• Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number...
    13 KB (1,371 words) - 18:08, 31 March 2024
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    Robinson's infinitesimals include texts by Stroyan (dating from 1972) and Howard Jerome Keisler (Elementary Calculus: An Infinitesimal Approach). Students...
    37 KB (5,086 words) - 17:42, 25 May 2024
  • mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous...
    25 KB (3,979 words) - 10:27, 2 September 2024
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    The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard...
    31 KB (3,972 words) - 11:12, 2 September 2024
  • of calculus Generality of algebra Elementary Calculus: An Infinitesimal Approach Nonstandard calculus Infinitesimal Archimedes' use of infinitesimals For...
    4 KB (389 words) - 12:14, 10 February 2024
  • related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives of functions....
    26 KB (3,903 words) - 11:58, 11 September 2024
  • Elementary calculus may refer to: The elementary aspects of differential and integral calculus; Elementary Calculus: An Infinitesimal Approach, a textbook...
    214 bytes (55 words) - 10:03, 28 December 2019
  • mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis...
    73 KB (8,584 words) - 14:06, 3 September 2024
  • formulation of the transfer principle is Keisler's book Elementary Calculus: An Infinitesimal Approach. Every real x {\displaystyle x} satisfies the inequality...
    18 KB (2,700 words) - 20:48, 30 May 2024
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    Leibniz's notation (category Mathematics of infinitesimals)
    first-year calculus textbook, Elementary calculus: an infinitesimal approach, based on Robinson's approach. From the point of view of modern infinitesimal theory...
    22 KB (2,889 words) - 12:58, 8 March 2024