Preview

Newton Is the Father Os Calculus

Better Essays
Open Document
Open Document
1432 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Newton Is the Father Os Calculus
Like most discoveries, calculus was the culmination of centuries of work rather than an instant epiphany. Mathematicians all over the world contributed to its development, but the two most recognized discoverers of calculus are Isaac Newton and Gottfried Wilhelm Leibniz. Although the credit is currently given to both men, there was a time when the debate over which of them truly deserved the recognition was both heated and widespread. Evidence also shows that Newton was the first to establish the general method called the "theory of fluxions" was the first to state the fundamental theorem of calculus and was also the first to explore applications of both integration and differentiation in a single work (Struik, 1948). However, since Leibniz was the first to publish a dissertation on calculus, he was given the total credit for the discovery for a number of years. This later led, of course, to accusations of plagiarism being hurled relentlessly in the direction of Leibniz. It is also known that Leibniz and Newton corresponded by letter quite regularly, and they most often discussed the subject of mathematics (Boyer, 1968). In fact, Newton first described his methods, formulas and concepts of calculus, including his binomial theorem, fluxions and tangents, in letters he wrote to Leibniz (Ball, 1908). However an examination of Leibniz ' unpublished manuscripts provided evidence that despite his correspondence with Newton, he had come to his own conclusions about calculus already. The letters may then, have merely helped Leibniz to expand upon his own initial ideas. In 1669, he wrote a short manuscript on the method entitled De Analysi per Aequationes Infinitas (On analysis by Infinite Series), which he showed to a few people, including Isaac Barrow, the Lucasian Professor, who urged him to publish it. But, he would not agree. Why? ... because of his almost pathological fear of criticism. He wrote De Methodis Serierum et Fluxionum (On the methods of series and


Cited: Ball, Rouse. A Short Account of the History of Mathematics '. 4th edition, 1908 Boyer, Carl. A History of Mathematics: 2nd Edition. New York, New York: John Wiley and Sons, 1968 O 'Connor, John J. The Rise of Calculus. St Andrews, Scotland, 1996. Struik, Dirk. A Concise History of Mathematics. New York, New York: Dover Publications, Inc., 1948

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Mat 126 Week 2 Assignment

    • 413 Words
    • 2 Pages

    References: Bluman, A. G. (2011). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill.…

    • 413 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Mat 126 Week 2 Assignment

    • 529 Words
    • 3 Pages

    References: Bluman, A.G. (2005): Mathematics in Our World, (Ashford University Custom Edition). United States: McGraw-Hill…

    • 529 Words
    • 3 Pages
    Satisfactory 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
  • Good Essays

    James Nickel is the author of “Mathematics: Is God Silent?” He was born and raised on a farm in Dinuba, California. He earned his bachelor’s degree in mathematics and his master’s degree in education. He spent most of the late 70’s and 80’s teaching mathematics at a high school in Australia and Hawaii. During those years he not only taught mathematics, but he also spent a lot of time researching it. Aside from teaching, he was a mathematical analyst for the United States Navy.…

    • 754 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Reimer, Luetta, and Wilbert Reimer. “Mathematics at Midnight.” Mathematicians Are People, Too: Stories From The Lives of Great Mathematicians. Parsippany: Dale Seymour Publications. 1990. Print. 91-97.…

    • 690 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Eves, Howard Whitley, and Jamie H. Eves. An Introduction to the History of Mathematics. Philadelphia:…

    • 779 Words
    • 4 Pages
    Good Essays
  • Good Essays

    References: Bluman, A. G. (2005). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill.…

    • 681 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Calculus Sketch

    • 454 Words
    • 2 Pages

    When calculus was invented, has always been a question in Math. The first signs of calculus were done by Greek mathematicians. Zeno of Elea of about 450 B.C. gave a number of problems which were based on the infinite. His argument was that motion is impossible. Other Greek mathematicians that contributed to the method of exhaustion are Leucippus, Democritus and Antiphon. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more of the required area. Archimedes made one of the greatest contributions of the Greek. One advancement he made was to show that the area of a segment of a parabola is 4/3 the area of a triangle with the same base and vertex and 2/3 of the area of the circumscribed parallelogram. Archimedes also “invented” the volume and surface area of a sphere, the volume and area of a cone, the surface area of an ellipse, and the volume of any segment of a parabolic. No progress or advancements were made in calculus until the 17th century. One great mathematician that was born in Barsa, Persia is Abu Ali-Hasan ibn al-Haytham. He integrated a fourth-degree polynomial. In the 3rd century AD Liu Hui of China used the method of exhaustion in order to fin the area of a circle. In the 5th century AD Zu Chongzhi also used it to find the volume of a sphere. In the 12th century Bhaskara II of India developed an early derivative representing infinitesimal change and described an early form of “Rolle’s theorem”. Seki Kowa expanded the method of exhaustion in the early 17th century in Japan. In AD 1668 James Gregory provided a special case of the second fundamental theorem of calculus.…

    • 454 Words
    • 2 Pages
    Good Essays
  • Better Essays

    Doney Willis. The Cartesian circle. Journal of the History of ideas. Retrieved, November 4, 2010 from,…

    • 1107 Words
    • 5 Pages
    Better Essays
  • Best Essays

    Cited: Cohen, L B. The Birth of a New Physics. 2nd ed. New York: W.W. Norton & Company Inc., 1985. Print.…

    • 1850 Words
    • 8 Pages
    Best Essays
  • Good Essays

    Apollonius of Perga

    • 646 Words
    • 3 Pages

    Bibliography: 1. Boyer, Carl B. , The History of Analytic Geometry (1956) McGraw - Hill…

    • 646 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Mathematical Happening

    • 775 Words
    • 3 Pages

    Lewinter, M., & Widulski, W. (2002). The Saga Of Mathematics. Saddle River, NJ: Prentice Hall.…

    • 775 Words
    • 3 Pages
    Better Essays
  • Best Essays

    History of Trigonometry

    • 4574 Words
    • 19 Pages

    References: Boyer, Carl B. (1991), A History of Mathematics (Second ed.). John Wiley & Sons, Inc. 3…

    • 4574 Words
    • 19 Pages
    Best Essays
  • Good Essays

    Although Newton discovered the principles of calculus first - he did not publish them until many years after Leibniz did. Leibniz published his first paper employing calculus in 1684, but Newton did not publish his fluxion notation form of calculus until 1693, and a complete version was not available until 1704! Nonetheless, Newton still came to the discovery first - and although both men are officially credited, Newton is the one that most people remember.…

    • 533 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Calculus

    • 663 Words
    • 3 Pages

    Calculus, historically known as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series. Ideas leading up to the notions of function, derivative, and integral were developed throughout the 17th century, but the decisive step was made by Isaac Newton and Gottfried Leibniz. Publication of Newton's main treatises took many years, whereas Leibniz published first (Nova methodus, 1684) and the whole subject was subsequently marred by a priority dispute between the two inventors of calculus.…

    • 663 Words
    • 3 Pages
    Good Essays