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Full-Text Articles in Physical Sciences and Mathematics
The Major Contribution Of Leibniz To Infinitesimal Calculus, Carolyn Rhodes
The Major Contribution Of Leibniz To Infinitesimal Calculus, Carolyn Rhodes
Honors Theses
A study of the work of Leibniz is of importance for at least two reasons. In the first place, Leibniz was not alone among great men in presenting in his early works almost all the important mathematical ideas contained in his mature work, In the second place, the main ideas of his philosophy are to be attributed to his mathematical work, not vice versa. He was perhaps, the earliest to realize fully and correctly the important influence of a calculus on discovery. The almost mechanical operations which one goes through when one is using a calculus enables one to discover …
The Development Of The Calculus, Janie Ferguson
The Development Of The Calculus, Janie Ferguson
Honors Theses
The Greeks made the first step in the inquiry of the infinitely small quantities by an attempt to determine the area of curves. The method of exhaustions they used for this purpose consisted of making the curve a limiting area, to which the circumscribed and inscribed polygons continually approached by increasing the number of their sides. The area obtained was considered to be the area of the curve. The method of integration is somewhat similar, to the extent that it involves finding the limits of sums. Zeno of Elea (c. 450 B.C.) was one of the first to work with …
Nomography, Scotty Andrews