Historia Del álgebra Translate this page Jhon Widmann 1849.- idea los signos + y - . christoff rudolff 1525.- comienzaa usar el signo radical. Robert Recorde 1557.- introduce el signo =. http://www.mate.com.mx/proyectos/histalgebra0002.htm
Extractions: Profr. Francisco José Vara Trujillo Inicio Mapas conceptuales Historia del álgebra Comentarios: franciscovara@mate.com.mx Historia del Álgebra. Investigación realizada por los alumnos: Benitez Mendoza Omar Jair Davila Sotomayor José Danilo Montes de Oca Gil Mauricio Osorio Lama Victor Sanchez Porras Francisco Javier La evolución ha hecho que el hombre busque métodos y formas de cómo resolver sus problemas. Desde sus orígenes el hombre ha sido poseedor de la razón que lo hace superior a cualquier otra especie. Es el razonamiento el que provoca su desarrollo intelectual que dio origen a distintos lenguajes de los cuales las matemáticas son el más exacto y preciso que ha llegado a desarrollar. Las matemáticas no son más que métodos y formas del razonamiento humano que utilizan la mente del mismo como único campo de experimentación, es esto por lo que se dice que es una ciencia abstracta. El hombre al verse en la necesidad de simplificar y generalizar procedimientos que le permitieran resolver problemas creó el álgebra. Algunas definiciones de álgebra son: Ciencia fundamental de la cantidad y su objeto es la simplificación y generalización de las cuestiones sobre los números, estudia los sistemas de operaciones que deben llevarse a cabo con las cantidades para determinar, por medio de ellas, otras desconocidas. Ciencia cuyo objeto es simplificar y generalizar las cuestiones relativas a los números. Rama de la Matemática con la que se obtienen generalizaciones, métodos y procedimientos matemáticos valiéndose del uso combinado de números, letra y símbolos. Rama de la Matemática que estudia la cantidad considerada del modo más general posible.
Las Matemáticas En El Renacimiento Translate this page Por su parte, el alemán christoff rudolff empleó en 1525 el símbolo actual dela raíz cuadrada, mientras que el bávaro Adam Ries (1492-1559) publicó http://www.satd.uma.es/matap/personal/pablito/Renacimiento.html
Extractions: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/ Aparte de la adopción de los dígitos arábigos y del trabajo de unas pocas personas de talento (como Pappus y Fibonacci ), durante los siglos que prosiguieron a Diophantus no se habían producido avances significativos en Matemáticas. En los siglos XV y XVI tuvo lugar un repentino brote de actividad impulsado por el descubrimiento chino de la imprenta, la cual llegó a Europa en 1450 y propulsó a unas Matemáticas (tanto las puras como las aplicadas) que se habían quedado estancadas en los logros de tiempos ancestrales. Es conveniente recalcar la importancia de la imprenta para la difusión del conocimiento matemático. El copiado a mano de textos matemáticos requería mucho tiempo y esfuerzo. En los tiempos antiguos, de la mayoría de los textos sólo existía una copia única que se encontraba en la biblioteca de Alejandría; ésta es la razón por la cual toda la actividad matemática estuvo concentrada en un solo sitio durante unos ochocientos años. Con la llegada de la imprenta dichos textos pasaron a estar disponibles por todo el mundo civilizado y la gente podía aprender matemáticas en lugares tan distantes como Bohemia o Escocia. En este episodio y en los dos siguientes se van a presentar los avances que se dieron en esta época en las siguientes áreas: notación matemática, teoría de las ecuaciones, descubrimiento de los logaritmos, y mecánica y astronomía.
The Birth Of Algebra for radix). Therefore he writes. In Germany, christoff rudolff (1499 1555) wrote a book in 1525 called simply Coss. The Italian http://cerebro.xu.edu/math/math147/02f/algebra/algebra.html
Extractions: In the year AD 312, on the eve of a battle against would-be rivals for the Roman Imperial throne, Constantine had a dream that instructed him to place the chi rho , the Christian symbol formed by superimposing the first two letters of the Greek name Christos , on the shields of his soldiers. When he won the battle and became Emperor, he issued an edict of tolerance for Christian believers. Later, on his deathbed, Constantine himself became a Christian, placing it in a position of prominence in the Empire from which it would influence the history of the Western world to this day. In 324, Constantine moved the seat of the Empire to the Greek town of Byzantium in the east of the empire, renaming it Constantinople after himself. His was one of the last strong governments of the Roman Empire. The tenuous union of the eastern and western halves of the empire during the fourth century continued to fray, so that by the year 400 it had split in two for good. The Goths entered Rome in 476 , bringing down the Western Empire. This marks the start of the Middle Ages, when Greek culture was effectively cut off from the West. Tribal governments held sway, giving way to feudal society and the slow development over centuries of what would eventually become the familiar nation-states of Europe.
