Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number...

Robinson's infinitesimals include texts by Stroyan (dating from 1972) and Howard Jerome Keisler (Elementary Calculus: An Infinitesimal Approach). Students...

mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous...

The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard...

of calculus Generality of algebra Elementary Calculus: An Infinitesimal Approach Nonstandard calculus Infinitesimal Archimedes' use of infinitesimals For...

related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives of functions....

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

mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis...

formulation of the transfer principle is Keisler's book Elementary Calculus: An Infinitesimal Approach. Every real x {\displaystyle x} satisfies the inequality...

representing an infinitesimally small quantity, Keisler published Elementary Calculus: An Infinitesimal Approach, a first-year calculus textbook conceptually...