Titlebook: A Concrete Introduction to Higher Algebra; Lindsay N. Childs Textbook 19952nd edition Springer Science+Business Media New York 1995 algebr

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Gaia or Knowledge without Spheresvailable in modern computational number theory. In this chapter we look at Euclid’s algorithm and its immediate consequences, analyze its speed, and, as an interesting aside, discuss a speculative connection between Euclid’s algorithm and classical Greek proofs that √n is irrational when . is not a

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https://doi.org/10.1007/978-1-349-15461-6 that if . is any subgroup of ., then the number of elements of . is a divisor of the number of elements of .. This famous result is called Lagrange’s theorem. Euler’s and Fermat’s theorems are easy consequences of Lagrange’s theorem.

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