The Egyptian And Babylonian Mathematicians - 1257 Words

Abstract—Research compiled from video lectures and articles retrieved from the internet is the basis for the findings in this article related to solving a cubic equation. The noteworthy mathematicians and their contributions to the solution and their understanding of the cubic equation is included. Also included is an example of a cubic equation solved using Descartes’ Factor Theorem. Index Terms—complex number, cubic equation, Descartes, Riehmen Sphere, Tartaglia Introduction Building on the successes of their ancient predecessors the mathematicians of the European Renaissance searched for an algebraic solution to the cubic equation. The ancient Egyptian and Babylonian mathematicians produced solutions for the linear and quadratic equations. By 628, Brahmagupta, the Indian mathematician, developed the general quadratic formula for solving a quadratic equation. In the eighth century, the great Persian mathematician, Al-Kharizmi, offered a solution to the quadratic equation by completing the square. But solving the cubic equation or finding the zeroes of the polynomials of degree three evaded the great mathematicians. Omar Khayyan, the Islamic poet, astronomer, and mathematician attempted to find a general algebraic solution to the cubic equation but was able to only offer a geometric solution for a specific cubic equation. During the Renaissance, Tartaglia, Cardano, Viete, Fermat, and Descartes, made advances in solving the cubic equation. Later, Newton a nd Riemann wouldShow MoreRelatedThe History of Zero1561 Words   |  6 Pagestime zero was used in English language was in 1598. One of the many debates by mathematicians, even in our perspectives classroom is if zero was invented or discovered. â€Å"Zero’s path through time and thought has been as full of intrigue, disguise and mistaken identity as were the career of the traveller who first brought it to the west† (Kaplan, The Nothing That Is: A Natural History of Zero). Other debates by mathematicians are if zero is a placeholder or if it is a real number. The way our world functionsRead MoreThe History of Algebra916 Words   |  4 PagesMiddle East. In Egypt, the Egyptians used mathematics which included Algebra to solve equivalent to a linear equation. They solved problems without using symbols but rather stated the problems and solved it verbally. Very seldom symbols were used by the Egyptians to solve an algebraic problem; Egyptians interpret algebra as a form of way of communicating how to solve equations, which is called â€Å"method of false position.† In the ancient civilization of the Old Babylonian Period (1800-1600 B.C.) wereRead MoreMathematics Is That Of Pi ( ÃŽ   )1728 Words   |  7 Pagesneed to know the exact value of Ï€ to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the value of Ï€ have been identified on ancient clay tablets, dated 1900-1650 BC, from the Babylonian civilization which states the value of Ï€ as (25/8) = 3.125. and from the Egyptian civilization, from the Rhind Papyrus(1650BC), which approximates the value of Ï€ to be (16/9)^2Read MoreThe Mathematics Of A Large Nutshell959 Words   |  4 Pagesextends throughout the Mediterranean world. Greek was the language of the educated in most of the Mediterranean. Building on the work of the Egyptians, the Greeks made many great mathematical achievements (Berlinghoff Gouvea, 2004, p. 15). The Greek numeration system was very similar to the Roman’s and rather primitive compared to that of the Babylonians. The system used the 25 letters of the Greek alphabet and two extra characters. Nine of the characters were used to represent the numbers oneRead MoreMathematics Is That Of Pi ( ÃŽ   )2249 Words   |  9 Pagesneed to know the exact value of Ï€ to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the value of Ï€ have been identified on ancient clay tablets, dated 1900-1650 BC, from the Babylonian civilization which states the value of Ï€ as (25/8) = 3.125 (4) and from the Egyptian civilization, from the Rhind Papyrus(1650BC), which approximates the value of Ï€ to be (16/9)^2Read MoreThe History of Mathematics Essay627 Words   |  3 Pagesgeometric designs being used. Egypt was using a decimal number system around 5000BC. Babylonian and Egyptian calendars were being used starting in 4000BC. In 3400BC, the first symbols for numbers by using straight lines were being used in Egypt. Hieroglyphic numbers were used in Egypt around 3000BC along with the abacus being developed in the Middle East and areas around the Mediterranean. Also in 3000BC, Babylonians started using a sexagesimal number system which was used for recording financialRead More Pi Essay1620 Words   |  7 Pagesformulas that you learn as a young math student. I t is simply taught as, . There is no explanation as to why the area of a circle is this arbitrary formula. As it turns out the area of a circle is not an easy task to figure out by your self. Early mathematicians knew that area was, in general to four sided polygons, length times width. But a circle was different, it could not be simply divided into length and width for it had no sides. As it turns out, finding the measurement to be squared was not difficultRead MoreThe History Of Algebra, How It Started, The Most Study Mathematical Subject Around The World1750 Words   |  7 Pagesused to solve simple addition, subtraction, multiplication, and division and how it went incorporating more operations that permitted it to solve problems that involve abstract concepts. It will show that the recorded history begins mostly with the Egyptian papyrus, and how it went passing from one civilization. Moreover; it will show how each civilization contributed with something that at the end helpe d it to become what it is today, the most study mathematical subject around the world. 1. IntroductionsRead More The History of Math Essay4790 Words   |  20 Pagesof Babylonia and to Egypt of the 3rd millennium BC. There mathematics was dominated by arithmetic, with an emphasis on measurement and calculation in geometry and with no trace of later mathematical concepts such as axioms or proofs. The earliest Egyptian texts, composed about 1800 BC, reveal a decimal numeration system with separate symbols for the successive powers of 10 (1, 10, 100, and so forth), just as in the system used by the Romans. Numbers were represented by writing down the symbol forRead MoreWhy Beauty id Truth by Ian Stewart1222 Words   |  5 PagesHistory of Symmetry by Ian Stewart is in depth on how mathematicians came about symmetry. Instead of coming across symmetry by geometry as someone today might think, Stewart shows how it became an idea by algebra. Most of the book is told in chronological order from the early Egyptians and Babylonians discovery of the quadratic equation and leadi ng up to the impossibility to solve the quintic equation. Through each chapter we see how mathematicians get one step closer to solving the quintic, and their

