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François Budan De Boislaurent
Ferdinand François Désiré Budan de Boislaurent (28 September 1761 – 6 October 1840) was a French amateur mathematician, best known for a tract, ''Nouvelle méthode pour la résolution des équations numériques'', first published in Paris in 1807, but based on work from 1803. Budan was born in Limonade, Cap-Français, Saint-Domingue (now Haiti) on 28 September 1761. His early education was at Juilly, France. He then proceeded to Paris where he studied medicine, receiving a doctorate for a thesis entitled ''Essai sur cette question d'économie médicale : Convient-il qu'un malade soit instruit de sa situation?'' Budan died in Paris on 6 October 1840. Budan explains in his book how, given a monic polynomial p(x), the coefficients of p(x+1) can be obtained by developing a ''Pascal-like triangle'' with first row the coefficients of p(x), rather than by expanding successive powers of x+1, as in Pascal's triangle proper, and then summing; thus, the method has the flavour of lattic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budan Boislaurent
Budan may refer to: * Budan, Iran *Baba Budan, 17th century Sufi reputed to have introduced coffee to India *François Budan de Boislaurent, French mathematician *Igor Budan, Croatian footballer *The Pinyin transliteration of the country Bhutan Bhutan (; dz, འབྲུག་ཡུལ་, Druk Yul ), officially the Kingdom of Bhutan,), is a landlocked country in South Asia. It is situated in the Eastern Himalayas, between China in the north and India in the south. A mountainous ... {{dab, geo, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
English Channel
The English Channel, "The Sleeve"; nrf, la Maunche, "The Sleeve" (Cotentinais) or ( Jèrriais), (Guernésiais), "The Channel"; br, Mor Breizh, "Sea of Brittany"; cy, Môr Udd, "Lord's Sea"; kw, Mor Bretannek, "British Sea"; nl, Het Kanaal, "The Channel"; german: Ärmelkanal, "Sleeve Channel" ( French: ''la Manche;'' also called the British Channel or simply the Channel) is an arm of the Atlantic Ocean that separates Southern England from northern France. It links to the southern part of the North Sea by the Strait of Dover at its northeastern end. It is the busiest shipping area in the world. It is about long and varies in width from at its widest to at its narrowest in the Strait of Dover."English Channel". ''The Columbia Encyclopedia'', 2004. It is the smallest of the shallow seas around the continental shelf of Europe, covering an area of some . The Channel was a key factor in Britain becoming a naval superpower and has been utilised by Britain as a natural def ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century French Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1840 Deaths
__NOTOC__ Year 184 ( CLXXXIV) was a leap year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eggius and Aelianus (or, less frequently, year 937 ''Ab urbe condita''). The denomination 184 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place China * The Yellow Turban Rebellion and Liang Province Rebellion break out in China. * The Disasters of the Partisan Prohibitions ends. * Zhang Jue leads the peasant revolt against Emperor Ling of Han of the Eastern Han Dynasty. Heading for the capital of Luoyang, his massive and undisciplined army (360,000 men), burns and destroys government offices and outposts. * June – Ling of Han places his brother-in-law, He Jin, in command of the imperial army and sends them to attack the Yellow Turban rebels. * Winter – Zha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1761 Births
Events January–March * January 14 – Third Battle of Panipat: Ahmad Shah Durrani and his coalition decisively defeat the Maratha Confederacy, and restore the Mughal Empire to Shah Alam II. * January 16 – Siege of Pondicherry (1760) ended: The British capture Pondichéry, India from the French. * February 8 – An earthquake in London breaks chimneys in Limehouse and Poplar. * March 8 – A second earthquake occurs in North London, Hampstead and Highgate. * March 31 – 1761 Portugal earthquake: A magnitude 8.5 earthquake strikes Lisbon, Portugal, with effects felt as far north as Scotland. April–June * April 1 – The Austrian Empire and the Russian Empire sign a new treaty of alliance. * April 4 – A severe epidemic of influenza breaks out in London and "practically the entire population of the city" is afflicted; particularly contagious to pregnant women, the disease causes an unusual number of miscarriages and prema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paolo Ruffini (mathematician)
