Equations Translate this page Quelques décennies plus tard , tartaglia ( de son vrai nom niccolo fontana environ1500 - 1557 ) résout plusieurs équations de ce type .Al'âge de 13 ans http://www.chez.com/histoiredechiffres/histoire notations/page/equations.htm
Extractions: Avant le symbolisme usage des lettres conclusion Avant l'invention des équations 2000 ans avant JC , on résolvait déjà des équations afin de faire le partage des récoltes entre le Pharaon , les prêtres et les ouvriers . Mais il n'existait aucune méthode générale pour les résoudre ; les équations étaient résolues en faisant une suite de calculs sans justification . Les Indiens employaient des noms de couleurs pour des inconnues. Diophante , mathématicien grec du III e siècle , résout des équations en cherchant un nombre inconnu désigné par un symbole particulier. Mais tout était sous forme de phrases , les notations actuelles n'existaient pas encore . Les mathématiciens arabes du IX e au XIV e siècle ont joué un rôle important dans l'évolution des méthodes de résolution des équations . Cependant , les méthodes de résolution étaient compliquées car ils ne disposaient pas des notations actuelles, et faisaient des phrases . C'est Al-Khwarizmi qui , au IX e siècle , propose une méthode de résolution des équations écrite ci-dessous en notation modernes :
Mathematicians Eratosthenes of Cyrene, Euclid of Alexandria. Evariste Galois, niccolo fontana tartaglia.Christian Goldbach, Apollonius of Perga. Sir Issac Newton, Leonhard Euler. http://ccms.wcpss.net/media/mathematicians.htm
Cardano niccolo fontana (14991557) better know as tartaglia The Stammer (he got his nicknamebecause he suffered a deep sword wound from a French soldier so that he http://muskingum.edu/~rdaquila/m370/cardano.html
Extractions: Died: 1576 Milan, Italy The story of Cardano comes in the time of the renaissance. Due to the innovation of the printing press ideas are being shared all over europe. This also includes mathematical ideas. One of the most significant results of Cardano's work is the solution to the general cubic equation [2 p 133]. This is an equation of the form: ax + bx + cx + d = which Cardano was able to find solutions for by extracting certain roots [3]. Before we begin with the story of Cardano, we must explain some history associated with the solution of the cubic. Although the solving of equation goes back to the very roots (no pun) of mathematics this segment of the story begins with Luca Pacioli (1445-1509). Paciloi authored a work Summ de Arithmetica , in which he summerized the solving of both linear and quadratic equations. This was a significant work because the algebra of the day was still in a very primitive form. The symbolism of today is not done at this time, but a written description of equations is used. Pacioli ponders the cubic and decides the problem is too difficult for the mathematics of the day [2 p 134]. Scipione del Ferro (1465-1526) continues the work that Pacioli had begun, but is more optimistic. Del Ferro is able to solve the "depressed cubic", that is a cubic equation that has no square term. The depressed cubic that del Ferro works with is of the form x
Complex Analysis Its solution had been communicated to him by niccolo fontana (who, unfortunately,came to be known as tartaglia the stammerer - because of a speaking disorder http://www.ecs.fullerton.edu/~mathews/c2000/c01/Links/c01_lnk_3.html
Extractions: Section 1.1 The Origin of Complex Numbers Complex analysis can roughly be thought of as that subject which applies the ideas of calculus to the imaginary numbers. But what exactly are imaginary numbers? Usually, students learn about them in high school with introductory remarks from their teachers along the following lines: "We can't take the square root of a negative number. But, let's pretend we can - and since these numbers are really imaginary, it will be convenient notationally to set ." Rules are then learned for doing arithmetic with these numbers. The rules make sense. If , it stands to reason that . On the other hand, it is not uncommon for students to wonder all along whether they are really doing magic rather than mathematics. If you ever felt that way, congratulate yourself! You're in the company of some of the great mathematicians from the sixteenth through the nineteenth centuries. They too were perplexed with the notion of roots of negative numbers. The purpose of this section is to highlight some of the episodes in what turns out to be va very colorful history of how imaginary numbers were introduced, investigated, avoided, mocked, and eventually accepted by the mathematical community. We intend to show you that, contrary to popular belief, there is really nothing imaginary about "imaginary numbers" at all. In a metaphysical sense, they are just as real as are "real numbers."
