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  2. File:Calculus Made Easy.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Calculus_Made_Easy.pdf

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  3. Calculus Made Easy - Wikipedia

    en.wikipedia.org/wiki/Calculus_Made_Easy

    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.

  4. Outline of calculus - Wikipedia

    en.wikipedia.org/wiki/Outline_of_calculus

    Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education . Calculus has widespread applications in science , economics , and engineering and can solve many problems for which algebra alone is insufficient.

  5. Infinitesimal - Wikipedia

    en.wikipedia.org/wiki/Infinitesimal

    Infinitesimal numbers were introduced in the development of calculus, in which the derivative was first conceived as a ratio of two infinitesimal quantities. This definition was not rigorously formalized. As calculus developed further, infinitesimals were replaced by limits, which can be calculated using the standard real numbers.

  6. File:Calculus.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Calculus.pdf

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  8. Smooth infinitesimal analysis - Wikipedia

    en.wikipedia.org/wiki/Smooth_infinitesimal_analysis

    Smooth infinitesimal analysis is a modern reformulation of the calculus in terms of infinitesimals. Based on the ideas of F. W. Lawvere and employing the methods of category theory, it views all functions as being continuous and incapable of being expressed in terms of discrete entities. As a theory, it is a subset of synthetic differential ...

  9. Elementary Calculus: An Infinitesimal Approach - Wikipedia

    en.wikipedia.org/wiki/Elementary_Calculus:_An...

    Recently, Katz & Katz [8] give a positive account of a calculus course based on Keisler's book. O'Donovan also described his experience teaching calculus using infinitesimals. His initial point of view was positive, [9] but later he found pedagogical difficulties with the approach to nonstandard calculus taken by this text and others. [10]

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