Part II Outline and sixteenth centuries in Europe; examples of this development appear in Francein the work of Nicholas Chuquet, in Germany by christoff rudolff, and in http://cerebro.xu.edu/math/math147/02f/part2/part2.html
Neue Seite 1 Translate this page Rudio, Ferdinand (1856 - 1929). rudolff, christoff (1499 - 1545). Ruffini,Paolo (22.9.1765 - 10.5.1822). Runge, Carl David Tolme (1856 - 1927). http://www.mathe-ecke.de/mathematiker.htm
Extractions: Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843) Aepinus, Franz Ulrich Theodosius (13.12.1724 - 10.8.1802) Agnesi, Maria (1718 - 1799) Ahlfors, Lars (1907 - 1996) Ahmed ibn Yusuf (835 - 912) Ahmes (um 1680 - um 1620 v. Chr.) Aida Yasuaki (1747 - 1817) Aiken, Howard Hathaway (1900 - 1973) Airy, George Biddell (27.7.1801 - 2.1.1892) Aithoff, David (1854 - 1934) Aitken, Alexander (1895 - 1967) Ajima, Chokuyen (1732 - 1798) Akhiezer, Naum Il'ich (1901 - 1980) al'Battani, Abu Allah (um 850 - 929) al'Biruni, Abu Arrayhan (973 - 1048) al'Chaijami (? - 1123) al'Haitam, Abu Ali (965 - 1039) al'Kashi, Ghiyath (1390 - 1450) al'Khwarizmi, Abu Abd-Allah ibn Musa (um 790 - um 850) Albanese, Giacomo (1890 - 1948) Albert von Sachsen (1316 - 8.7.1390)
The Ship Leathley Passenger List 1753 christoffel (X) Termel, Johann Nicklaus Klein. J. christoff (X) Bremer,Caspar Ludewig Sievert. C. rudolff (+) Rechner, Johann Henrich Sievert. http://germanroots.home.att.net/penngermanpioneers/leathley1753.html
Extractions: Johan Henry (+) Hening Christian ( ) Shlemer Andreas (++) Foll Johann Philip Fordenbach Johan Peter (+) Koch Ludewig (X) Shmit J. Wilhelm (X) Voss J. Henry (+) Hinsey J. Diterich (X) Sehr Michael Uhl Christian (+) Shlemer J. Christian (+) Ramberg Christoff (X) Amelon Henry (X) Shroeder Johann Gottfriedt Golde Johann Stats (+) Koch Christophel Schlencker Johannes Christoph Appach Friedrich Wilhm Schlencker Harm. Alleman Frantz Henry (++) Shlencker Johans (X) Heneman Christoffel (X) Termel Johann Nicklaus Klein J. Christoff (X) Bremer
Geschichte_algebra Translate this page Fleiß an. 18. christoff rudolff, geboren um 1500 in Jauer in Schlesien.Er studierte an der Universität Wien. Sehr bekannt wurde http://home.arcor.de/sjschaper/geschi1.htm
1498 A.D. operation in 1514. The first publication with the radical sign init was christoff rudolff s, DieCoss, in 1525. Probably it was http://faculty.oxy.edu/jquinn/home/Math490/Timeline/1498AD.html
Extractions: First Appearance in print of "+" and "-" "Using notation, you can collect ideas and experiences that very moment you realize, 'this is important. I want to remember this ' and you can do this with out sacrificing the flow of the current work." This quote by an unknown person directly addresses the connivance of having standard notation to use in mathematical works. Besides convenience for ones own self, it is crucial to have standard notation in order to effectively and efficiently convey information to others. Amazingly enough, standardization of symbolic notations took around 300-400 years! Just to give you an idea of what was to come in the future of standardization of notations, here were some further developments that came later. He probably wasn't the first, but Vander Hoecke, a Dutch mathematician, used the + and - signs as symbols of algebraic operation in 1514. The first publication with the radical sign in it was Christoff Rudolff's, "DieCoss," in 1525. Probably it was used because the symbol resembled an r for radix. Francois Viete (born in 1540) influenced symbolic algebra by using vowels for unknowns and consonants for known values in his equations. Prior to Viete people used different letters or symbols for various powers of quadratics, Viete used the same letter. For example: A was written A; A was written A quadratum, or A q for short; A
Lebensdaten Von Mathematikern Translate this page Georg (1816 - 1887) Roth, Leonhard (1904 - 1968) Routh, Edward (1831 - 1907) Rudio,Ferdinand (1856 - 1929) rudolff, christoff (1499 - 1545) Ruffini, Paolo http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
Extractions: Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
Êâàäðàòíûé êîðåíü èç 2 The history of the famous sign ? goes back up to 1525 in a treatise named Cosswhere the German mathematician christoff rudolff (14991545) used a similar http://algolist.manual.ru/maths/count_fast/sqrt2.php
Extractions: There are certainly people who regard as something perfectly obvious but jib at . This is because they think they can visualise the former as something in physical space but not the latter. Actually is a much simpler concept. Edward Charles Titchmarsh The constant 2 is famous because it's probably one of the first irrational numbers discovered. According to the Greek philosopher Aristotle (384-322 BC), it was the Pythagoreans around 430 BC who first demonstrated the irrationality of the diagonal of the unit square and this discover was terrible for them because all their system was based on integers and fractions of integers. Later, about 2300 years ago, in Book X of the impressive Elements, Euclid (325-265 BC) showed the irrationality of every nonsquare integer (consult [ ] for an introduction to early Greek Mathematics). This number was also studied by the ancient Babylonians. The history of the famous sign goes back up to 1525 in a treatise named Coss where the German mathematician Christoff Rudolff (1499-1545) used a similar sign to represent square roots.
