Arithmetic is Algebra Backwards
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John Hays  
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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