Progressivism, The And, And The Stock Market Crash

In America’s pastime, there were many conflicts that continued to help shape America. Citizens were becoming more aware and concerned about how America was managed, as conflict was becoming a regular misfortune for the country. Events such as progressivism, the roaring twenties, and the stock market crash may have seemed like a negative time in the United States at face value, but the overall impacts and effects helped establish innovations that still positively influence the lives of citizens today. Progressivism can be loosely defined as a way to progress towards better conditions, which is what many people aspired to do for their country during the Gilded Age. This ideal came about when people began to see poverty become more popular throughout the country, and many blamed the government. Americans believed the solution was to have the government fixed before it could fix other problems. Muckrakers were the first people to articulate progressive ideas by uncovering corrupti on, targeting government and social problems, and raising awareness through journalism and literature. Herbert Spencer was one man who tested the idea of natural selection through his book, On the Origin of Species by Means of Natural Selection. Spencer strongly reinforced individualism by applying the theory of evolution and natural selection to human society. He believed society became better because only the fittest survived and those who didn’t gradually died. Some industrial leaders began to useShow MoreRelatedShikhar Giri. Professor Sinclair. History-1302. 07 January,1580 Words   |  7 Pagesfocused on what understudies of history imply as the Alleviation, Recuperation, and Change: help for the unemployed and poor, recovery of the economy to common levels, and change of the budgetary structure to keep a repeat depression, preserved the free-market economy. There was no nationalization of industry, and the social safety net created by Social Security paled by European standards. President Roosevelt himself used to explored the appraisal of the New Arrangement before it was done. As clearingRead MoreThe Great Depression Of The Roaring Twenties1001 Words   |  5 Pagestheir backs on Progressivism. Republicans were beginning to return to their previous dominance. The 1920’s was an economic boom for America, including everything from an increase in jobs, a rise in plentiful goods, new consumer products, and the reduction of taxes. The country was filled with jazz music, dance, and what appeared to be a brighter future. The 1929 crash of stock market was the beginning of a downward spiral leading in to the Great Depression. The stock market crash is often to beRead MoreThe Gilded Age : A Powerhouse Rose From The Ashes Of The Civil War871 Words   |  4 Pagesdishonesty and self-indulgence. Around this time, the affluent upper class was created due to the explosion of the population and economy. The stock market crash of 1893 which caused a severe depression across the land, caused this era to only last for a short few years, 1877-1893. With the Gold Rush, victory of Western enlargement, and the unbelievable abundant stock of possessions like timber in the West, Gilded Era took off with railroads leading the way. The upper class was swiftly covered in cash,Read MoreWar I And World War II1264 Words   |  6 Pages At any rate, both had leading ideas that made a positive impact on the United States’ economic system. From the 1890’s to the 1920’s, in response to the Panic of 1893 and the Panic of 1907, was the Progressive Era, an era characterized by progressivism, or the movement for social reform. The progressives sought to take down corrupt officials and monopolies in the hope of bringing about a more direct democracy, giving more power to the people. This is the era in which suffrage was a popular movementRead MoreCultural Confrontations of the 1920’s: KKK, Scopes Trial Essay1388 Words   |  6 PagesCultural Confrontations of the 1920’s The 1920s were a time of change for the United States. Following the First World War there was a rush of new cultural, social, and artistic dynamism, partly fuelled by the Progressivism movement that was cut short when American entered the Great War. This decade was defined by a change from more rural farm life to industrialism in big cities. The shift from the frugality and traditional family values or previous generations to the happy-go-lucky consumerismRead MoreAnalysis Of F. Scott Fitzgerald2297 Words   |  10 Pagespattern was repeated over and over again during the 1920s. After the first World War concluded in 1919, new inventions and reformations were being made, which gave society newfound optimism. However, due to bad investments made by stockholders, the stock market crashed in 1929, sending America spiraling into a crippling depression for the next decade (â€Å"A Changing Society† 96). F. Scott Fitzgerald was the most notable author of the decade, and he was largely self-created. He spent the majority of his lifeRead MoreChanges in America Between 1920 and 1960 Essay1404 Words   |  6 PagesDuring the years between 1920 and 1960, America saw change in many aspects of life. The United States was a part of two major wars and a crash of the banking system that crippled the economy greater than ever seen in this country’s history. Also the country had new insecurities to tackle such as immigration and poor treatment of workers. These events led to the change of America lives socially, economically, and politically. The people of America changed their ideas of what the country’s placeRead MoreThe Great Depression And World War II2840 Words   |  12 PagesAdjustment Administration) to support farm prices, the CCC (Civilian Conservation Corps) to employ young men, and the NRA (National Recovery Administration), which regulated wages and prices . Other agencies insured bank deposits, regulated the stock market, subsidized m ortgages, and provided relief to the unemployed. The â€Å"New Deal† was a series of economic measures formulated and enacted in the United States between 1933 and 1936. They included both laws passed by Congress as well as presidentialRead MorePre-Columbian Period9302 Words   |  38 Pagescommunities in previously undeveloped areas. Abusive industrial practices led to the often violent rise of the labor movement in the United States.[66] Influential figures of the period included John D. Rockefeller and Andrew Carnegie. [edit] Progressivism, imperialism, and World War I (1890 1918) Main article: Progressive Era Mulberry Street, along which Manhattans Little Italy is centered. Lower East Side, circa 1900.After the Gilded Age came the Progressive Era, whose followers called forRead MoreThe American Political Tradition and the Men Who Made It Essay7033 Words   |  29 Pagescan be dangerous. While some people believed that â€Å"Business is the very soul of the American†, the bank excluded Americans from competition in the sale of privilege and the government received less than it was worth. Foreigners owned  ¼ if the bank’s stock which many saw as a menace to the country’s liberty and independence. Another part of being a follower in the Jacksonian Democracy was being opposed to privilege and inflation, and holding the same social philosophy of â€Å"every man is equally entitled