UPF - Àrea D'Història De La Ciència Universität der Bundeswehr München The reduction of theoretically possible 27 typesof quadratic equations to eight by christoff rudolff mirrors the concern http://www.upf.es/huma/hciencia/abstracts.htm
Extractions: The reduction of theoretically possible 27 types of quadratic equations to eight by Christoff Rudolff mirrors the concern about the domain of admissible (positive) values of the roots. When Michael Stifel a generation later had reduced the solution of these eight different types of quadratic equations to one single rule he lived up to the expectations of the clients of German reckoningmasters who were accustomed to receive recipelike algorithmic rules for the solution without any proof or even hint of an understanding. This form of algorithmic rules for the solution of a problem is still preserved in the rules for finding the tangent or extreme values of Fermat. An interesting case to test the extension of the domain of admissibles values for the roots of an equation is the reception of Cardano's rules for the solution of cubic equations in Germany. It can be shown that Michael Stifel and Johannes Junge, who both treated cubic equations, modified Cardano's rules in a way that the roots fell still in the domain of Euclidean irrationalities. Only in the early 17th century cossists like Johannes Faulhaber and Peter Roth, to whom we owe one form of the fundamental theorem of algebra, accepted radicals with exponent three, albeit no complex solutions like Bombelli in Italy. In Faulhaber's
Extractions: In summarzing the mathematical achievements of the sixteenth century, We can say that symbolic algebra was well started, computation with the Hindu-Ariabic numerals became standardized, decimal fractions were developed, the cubic and quartic equations were solved and the theory of equations generally advanced, negative numbers were becoming accepted trigonometry was perfected and systematized, and some excellent tables were computed. The stage was set for the remarkable strides of the next century.
Historia Matematica Mailing List Archive: [HM] Peter Roth Nuremberg philomath who owned manuscripts from Peter Roth, amongst them one whiththe solutions of all the problems contained in the Coss of christoff rudolff. http://sunsite.utk.edu/math_archives/.http/hypermail/historia/sep98/0078.html
Lesson Six Radicals The word radical comes from a Latin word radix, meaning root. A Germanmathematician named christoff rudolff who first used it in 1525 invented it. http://www.personal.psu.edu/faculty/j/x/jxt18/Math21_WEB/Lesson6/lesson_six.htm
Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ Rota, GianCarlo (1420*) Roth, Klaus (706*) Roth, Leonard (97*) Routh, Edward (152)Rudin, Mary (1857*) Rudio, Ferdinand (268*) rudolff, christoff (172) Ruffini http://www.newturk.net/index111.html
Extractions: HOVERFLY-2 INDOOR HELICOPTER Hoverfly is a great little helicopter. It comes attractively finished and ready to fly. Its small, tough and quiet - and it flies indoors. Yet it handles just like its bigger brothers. You have a web site and you want to earn money, then click here. We recommend you the Otherlandtoys.co.uk, Commission Junction Program
TIMELINE 16th CENTURY Page Of ULTIMATE SCIENCE FICTION WEB GUIDE a book on Cartography in 1524 1522 The first Arithmetic book published in England,by Cuthbert Turnstall 1525 Die Coss by christoff rudolff, one of the http://www.magicdragon.com/UltimateSF/timeline16.html