Www.ecs.fullerton.edu/~mathews/c2000/cma.nb/ca01.nb Its \ solution had been communicated to him by niccolo fontana (who, unfortunately,\ came to be known as tartaglia the stammerer - because of a speaking http://www.ecs.fullerton.edu/~mathews/c2000/cma.nb/ca01.nb
Ballistics And Gunnery In The Smoothbore Era of Nova Scientia by an Italian mathematician, niccolo fontana (1499 1559). withan impediment in his speech - plus the nickname 'tartaglia' (stutterer) which http://riv.co.nz/rnza/hist/gun/smooth3.htm
Extractions: previous index next At the beginning of the smooth-bore era Gunners knew little of the motion of projectiles, with which the science of ballistics is concerned. For example, they believed a shot fired from a gun travelled in a straight line to some point in space, then fell vertically to earth! Important as a pioneer attempt to establish laws of moving bodies was the publication of Nova Scientia by an Italian mathematician, Niccolo Fontana (1499 - 1559). During the sack of Brescia by the French in 1512 he suffered a sabre cut to the head which left him with an impediment in his speech - plus the nickname 'Tartaglia' (stutterer) which he later adopted as his surname and by which he is generally known. th Most other authors on the subject during the 16 th and 17 th centuries based their writings on Tartaglia, although some did dispute certain of his theories. In 1742 Benjamin Robins (1707-51) invented his ballistic pendulum, an instrument designed to measure the velocity of a projectile directed at it.Knowing the weight of the pendulum,H, with target, K, the weight of the shot fired, and the distance the pendulum moved when struck (measured by strap L), it was possible to calculate the velocity of the shot. By performing experiments at various distances Robins was able to determine the loss of velocity as range increased, and therefore the effects of air density and gravity. The instrument had its faults, but at least its design was based upon logical thought, not on rules of thumb or guesswork. Robins published his findings in
Old Comrades History - The Gun By WL Ruffell publication of Nova Scientia by an Italian mathematician, niccolo fontana (1499 1559 impediment in his speech - plus the nickname tartaglia (stutterer) which http://riv.co.nz/rnza/hist/art90b.htm
Extractions: sights and laying - ballistics At the beginning of the smooth-bore era Gunners knew little of the motion of projectiles, with which the science of ballistics is concerned. For example, they believed a shot fired from a gun travelled in a straight line to some point in space, then fell vertically to earth! Important as a pioneer attempt to establish laws of moving bodies was the publication of Nova Scientia by an Italian mathematician, Niccolo Fontana (1499 - 1559). During the sack of Brescia by the French in 1512 he suffered a sabre cut to the head which left him with an impediment in his speech - plus the nickname Tartaglia (stutterer) which he later adopted as his surname and by which he is generally known. th Most other authors on the subject during the 16 th and 17 th centuries based their writings on Tartaglia, although some did dispute certain of his theories. In 1742 Benjamin Robins (1707-51) invented his ballistic pendulum , an instrument designed to measure the velocity of a projectile directed at it.Knowing the weight of the pendulum,H, with target, K, the weight of the shot fired, and the distance the pendulum moved when struck (measured by strap L), it was possible to calculate the velocity of the shot. By performing experiments at various distances Robins was able to determine the loss of velocity as range increased, and therefore the effects of air density and gravity. The instrument had its faults, but at least its design was based upon logical thought, not on rules of thumb or guesswork. Robins published his findings in
A Look To The Past niccolo fontana (tartaglia) (15001557) claimed to be able to solve cubic equationsof the form x3+ mx2 = n. However, he apparently did not know how to solve http://ued.uniandes.edu.co/servidor/em/recinf/tg18/Vizmanos/Vizmanos-2.html
Extractions: Will elementary algebra disappear with the use of new graphing calculators?. What do we understand elementary algebra to be? Elementary algebra is the language with which we communicate the majority of mathematics. Thanks to algebra we can work with concepts at an abstract level and then apply them. Elementary algebra begins as a generalization of arithmetic and then focuses on its own structure and greater logical coherence. From there comes the importance of the various uses of algebraic symbols. When we write A + B, we can be indicating the sum of two natural numbers, the sum of two algebraic expressions, or even the sum of two matrices. Thus there is, at first, representations and symbolism, and later the development of algorithms and procedures to work formally with algebraic expressions. But what we today understand to be algebra has been the fruit of the efforts of many generations that have been contributing their grains of sand in constructing this magnificent building. It seems that the Egyptians already knew methods for solving first degree equations. In the
