MATH 274 Midterm: MATH274 BOYLE-M FALL2007 0101 MID SOL 4
15 Feb 2019
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Contributed to analytic geometry and compu- tation of tangent slopes (and more). Not to quantum mechanics: (15 points) napier created the rst important table of logarithms, in a 1614 book. Briggs succeeded him and created a more useful table of logarithms, which was used for centuries. Briggs" table was more useful because it was a log base 10 table. Napier had tabulated a function we would describe as f (x) = rln(r/x), with r = 10, 000, 000. Fermat (1601-1655) is a frenchman remembered for contributions to number theory (e. g. fermat"s little. Frenchman who contributed to probability and projective geometry, developed identities involving pascal"s triangle and did work on area important to leibniz"s realization of the connection between the area and tangent problems: (10 points) x4 + 1 = (x2. 2x + 1)(x2 + 2x + 1): (15 points) very schematically: newton"s approach to calculus was oriented to motion and distance, and leibniz was oriented to sums and di erences.
