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Arithmetic is Algebra Backwards

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Author:John Hays
Description: A series of essays, including: Deriving integers as vectors of Naturals; rationals, vectors of integers; reals as infinite vectors of rationals by adjoining transfinite operation of LIMIT to arithmetic finite operations; complex numbers as vector of reals (in Hamilton format, but use Oystein Ore's "modul" notion to show that 2nd part divorced from 1st freezing vector form); leading to "Arithmetic of Clifford Numbers".

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Algebra, History and Biography

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