Hi, I'm From Taiwan Again. Always Thanks For Your Help. And Godfather. I think the author was referring to niccolo fontana (alsoknown as tartaglia Italian for stutterer). tartaglia was http://www.wordwizard.com/clubhouse/founddiscuss.asp?Num=3152
Extractions: Mathematical Applications MATH-117 This course is for students who do not intend to take trigonometry and calculus. It is intended to satisfy the general university competency requirement in mathematics. Topics may include by are not limited to: problem solving strategies, logic, consumer mathematics, probability and statistics, geometry, and mathematics and art. This course does satisfy the mathematics requirement of the Associate of Arts or Associate of Science degree. The student will be required to complete a mathematical research paper/project This paper must be a college level paper , at least 4 to 5 pages in length. It must be documented and referenced with at least 3 sources (more than half of the sources must be non-Internet sources). You will be required to give a 10 - 15 minute presentation on this research Following is a list of possible topics for the paper/project. Include are some interesting math websites which can help you decide which topic is of interest to you. General Sites these sites have many topics The History of Mathematics University of South Australia Ask Dr. Math
Complex Analysis Its solution had been communicated to him by niccolo fontana (who, unfortunately,came to be known as tartagliathe stammerer-because of a speaking disorder http://math.fullerton.edu/mathews/c2002/ca0101.html
Extractions: (c) John H. Mathews, and ... COMPLEX NUMBERS Section 1.1 The Origin of Complex Numbers Complex analysis can roughly be thought of as that subject which applies the ideas of calculus to imaginary numbers. But what exactly are imaginary numbers? Usually, students learn about them in high school with introductory remarks from their teachers along the following lines: "We can't take the square root of a negative number. But, let's pretend we can-and since these numbers are really imaginary , it will be convenient notationally to set ." Rules are then learned for doing arithmetic with these numbers. The rules make sense. If , it stands to reason that . On the other hand, it is not uncommon for students to wonder all along whether they are really doing magic rather than mathematics. If you ever felt that way, congratulate yourself! You're in the company of some of the great mathematicians from the sixteenth through the nineteenth centuries. They, too, were perplexed with the notion of roots of negative numbers. The purpose of this section is to highlight some of the episodes in what turns out to be a very colorful history of how imaginary numbers were introduced, investigated, avoided, mocked, and-eventually-accepted by the mathematical community. We intend to show you that, contrary to popular belief, there is really nothing imaginary about "imaginary numbers'' at all. In a metaphysical sense, they are just as real as are "real numbers.''
×éÖ¯ Simpson, Thomas (17101761) - ? Stirling, James (1692-1770) - ? tartaglia- niccolo fontana known as tartaglia (1499-1557) - Taylor http://www.lib.pku.edu.cn/is/Navigation/Mathematics/org_1.htm
Kolmannen Asteen Yhtälöä Ratkaisemassa (Solmu 1/2000-2001) Noin vuonna 1535 matemaatikko niccolo fontana alias tartaglia löysi ilmeisestikinitsenäisesti ratkaisun yhtälölle, joka on muotoa x 3 +rx 2 +q=0. Fior http://solmu.math.helsinki.fi/2000/2/saksman/
Extractions: PDF Taustana tarinallemme on tämän kevään lyhyen matematiikan yo-tehtävä, jossa käskettiin osoittamaan, että yhtälöllä f x x x -2=0 on juuri välillä (2,3) ja pyydettiin haarukoimaan kyseiselle juurelle kaksidesimaalinen likiarvo. Moni kokelas yritti vahingossa soveltaa probleemaan toisen asteen yhtälön ratkaisukaavaa, toki huonolla seurauksella. Tietystikään tehtävän ratkaisussa ei tarvita juuren tarkan arvon määräämistä - juuren olemassaolo annetulla välillä seuraa polynomifunktion f jatkuvuudesta ja havainnosta f f Johdamme seuraavassa yleisen ratkaisukaavan kolmannen asteen yhtälölle sekä kerromme lyhyesti asiaan liittyvästä historiasta. Esitiedoiksi riittää lukion pitkän matematiikan kurssi, liitteessä kertaamme lyhyesti kompleksilukujen juurtamista. Myöhemmässä kirjoituksessa tarkoitukseni on käsittelellä hieman yleisemmin likiarvomatematiikkaa, eli kuinka esimerkiksi yllä mainittu juuri voidaan laskea tehokkaasti niin tarkasti kuin halutaan. 1. Reaalijuurten lukumäärä.
