Preview

European Algebra Research Paper

Good Essays
Open Document
Open Document
1195 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
European Algebra Research Paper
Unlike geometry, algebra was not developed in Europe. Algebra was actually discovered (or developed) in the Arab countries along side geometry. Many mathematicians worked and developed the system of math to be known as the algebra of today. European countries did not obtain information on algebra until relatively later years of the 12th century. After algebra was discovered in Europe, mathematicians put the information to use in very remarkable ways. Also, algebraic and geometric ways of thinking were considered to be two separate parts of math and were not unified until the mid 17th century. The simplest forms of equations in algebra were actually discovered 2,200 years before Mohamed was born. Ahmes wrote the Rhind Papyrus that described …show more content…
Omar was also a poet, philosopher, and astronomer. Omar's works were translated in 1851, which was research on Euclid's axioms. In the medieval period, he expanded on Khwarizmi's and the Greeks mathematic works. He only worked with cubic equations only and focused on geometric and algebraic solutions of equations. In 1145AD, Al-Khwarizmi's book was translated by Robert Chester, which made it possible for algebra to be introduced to Europe. After algebra was introduced in Europe, European mathematicians developed and expanded on algebra concepts. Even though algebra began in the Arabic countries, once European mathematicians obtained the information of algebra, they became the leaders of mathematical discoveries in the world …show more content…
Descartes was also known as Cartesius and was the creator of the Cartesian coordinate system. Descartes also formulated the basis of modern geometry and showed how to make geometry problems into problems in algebra. Descartes was the real start of algebra and geometry becoming unified. Rene's work led to the development of analytical geometry, which is the study of geometry using the principles of algebra. With Rene's work, geometry has been more easily explained and showed how results from equations can be expressed as a vector or shape ("Rene

You May Also Find These Documents Helpful

  • Good Essays

    As a matter of fact, Leonardo dedicated his book Liber Quadratorum, “Book of Square Numbers,” which was allocated strictly to Diophantine equations of the second degree, and was considered his masterpiece, to Fredrick II. The Liber Quadratorum contained many equations and theories which were developed by Leonardo himself, but his greatest contribution was his assertion that could not both equal squares was of huge importance in the determination of the area of rational right triangles ("Leonardo Pisano," par. 3).…

    • 769 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Euclid wrote a book with proofs still used today. Even though this was an early development in the math world it is sophisticated enough to still be taught today. This was one of the many mathematical breakthroughs that helped evolve Eurasia’s culture into a more complex, educated and diverse culture. Mathematicians were even able to roughly calculate the circumference of the Earth. This means they not only had the mathematical principles but also applied them . This shows the maturing of Math During the Hellenistic Age, as a result of Alexander's conquests. Not only was math affected, but mechanical sciences also improved the invention the steam engine occurred , and invention still used today to transport goods. This proves Alexander permanently changed Eurasia’s culture regarding mechanical sciences. All of this evidence proves that Alexander’s rule has a long lasting impact on society…

    • 610 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Maria Ascher's *Mathematics Elsewhere,* identifies mathematical ideas that are present all over the world, and is "intended as another step toward a global and humanistic history of mathematics." (Ascher IV) This important volume clarifies how many universal mathematical concepts, both simple and complex, are used and understood by countless cultures worldwide, regardless of differences in geography, language, and era. By studying and widening the scope of the history and breadth of mathematical thought, Ascher argues that "we are supplying complexity and texture... [and] in short, enlarging our understanding of the variety of human expressions and human usages associated with the same basic ideas." (2)…

    • 900 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    Born muslim in c. 780,Al-Khwārizmī, became a mathematician,not any mathematician but “the father Of Algebra “ who also studied astronomy,geography ,history and made history .Due to lost documents and the time period in which he lives in;many details about his life are unknown and uncertain .He was an intelligent man Al-Khwārizmī lived in Baghdad, where he worked at the “House of Wisdom”This was a place…

    • 265 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Hunter Talley Mr. Tyc Pre Calculus 26 Sept. 2014 An Imaginary Tale: The Story of of i [the square root of minus one] An imaginary tale is the story of the square root of minus one, a number we find described as "impossible" or "imaginary". Nahin's historical and mathematical explanation of complex numbers and functions stretches across two millennia. The square root of minus one was such an unlikely concept for early mathematicians that they ignored it.…

