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2. Elementary Calculus: An Infinitesimal Approach - Wikipedia

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

   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. The book is available freely online and is currently published by Dover. [1]

3. Elementary calculus - Wikipedia

   en.wikipedia.org/wiki/Elementary_calculus

   Elementary calculus may refer to: The elementary aspects of differential and integral calculus; Elementary Calculus: An Infinitesimal Approach, a textbook by Jerome ...

4. Howard Jerome Keisler - Wikipedia

   en.wikipedia.org/wiki/Howard_Jerome_Keisler

   Following Abraham Robinson's work resolving what had long been thought to be inherent logical contradictions in the literal interpretation of Leibniz's notation that Leibniz himself had proposed, that is, interpreting "dx" as literally representing an infinitesimally small quantity, Keisler published Elementary Calculus: An Infinitesimal ...

5. Criticism of nonstandard analysis - Wikipedia

   en.wikipedia.org/wiki/Criticism_of_nonstandard...

   Philip J. Davis wrote, in a book review of Left Back: A Century of Failed School Reforms [3] by Diane Ravitch: [4] There was the nonstandard analysis movement for teaching elementary calculus. Its stock rose a bit before the movement collapsed from inner complexity and scant necessity.

6. List of calculus topics - Wikipedia

   en.wikipedia.org/wiki/List_of_calculus_topics

   Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics

7. Nonstandard analysis - Wikipedia

   en.wikipedia.org/wiki/Nonstandard_analysis

   Much of the earliest development of the infinitesimal calculus by Newton and Leibniz was formulated using expressions such as infinitesimal number and vanishing quantity but these formulations were widely criticized by George Berkeley and others. The challenge of developing a consistent and satisfactory theory of analysis using infinitesimals ...