Ars Magna koren rovnice. tartaglia (tartaglia bola prezyvka. Znamena koktavy.),vlastnym menom niccolo fontana (asi 14991557), riesil rovnice. http://www.pedf.cuni.cz/k_mdm/katedra/pracovnici/kubinova/studenti/podklady/k31/
Extractions: Ars magna Znam, S. A kol.: Pohlad do dejin matematiky, Alfa, Bratislava 1986, str. 100-102 2.3.4 Ars magna Vo vsetkych spomenutych algebraickych rozpravach stredoveku sa autori zaoberali riesenim kvadratickych rovnic. Vynimocne studovali specialne typy rovnic tretieho alebo stvrteho stupna. Az v 16. storoci sa v tomto smere dosiahol uspech. Geronimo Cardano (1501~ 1576) vo svojom diele Ars magna (Velke umenie, 1545) vyklada metodu riesenia rovnic tretieho a stvrteho stupna. Uvedieme najprv volny preklad jedneho odstavca z toho diela: "Scipione del Ferro z Bologni asi pred tridsiatimi rokmi objavil metodu* vylozenu v tejto kapitole a povedal ju Antoniovi Fiorovi z Benatok, ktory potom, ako sa raz pretekal s Niccolom Tartagliom z Brescii, zistil, ze Niccolo tiez objavil tuto metodu. Niccolo na nasu ziadost tuto metodu povedal nam, no neprezradil dokaz. Vyuzijuc toto, hladali sme dokaz a nasli ho, aj ked s vetkou namahou, a to ten, ktory vysvetlime dalej". To, o com sa tu nepise, ale je zname, je ta skutocnost, ze Cardano slubil Tartagliovi nevyzradit metodu riesenia kubickej rovnice a Tartaglia po publikovani Ars magna obvinil Cardana z porusenia tohto slubu. Strucne vysvetlime, kto z nich co urobil. Najprv poznamenajme, ze koeficienty v rovnici boli len kladne cisla. Teda rovnicu
Ballistics O'Connor, John J and Robinson, Edmund F. Nicolo fontana tartaglia. http//www Westfall,Richard S. tartaglia Tartaleo, Tartaia, niccolo. http//es http://tomacorp.com/ballistics/ballistics.html
Extractions: Ballistics Spud Gun A spud gun is a form of potato shooter that is made of ABS pipe. Do not use PVC pipe! . Do not use DWV pipe (drain, waste, vent) or cellulose pipe marked NOT FOR PRESSURE. This means DO NOT USE THEM OR PRESSURIZE THEM AT ALL. These pipes can tolerate no pressures and will explode if pressurized, causing great harm or death. A friend of a guy named John Rich made the designs of the spud gun. Bob Simon put up a website called " Backyard Ballistics " in 1995 in the city of Houston, Texas. He probably did this for the purposes of fun. This is just the sort of thing that you should expect from a Texan! Note: I am about to tell you how to make one of these things. Do not use this for any purpose other than fun. Do not point this at anyone or anything. Do not even build one. You could become seriously injured or killed!) How to make a spud gun Materials 1 10 foot 3 inch diameter schedule 40 ABS pipe 110 foot 2 inch diameter schedule 40 ABS pipe 1 3 to 2 inch reducing bushing 1 3 inch coupling 1 3 inch threaded (one side) coupling 1 3 inch threaded end-cap One can ABS solvent-weld pipe glue.
MATH 98 - Pictures 15711630) Galileo Galilei (1564-1642) John Napier (1550-1617) Francois Viete (1540-1603)Gerolamo Cardano (1501-1576) niccolo fontana tartaglia (1500-1557 http://hilbert.dartmouth.edu/~m98s99/m98pix.html
December 13 - Today In Science History His proper name was niccolo fontana although he is always known by his nickname,tartaglia, which means the stammerer. When the French sacked Brescia in 1512 http://www.todayinsci.com/12/12_13.htm
Extractions: Philip Warren Anderson is an American physicist who (with John H. Van Vleck and Sir Nevill F. Mott) received the 1977 Nobel Prize for Physics for his research on semiconductors, superconductivity, and magnetism. He made contributions to the study of solid-state physics, and research on molecular interactions has been facilitated by his work on the spectroscopy of gases. He conceived a model (known as the Anderson model) to describe what happens when an impurity atom is present in a metal. He also investigated magnetism and superconductivity, and his work is of fundamental importance for modern solid-state electronics, making possible the development of inexpensive electronic switching and memory devices in computers. John Henry Patterson American manufacturer who founded NCR (National Cash Register Co.) and helped popularize the modern cash register by means of aggressive and innovative sales techniques. In the 1870s, when he and his brother Frank established a successful business selling coal and miner's supplies, unrecorded sales were a problem. After reading a description of the cash register designed by James Ritty and sold by the National Manufacturing Company in Dayton, John ordered two, sight unseen. In six months they reduced his debt from $16,000 to $3,000 and the books showed a profit of $5,000. These modern machines had solved the old problems of disorganization and dishonesty. Patterson "was so impressed that he bought the company."
History - Page One 1535 niccolo fontana (tartaglia) (1500?1557) wins a mathematical contestby solving many different cubics, and gives his method to Cardan. http://www.vimagic.de/hope/1/
Extractions: Girolamo Cardan (1501-1576) gives the complete solution of cubics in his book, The Great Art, or the Rules of Algebra . Complex numbers had been rejected for quadratics as absurd, but now they are needed in Cardan's formula to express real solutions. The Great Art also includes the solution of the quartic equation by Ludovico Ferrari (1522-1565), but it is played down because it was believed to be absurd to take a quantity to the fourth power, given that there are only three dimensions.
Tartsuite Translate this page Biography of niccolo tartaglia.url. 5e secondaire - Grands mathématiciens - tartaglia.url.Niccolò fontana (tartaglia) (1499-1557) - Mathematics and the http://users.skynet.be/expert_en_balistique/Tartsuite.htm
