## A concrete approach to abstract algebra |

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### Contents

Introduction | 1 |

The Viewpoint of Abstract Algebra | 5 |

Arithmetics and Polynomials | 26 |

Copyright | |

11 other sections not shown

### Common terms and phrases

Accordingly answer apply arith arithmetic modulo Available in U.S. axiom 72 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 E. A. Wallis Budge elementary algebra elements of F example fact field axioms field F form a basis geometrical gives Hence illustrations inches East integers irreducible irreducible polynomial isomorphic label leave remainder linear expressions linearly dependent mathematics means ments metic mixture modular arithmetics multiplication natural numbers nomial obtain odd number operations ordinary arithmetic plane poly possible procedure proof properties prove quadratic question rational coefficients rational numbers real numbers result satisfies an equation screws sequence simpler solution square root standard form statement structure subtract Suppose symbol theorem things three vectors tion vector space whole number write