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11 relations: Elementary Calculus: An Infinitesimal Approach, Floor and ceiling functions, Howard Jerome Keisler, Hyperreal number, Infinitesimal, Internal set, Non-standard analysis, Non-standard model of arithmetic, Thoralf Skolem, Transfer principle, Ultraproduct.
Elementary Calculus: An Infinitesimal Approach
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler.
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Floor and ceiling functions
In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).
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Howard Jerome Keisler
Howard Jerome Keisler (born 3 December 1936) is an American mathematician, currently professor emeritus at University of Wisconsin–Madison.
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Hyperreal number
The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.
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Infinitesimal
In mathematics, infinitesimals are things so small that there is no way to measure them.
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Internal set
In mathematical logic, in particular in model theory and non-standard analysis, an internal set is a set that is a member of a model.
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Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.
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Non-standard model of arithmetic
In mathematical logic, a non-standard model of arithmetic is a model of (first-order) Peano arithmetic that contains non-standard numbers.
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Thoralf Skolem
Thoralf Albert Skolem (23 May 1887 – 23 March 1963) was a Norwegian mathematician who worked in mathematical logic and set theory.
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Transfer principle
In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure.
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Ultraproduct
The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic.
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*N, *Z, Hyperintegers, Hypernatural, Hypernatural number, Nonstandard integer.
