to continued fraction, the creation of Euclid's Algorithm signifies the initial development of continued fractions.

34. Histoire36 Translate this page rafael bombelli, né à Bologne en janvier 1526 ne reçut aucune éducation universitaire.Il fût l’élève d’un ingénieur. Architecte Pier Francesco Clémenti, http://maurice.bichaoui.free.fr/Histoire36.htm

Rafaello Bombelli (Italien,1526-1573) Rafael Bombelli, né à Bologne en janvier ne reçut aucune éducation universitaire. Il fût l’élève d’un ingénieur. Architecte Pier Francesco Clémenti, aussi ce n’est peut-être pas étonnant que Rafael en fasse sa passion. Bombelli devint ingénieur et ses nombreux projets furent mis en valeur. Il a travaillé de nombreuses années pour Alessandro Rufini (dernier évêque de Melfi). En , la réparation du pont de Santa Maria à Rome fût un échec. Bombelli fût le premier à additionner et multiplier les nombres complexes. Il démontra, en utilisant ses méthodes, que des solutions réelles aux équations du 3° degré auraient pu être obtenues à partir de la formule de Cardan même lorsque la formule donne une expression qui associe les racines carrées imaginaires des nombres négatifs. En Bombelli écrivit sa seule publication: « Algébra Algébra » ne fût publié qu’à partir de Son livre a permis l’expansion de l’algèbre vers l’univers des nombres complexes. Malgré le retard dans sa publication, son livre eut une véritable influence. Bombelli mourut probablement à Rome en Retour xt MT; font-size: 14 pt">Retour

35. La Radice Quadrata Translate this page I consigli di rafael bombelli. I consigli di Enrico Delfini. Sorpresina! Digita unnumero nella casella e rafael bombelli, Opera su Algebra, 1550. http://utenti.quipo.it/base5/numeri/radiquad.htm

HOME - BASE Cinque Appunti di Matematica ricreativa La radice quadrata Rilassatevi, questo algoritmo è una ciliegina! La stima iniziale L'algoritmo Un altro esempio Spiegazione dell'algoritmo ... I consigli di Enrico Delfini Sorpresina! Digita un numero nella casella e clicca sul pulsante. Leggi qui il risultato. Esiste un metodo semplice per calcolare "a mano" la radice quadrata di un numero? Ne esistono diversi, ma non si può dire che siano semplicissimi. Il procedimento che viene ancora oggi insegnato nella scuola media è lo stesso che Rafael Bombelli presentò nella sua Opera su Algebra del 1550. Questo algoritmo è difficile da ricordare soprattutto se viene imparato meccanicamente, senza capirne le motivazioni. Gli strumenti per capirlo si acquisiscono nel primo anno della scuola superiore, con lo studio del calcolo letterale e dei cosiddetti prodotti notevoli. Gli antichi hanno faticato a lungo per costruire le tavole delle radici quadrate e i moderni hanno inventato le calcolatrici tascabili. Se il vostro obiettivo è risolvere dei problemi allora è meglio utilizzare le tavole o la calcolatrice.

36. Summary Cubics In The Math History The Earliest Found Information was studied in detail by rafael bombelli in 1572 in his work Algebra .rafael bombelli (15261573) published in his book Algebra 1572 a way of http://hem.passagen.se/ceem/summary.htm

Summary Cubics in the math history The earliest found information about computing cubic roots and solution of cubic equations is found among the Babylonians (about 2000 - 400 BC). Hindu mathematicians took the Babylonian methods further so that Brahmagupta (598-665 AD) gives an, almost modern, method which admits negative quantities. Numerical values of cubic roots were computed by Aryabhata (476 -c. 550 BC) In about 300 BC Euclid developed a geometrical approach The solution of numerical higher equations for approximate values of roots has been known for a long time in China . It has been called the most characteristic Chinese mathematical contribution. The essentials of the method are there around c. 100 BC - 50 CE. By using the method for finding the cube root of a number they were able to solve a cubic equation of the form x + ax + bx = c , where a, b and c are positive. The Arabs did not know about the advances the Hindus had made so they had neither negative quantities nor abbreviations for their unknowns. However al'Khwarizmi (c 800) gave a classification of different types of equations.

