Elementary Set Theory by Leung K

By Leung K

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In this same letter, he also conveyed his ideas about the motion of freely falling bodies and gave two examples of a method that he had devised to find the maximum point on a parabola. When Mersenne requested further details about his methods, Fermat sent him the manuscript Methodus ad disquirendam maximam et minimam (Method for determining maxima and minima). This work explained his techniques for finding the highest and lowest points on a curve, the points that in modern terminology are known as local extrema or local maximums and minimums.

F. Robertson. “François Viète,” MacTutor History of Mathematics Archive, University of Saint Andrews. Available online. html. Accessed June 3, 2005. Online biography, from the University of Saint Andrews, Scotland. 3 John Napier (1550–1617) John Napier published the first table of logarithms that simplified the process of computation. (Library of Congress) Coinventor of Logarithms The amateur Scottish mathematician John Napier (pronounced NAY-pee-yur) simplified the process of computation when he published the first table of logarithms.

Solving the right triangles with the help of trigonometric tables efficiently produced the solution to the original cubic equation. The fourth technique Viète used to solve cubic equations showed his deep understanding of the direct relationships that existed between coefficients and roots. For cubic equations of the form x3 – ax2 + bx – c = 0 with roots r1, r2, and r3, he showed that the three coefficients and the three roots had to satisfy the equations a = r1 + r2 + r3, b = r1r2 + r1r3 + r2r3 and c = r1r2r3.

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