A Concrete Approach to Abstract Algebra |
Contents
Introduction | 1 |
The Viewpoint of Abstract Algebra | 5 |
Arithmetics and Polynomials | 26 |
Copyright | |
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Abstract Algebra 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 elementary algebra elements of F example fact field axioms field F form a basis geometrical gives Hence inches East integers irreducible irreducible polynomial isomorphic label leave remainder linear expressions linearly independent mathematics means ments metic mixture modular arithmetics modulo x² multiplication natural numbers nomial obtain odd number operations ordinary arithmetic P₁ plane poly possible procedure proof properties prove quadratic question rational coefficients rational numbers real numbers residue classes result satisfies an equation screws sequence simpler solution square root standard form statement structure subtract Suppose symbol things tion vector space whole number write