Paolo Ruffini (Valentano, 22 September 1765 – Modena, 10 May 1822) was an Italian mathematician and philosopher. Education and Career By 1788 he had earned university degrees in philosophy, medicine/surgery and mathematics. His works include developments in algebra: * an incomplete proof (Abel–Ruffini theorem) that quintic (and higher-order) equations cannot be solved by radicals (1799), * Ruffini's rule which is a quick method for polynomial division, * contributions to group theory. He also wrote on probability and the quadrature of the circle. He was a professor of mathematics at the University of Modena and a medical doctor including scientific work on typhus. Group theory In 1799 Ruffini marked a major improvement for group theory, developing Joseph Louis Lagrange's work on permutation theory ("Réflexions sur la théorie algébrique des équations", 1770–1771). Lagrange's work was largely ignored until Ruffini established strong connections between permutat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Horner's Method
In mathematics and computer science, Horner's method (or Horner's scheme) is an algorithm for polynomial evaluation. Although named after William George Horner, this method is much older, as it has been attributed to Joseph-Louis Lagrange by Horner himself, and can be traced back many hundreds of years to Chinese and Persian mathematicians. After the introduction of computers, this algorithm became fundamental for computing efficiently with polynomials. The algorithm is based on Horner's rule: :\begin a_0 &+ a_1x + a_2x^2 + a_3x^3 + \cdots + a_nx^n \\ &= a_0 + x \bigg(a_1 + x \Big(a_2 + x \big(a_3 + \cdots + x(a_ + x \, a_n) \cdots \big) \Big) \bigg). \end This allows the evaluation of a polynomial of degree with only n multiplications and n additions. This is optimal, since there are polynomials of degree that cannot be evaluated with fewer arithmetic operations. Alternatively, Horner's method also refers to a method for approximating the roots of polynomials, described by H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William George Horner
William George Horner (9 June 1786 – 22 September 1837) was a British mathematician. Proficient in classics; mathematics, he was a schoolmaster, headmaster and schoolkeeper, who wrote extensively on functional equations, number theory and approximation theory, but also on optics. His contribution to approximation theory is honoured in the designation Horner's method, in particular respect of a paper in ''Philosophical Transactions of the Royal Society of London'' for 1819. The modern invention of the zoetrope, under the name ''Daedaleum'' in 1834, has been attributed to him. Horner died comparatively young, before the establishment of specialist, regular scientific periodicals. So, the way others have written about him has tended to diverge, sometimes markedly, from his own prolific, if dispersed, record of publications and the contemporary reception of them. Family life The eldest son of the Rev. William Horner, a Wesleyan minister, Horner was born in Bristol. He was educate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph-Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an and , later naturalized [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Barlow (mathematician)
Peter Barlow (13 October 1776 – 1 March 1862)Lance Day and Ian McNeil, ''Biographical dictionary of the history of technology'', Routledge, 1995, page 42. was an English mathematician and physicist. Work in mathematics In 1801, Barlow was appointed assistant mathematics master at the Royal Military Academy, Woolwich, and retained this post until 1847. He contributed articles on mathematics to ''The Ladies' Diary'' as well as publishing books such as: ''An Elementary Investigation of the Theory of Numbers''(1811); ''A New Mathematical and Philosophical Dictionary''(1814); and ''New Mathematical Tables''(1814). The latter became known as ''Barlow's Tables'' and gives squares, cubes, square roots, cube roots, and reciprocals of all integer numbers from 1 to 10,000. These tables were regularly reprinted until 1965, when computers rendered them obsolete. He contributed to ''Rees's Cyclopædia'' articles on Algebra, Analysis, Geometry and Strength of Materials. Barlow also contribu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