Soc Theory Paper Free Essays

‘it is always the doctors patient’ This paper will be discussing the struggle of allied health practitioners to achieve professional status. This health issue can be discussed under many different sociological theories however Feminism in particular sociological/ Marxist feminism with touching on post modern feminism also, shows great understanding around the health issues and gives an understanding of the way of health and health care in Australia. It explains how medical dominance in this field overrights the Allied health professional through subordination the allied health professionals being under direct authority of doctors in the hospital system in particular. We will write a custom essay sample on Soc Theory Paper or any similar topic only for you Order Now Feminism also shows that in this field Allied health practioners are predominantly woman and medical professionals hold a patriarchy over allied health and the sexual division of the two. Finally closing point of how many womens health issues in past and present are again predominantly male. Medical dominance, â€Å"the professional dominance of medicine due to doctors† (Fridson 1970). Allied health profressionals struggle to receive professional status in the health industry, due to the fact that doctors and medical professionals hold dominance and â€Å"power† over those knowledge based practioners in an area of a specific field. Medical dominance has a few areas in which it exerts control, subordination being a key area, it ensures some health care workers Eg Nurses, OT’s etc all to work under direct authority of doctors, especially in hospital system (Willis 2004). Sociological feminism looks at the â€Å"ruling class† system, Medical professionals hold the hiearchy position or the upper class level with higher wealth, income funding and power, Allied health is placed in the lower class or the working class due to the fact that they are controlled or dominated by the upper class or the hiarchy or the industry, as they receive less funding and have little control over receiving their patients due to the fact that doctors write the referrals for the clients to access the allied health professionals. Another issues amoungst allied health in the power struggle with medical dominance is the fact that most allied health positions are filled with females. Because of â€Å"the informal role of woman was to be the carer â€Å" ( Germov 2009), a woman is seen to this begun woman gaining positions as nurses or midwives, as these are seen as caring roles or ‘womens’ jobs’ which then progessed to woman expanding into allied health positions as the access of education became greater to woman, How to cite Soc Theory Paper, Essay examples