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Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.
Topics on Calculus at PlanetMath. Calculus Made Easy (1914) by Silvanus P. Thompson Full text in PDF; Calculus.org: The Calculus page at University of California, Davis – contains resources and links to other sites; COW: Calculus on the Web at Temple University - contains resources ranging from pre-calculus and associated algebra
Plaque for Thompson, sponsored by the Institute of Physics, on the front of the main building at Bootham School, York.. Thompson wrote many books of a technical nature particularly Elementary Lessons in Electricity & Magnetism (1881 [14]), Dynamo-electric Machinery (1884) and the classic Calculus Made Easy which was first published in 1910, and is still in print.
Topics on Calculus at PlanetMath. Calculus Made Easy (1914) by Silvanus P. Thompson Full text in PDF; Calculus on In Our Time at the BBC; Calculus.org: The Calculus page at University of California, Davis – contains resources and links to other sites; Earliest Known Uses of Some of the Words of Mathematics: Calculus & Analysis
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals .
In mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic .
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