Essay Post Blog Album Group User # ANGLO INVENTIONS - !!! [Copy link] 中文 分享按钮   Post time 2010-1-31 06:09:10 |Display all floors
 Not an invention but a great discovery: Calculus-Isaac Newton.   Post time 2010-1-31 09:48:21 |Display all floors

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No Virgin Girl in America

American can not live without SEX.   Post time 2010-1-31 09:50:35 |Display all floors
 The Greek mathematician Archimedes was the first to find the tangent to a curve, other than a circle, in a method akin to differential calculus. While studying the spiral, he separated a point's motion into two components, one radial motion component and one circular motion component, and then continued to add the two component motions together thereby finding the tangent to the curve. The Indian mathematician-astronomer Aryabhata in 499 used a notion of infinitesimals and expressed an astronomical problem in the form of a basic differential equation. Manjula, in the 10th century, elaborated on this differential equation in a commentary. This equation eventually led Bhāskara II in the 12th century to develop the concept of a derivative representing infinitesimal change, and he described an early form of "Rolle's theorem". In the late 12th century, the Persian mathematician, Sharaf al-Dīn al-Tūsī, introduced the idea of a function. In his analysis of the equation x3 + d = bx2 for example, he begins by changing the equation's form to x2(b − x) = d. He then states that the question of whether the equation has a solution depends on whether or not the “function” on the left side reaches the value d. To determine this, he finds a maximum value for the function. Sharaf al-Din then states that if this value is less than d, there are no positive solutions; if it is equal to d, then there is one solution; and if it is greater than d, then there are two solutions. However, his work was never followed up on in either Europe or the Islamic world. Sharaf al-Dīn was also the first to discover the derivative of cubic polynomials. His Treatise on Equations developed concepts related to differential calculus, such as the derivative function and the maxima and minima of curves, in order to solve cubic equations which may not have positive solutions. For example, in order to solve the equation x3 + a = bx, al-Tusi finds the maximum point of the curve y = bx - x^3\,\!. He uses the derivative of the function to find that the maximum point occurs at \textstyle x = \sqrt{\frac{b}{3}}\,\!, and then finds the maximum value for y at \textstyle 2(\frac{b}{3})^\frac{3}{2}\,\! by substituting \textstyle x = \sqrt{\frac{b}{3}}\,\! back into y = bx - x^3\,\!. He finds that the equation bx - x^3 = a\,\! has a solution if \textstyle a \le 2(\frac{b}{3})^\frac{3}{2}\,\!, and al-Tusi thus deduces that the equation has a positive root if \textstyle D = \frac{b^3}{27} - \frac{a^2}{4} \ge 0\,\!, where D\,\! is the discriminant of the equation. In the 15th century, an early version of the mean value theorem was first described by Parameshvara (1370–1460) from the Kerala school of astronomy and mathematics in his commentaries on Govindasvāmi and Bhaskara II. In the 17th century, European mathematicians Isaac Barrow, Pierre de Fermat, Blaise Pascal, John Wallis and others discussed the idea of a derivative. In particular, in Methodus ad disquirendam maximam et minima and in De tangentibus linearum curvarum, Fermat developed a method for determining maxima, minima, and tangents to various curves that was equivalent to differentiation. Isaac Newton would later write that his own early ideas about calculus came directly from "Fermat's way of drawing tangents." The first proof of Rolle's theorem was given by Michel Rolle in 1691 after the founding of modern calculus. The mean value theorem in its modern form was stated by Augustin Louis Cauchy (1789-1857) also after the founding of modern calculus.
No Virgin Girl in America

American can not live without SEX.   Post time 2010-1-31 15:41:45 |Display all floors
 Leibnitz was a contender but it was shown that Newton did indeed discover calculus years before. Recommended reading for a novice like you Mechanic; ' A brief history of time'  Stephen Hawking :)   Post time 2010-1-31 21:13:50 |Display all floors
 Originally posted by St_George at 2010-1-31 15:41 Leibnitz was a contender but it was shown that Newton did indeed discover calculus years before. Recommended reading for a novice like you Mechanic; ' A brief history of time'  Stephen Hawking :) Do you actually know what calculus is, Anglo? Have you ever used it? And, are you saying that wiki is lying about the history of calculus OR CAN'T YOU READ, fool?
No Virgin Girl in America

American can not live without SEX.  Post time 2010-5-29 20:17:03 |Display all floors

## THE DRONE   Wahahaha Currently offline Registration time2010-3-18Last login2012-7-12Online time702 HourReading permission0Credits23699Post6786Digest0UID397383 Post time 2010-5-29 21:18:28 |Display all floors Reminder: Author is prohibited or removed, and content is automatically blocked
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