37. Untitled Document rafael bombelli ne reçoit aucune instruction universitaire et ildevient ingénieur suite à l enseignement en architecture de Francesco Clementi http://www.cerimes.fr/e_doc/nombre/bombel.htm

Rafael Bombelli Ars Magna de Cardan. Mais l'

38. WebQuest:  Algebra Adventures In The Middle Ages LUDOVICO FERRARI rafael bombelli. FRANCOIS VIETE. Back to top. CLICK HERE TO GOTO YOUR LIST OF RESOURCES RUBRICS. This project is worth 120 points. http://michelle_sinclair.tripod.com/mes.htm

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Dukes of Hazzard Share This Page Report Abuse Edit your Site ... Next by Michelle Sinclair cLICK HERE TO e-MAIL ME back to index page INTRODUCTION tASK ... NOTES TO TEACHER (INCLUDES STANDARDS) Introduction The year is 3003. You have been selected by the government to be a part of a team of researchers to time travel to the past and study the beginnings of modern math. The time period of focus starts with the middle ages and continues through the Renaissance. This was the age of discovery complete with the growth of universities and the leadership of both a Pope and an Emperor. TASK Your team will be assigned a certain mathematician as your subject of research. Each team member with have tasks to fulfill and information to retrieve. Your results when you return will be presented to an audience of your peers and evaluated by them. The central question of your presentation is "How does this mathematician's algebra compare to our prior algebra studies?" Your team will also compile a portfolio to present your findings. Let's get started. Back to top PROCESS Each member of the team will play a different role. You select amongst yourselves to be a Mathematician, a Historian or a Teacher.

39. WebQuest:  Resources http//wwwgap.dcs.st-and.ac.uk/~history/Mathematicians/Cardan.html. rafael bombelli.http//www-gap.dcs.st-and.ac.uk/~history/Mathematicians/bombelli.html http://michelle_sinclair.tripod.com/resources.htm

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Dukes of Hazzard Share This Page Report Abuse Edit your Site ... Back to WebQuest (The teacher is not responsible for any inappropriate material the student may find on the internet while researching for this project) MacTutor History of Mathematics Archive http://www-groups.dcs.st-and.ac.uk/~history/index.html Mathematicians in Richard S. Westfall's Archive http://www-groups.dcs.st-and.ac.uk/~history/External/Westfall_list.html Who was Fibonacci? http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibBio.html Leonardo Pisano Fibonacci http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Fibonacci.html Jordanus Nemorarius http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Jordanus.html Nicole of Oresme http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Oresme.html Regiomontanus http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Regiomontanus.html Ludovico Ferrari http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Ferrari.html

40. KYMAA Newsletter, March 1996 rafael bombelli of Bologna Renaissance Algebraist by Daniel J. Curtin, NorthernKentucky University. Following the work of Tartaglia, http://web.centre.edu/mat/kymaa/past/1996S.html

Kentucky Section Newsletter Spring Issue March, 1996 Please allow this entire file to load into your Web-browser to avoid errors. Table of Contents From the Chair ANNUAL MEETING KY SECTION MAA MEETING FACULTY REGISTRATION FORM KY SECTION MAA MEETING STUDENT REGISTRATION FORM ... KENTUCKY SECTION OFFICERS 1995-96 From the Chair Murray Meeting Our annual meeting is March 29-30, at Murray State University. Even if you have not yet registered to attend the meeting, it is not too late. Reading the enclosed meeting program should persuade you that the event will be lively, interesting, and entertaining. Another valuable dimension of meetings is to renew contact with colleagues and meet new ones. Invite a colleague who hasn't been attending our meetings. Invite a student. Are You Giving Us a Line? The context here is "on line," and the answer is Yes. KYMAA now has a presence on the World Wide Web, due to the efforts of Webmeister Lyn Miller (WKU). The page eagerly awaits your perusal. The URL is: http://www4.wku.edu/~miller/KYMAA.homepage.html

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 90    Back | 1  | 2  | 3  | 4  | 5  | Next 20