Tracts on Mathematical and Philosophical Subjects, Vol. 1 of 3: Comprising Among Numerous Important Articles, the Theory of Bridges, With Several Plans of Recent Improvement (Classic Reprint) - Softcover

Inhaltsangabe

Excerpt from Tracts on Mathematical and Philosophical Subjects, Vol. 1 of 3: Comprising Among Numerous Important Articles, the Theory of Bridges, With Several Plans of Recent Improvement

Tract vur is a new method for the valuation of numeral infinite series, that have their terms alternately plus and minus; which is performed by taking continual arithmetical means between the successive sums, and between the means a method by which the value or sum of any such series is very easily and quickly obtained.

Tract u is a method of summing the series a+br+ez' in the case when it converges very slowly, namely, when x is nearly equal to l, and the coefficients a, 6; C, 4, Sit, decrease very slowly; the signs of all the terms being plus or positive -a method which has been considered a great desideratum in infinite series.

Tract x contains the investigation of certain easy and general rules, for extracting any root out of a given number; exhibiting a general and very easy formula, to serve for all roots whatever.

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