## 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 axiom 70 belongs blue system calculating machine chapter class containing complex numbers consider constant polynomial corresponds course cubic cubic equation defined definition dimensions over F displacement divided earlier elementary algebra elements of F equa equal example fact field axioms field F form a basis gives Hence inches East instance integers irreducible polynomial isomorphic label leave remainder linear expressions linearly independent mathematics means ments metic mixture modular arithmetics natural numbers negative numbers nomial non-zero obtain occurs odd number operations ordinary arithmetic plane poly possible prime procedure proof properties prove question rational coefficients rational numbers real numbers result satisfies an equation screws sequence simpler solution square root standard form statement structure substitute subtract Suppose symbol theorem things three vectors tion vector space whole number write zero vector