Extractions: Return to Ultimate SF Table of Contents May be posted electronically provided that it is transmitted unaltered, in its entirety, and without charge. What were Ariosto and Cyrano doing on the Moon, and how did they get there? We examine both works of fiction and important contemporaneous works on non-fiction which set the context for early Science Fiction and Fantasy. There are hotlinks here to authors, magazines, films, or television items elsewhere in the Ultimate Science Fiction Web Guide or beyond. Over 58 kilobytes in length. Most recently updated: 24 December 2003 Executive Summary of the Century Major Books of the Decade 1500-1510 Major Books of the Decade 1510-1520 Major Books of the Decade 1520-1530 ... Where to Go for More : 51 Useful Reference Books The 16th Century was a time of great exploration, religious turmoil, political turmoil, scientific advances, and extraordinary literature. EXPLORATION Ferdinand Magellan 's expedition circumnavigated the world. He himself died on the mission, which started 1519. The only surviving ship to return was that commanded by Basque captain
Hansestadt Rostock Hausgeld-Register 1688 Steuer Bürgerschaft Translate this page Hanß Borkholt 1-0. Mattiaß Möller. Hinrich rudolff Bobst 4-0. Clauß Münster2-0. Johan Föge 2-0. christoff Hartigs Witwe. Jacob Kohlhagen. Friedrich Schröder. http://www.vigerust.net/by/rostock1688_hausgeld.html
Extractions: Die 1 Fahn die 1 Corp: Johan Christoff Folsch 4-0 Jochim Winter tagl Michel Schunemacher 2-0 Frantz Stolt 2-0 Mons: Redeker 4-0 Hinrich Bitter 2-0 Jurgen Schwabe 3-0 Jochim Ryckman 3-0 itwe Michel Maan 1-0 itwe Jochim Hydde Hinrich Harder Johan Stygman 2-0 Johan Turitz 2-0 Hinrich Pegelowes W itwe Hinrich Westpfahl Michel Wegener itwe Friedrich Schultz 4-0 itwe Christian Nuchtern 2-0 Hinrich Storm Die 2 Corp: itwe Christoffer Hydde tagl Hinrich Kannenberg Berent Schorff 2-0 Hinrich Wolter 2-0 Jochim Schrufer Christian Mundt 2-0 Hinrich Buneman 2-0 Carsten Brandt 2-0 Jacob Degener 2-0 Hinrich Dunnebehr 2-0 Jochim Strufing Jochim Behrensche 1-0 Jochim Gylow Otto Wilhelm Rodenburg 4-0 Jochim Viedt 3-0 Jurgen Rander Michel Tacke 1-0 Johan Mundt Jochim Kluett 1-12 Heyn Ulrich Hinrich Papeke tagl Carsten Harder Sebastian Wilbrant 2-0
Hansestadt Wismar: Türckensteuer 1689 St. Georg Kirchspiel 1 Translate this page Tohmas Beutiche 1. Jochim Drefahl 5. rudolff Wagener 4. Hans Oldenborgs witwe 60. Lubsche-Straß1. christoff Gröningk 20. Jochim Blumentahl 30. Bartelmes Dümmer 2. http://www.vigerust.net/by/wismar1689_georgkirchspiel1.html
Extractions: Ausgabe 05.08 2002. Gjengitt etter original i [Wiedergegeben nach der Original in] Archiv der Hansestadt Wismar, Abteilung III, Repositur 1, Aa, Ratsakten (Stadtverwaltung bis 1945/50), Tit. XI ( Fol. 23-32: Register von Georg Kirchspiehl 1689. Jacob Burmeister 3 Johan Neutman Schunhoff 2 Claus Meincke, grutzmuller 5 Johan Andreas Raub, im Ewig leben 5 Johan Panck, Vigilant 2 Claus Tengel 8 Hans Broder 2 Christian Hase 1 Hans Dreyvert, Neper 6 Andreas Diedrichs 2 Jochim Dabelman 3 Gotfried Heyden 2 Jacob Schmidt, Tischer 4 Jacob Rode, Schnider 2 Johann Vitter (N-?) 4 Daniel Pierstorff 60 Bastian Walther 2 Andreas Schooff 9 Hinrich Lubke 12 Jochim Frahm 8 Peter Vulff 2 Claus Zahrens 10 Hinrich Stehe 3 Friedrich Vookk 4 Diedrich Frick 7-8 Jochim Schomacher 12 Andreas Roggeman 6 Jochim Roggeman 30 Claus Brummer 3 Caspar Furst ? 1 N. Lustschowen witwe 6
Extractions: Accueil MP ... Documents et transcendant aux mots et fonction nombres impossibles nombres imaginaires nombres imaginaires nombres complexes touchantes sont devenues des tangentes . Les fluxions , et les fonctions synectiques holomorphes squelette , de ossuaire murs , des appartements et des immeubles ... Charles Ehresmann, inventeur des mots : fibre, jet, germe, tige injection injectif en 1952 dans les Foundations of algebraic topology surjectif surjection en 1964 dans les Foundations of algebraic topology bijection biunivoque n mots
