A Concrete Approach to Abstract Algebra |
Contents
Introduction | 1 |
Arithmetics and Polynomials | 55 |
Finite Arithmetics | 71 |
Copyright | |
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Accordingly answer apply arith arithmetic modulo ax² axiom 12 belongs blue system calculating machine chapter class containing complex numbers consider constant polynomial construction corresponds course cubic cubic equation defined definition dimensions over F displacement divided division element of F elementary algebra example fact field axioms field F form a basis form a field geometrical gives Hence inches East integers irreducible irreducible polynomial isomorphic label leave remainder linear expressions linearly dependent mathematics means ments metic mixture modular arithmetics multiply natural numbers nomial obtain odd number operations ordinary arithmetic P₁ P₂ plane poly possible procedure proof properties prove quadratic question rational coefficients rational numbers real numbers result screws sequence simpler solution square root standard form statement structure subtract Suppose symbol theorem things three vectors tion vector space whole number write zero vector