    • 766 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Some may say mathematics aren’t all that important. There are actually thousands of different jobs that require some knowledge of mathematics. Without mathematics you wouldn’t that there is a big difference between $100 and $1,000. Although mathematics is used in everyday life, some may say creating games was way more important than anything. For others, the creation of games may be more important because that may be all they do, all day long. While that may be true, in someone else’s opinion math helped change the world for the better. Why for the better? Because math has brightened the future. A thousand years before Europeans made significant advances in the field, scholars in Muslim civilization were creating new mathematical…

    • 608 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Greeks such as Socrates, Plato, and Aristotle created mathematics and geometry. These discoveries are incorporated in almost everything we use today for example, how something is made or how we cook.…

    • 1628 Words
    • 7 Pages
    Good Essays
  • Good Essays

    Muslims advanced the study of mathematics. They borrowed and based their ideas from ancient Babylon, India, and Greece. Scholars in Baghdad’s House of Wisdom translated the works of the Greek mathematician Euclid, as well as India’s important texts. Then they adapted what they learned and added their own contributions. Algebra originated in an Arabic phrase meaning "the reunion…

    • 718 Words
    • 3 Pages
    Good Essays
  • Good Essays

    For a civilization thriving in the years of B.C.E, they were almost incomprehensibly advanced. The Greeks started inventing mathematical formulas as early as the sixth century B.C. Ever since then they have been influencing architects…

    • 380 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Global Golden Age

    • 525 Words
    • 3 Pages

    The Gupta Dynasty did, however, advance very much in mathematics. They came up with the concept of zero and the decimal system. Arabic numerals were also created by the Gupta people. Athens also advanced in mathematics in a more complex way. Hellenistic thinkers came up with the Pythagoras which is used to calculate the relationship between the sides of a right triangle. Euclid wrote a book called The Elements that deals with different math equations and formulas.…

    • 525 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Later came the Pythagoreans who followed Pythagoras, the Father of Numbers. He said that the basis for everything was numbers. His idea was that everything could be broken down into numbers. If a volcano were to explode or a fire was to destroy a town Pythagoras believed that it was because of numbers. His idea is still being used today by scientists, mathematicians, and even higher level algebra students as he later created the Pythagoras theorem.…

    • 1728 Words
    • 7 Pages
    Good Essays
  • Good Essays

    The reason behind this is due to “untold numbers of students failing algebra” (2012). He claimed that “requiring algebra tends for students to hate mathematics” due to the numerous times retaking this class until they eventually dropout (2012). Society tends to dislike concepts they do not understand and if the students are not well prepared to take algebra, they might even quit college. Nevertheless, Hacker’s research indicates that “our society would collapse without mathematics” (2012). There is a vital need for improvement in our frontiers by using proper “algebraic algorithms” found in movies, investments, and airline tickets prices, which need to be solved (Hacker, 2012). Hacker’s research also states that “mathematics sharpens our minds” and improves our intellectual capacities. However, from his point of view, instead of requiring algebra courses, colleges must consider “quantitative reasoning” classes instead…

    • 824 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    The Ancient Greek culture has had such an impact on the world that no matter…

    • 2195 Words
    • 9 Pages
    Powerful Essays
  • Better Essays

    “Is mathematics discovered or invented?” To commence with this essay, we must first understand a few key words used in this statement and question. ‘Mathematics’ is generally believed to be the body of knowledge centered on concepts such as quantity, structure, space, and change, and also the academic discipline that studies them. Whereas ‘discover’ and ‘invent’ means to find information, a place or an object, especially for the first time and to design or create something which has never been made before respectively. Therefore this question can be rephrased. The body of knowledge centered on concepts such as quantity, structure, space, and change is being found or created?…

    • 1212 Words
    • 5 Pages
    Better Essays
  • Good Essays

    Father of Algebra

    • 556 Words
    • 3 Pages

    In the source, Shawn Overbay writes a biography on The Father of Algebra, Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source, the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician, he was also an inventor, an Astronomer, and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab Al-Jabr Wal-Muqabala, the oldest Arabic works on algebra. Comparing the visual source and the written source helps historians understand how our modern day mathematics was born and how they played a role in the 9th Century. These sources enhance the understanding of algebraic equations and arithmetic that was used in the 9th century and how it is still used in the modern day era.…

    • 556 Words
    • 3 Pages
    Good Essays