## Modern Algebra: An IntroductionEngineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully. It introduces the most important kinds of algebraic structures, and helps them improve their ability to understand and work with abstract ideas. New and revised exercise sets are integrated throughout the first four chapters. A more in-depth discussion is also included on Galois Theory. The first six chapters provide engineers and computer scientists with the core of the subject and then the book explores the concepts in more detail. |

### What people are saying - Write a review

#### LibraryThing Review

User Review - jcopenha - LibraryThingUnfortunately my class didn't get to any of the good applications of Abstract Algebra. We covered group theory and Rings and Fields. I might browse some of the other chapters this summer. Read full review

#### LibraryThing Review

User Review - capttwinky - LibraryThinga very basic introduction to abstract algebra and almost a complete waste of money. Fraleigh's book covers much more material in a clearer manner at less cost. I hated using this as a textbook and am still fuming over having to buy it. Read full review

### Contents

JWCL083FM | xiv |

I | xxiii |

II | xliv |

III | 12 |

IV | 75 |

V | 106 |

xii | 120 |

VII | 137 |

X | 193 |

XI | 207 |

XII | 229 |

Solvable and Alternating Groups | 237 |

Applications of Permutation Groups | 243 |

XV | 256 |

Lattices and Boolean Algebras | 279 |

C | 304 |

### Other editions - View all

### Common terms and phrases

Abelian addition algebra applied associative Assume called CHAPTER commutative Compare complete composition condition congruence Consider Construct contains Corollary corresponding cyclic defined definition denote Determine Division element equal equation equivalence relation Example exists extension fact factor field Figure Find finite Galois given gives group G group of order homomorphism ideal ideas identity element implies important integral domain INTRODUCTION inverse irreducible isomorphism JWCL083-Durbin-v2 November lattice least Lemma mapping mathematics matrix mean multiplication nonzero normal notation Notice one-to-one operation permutation plane polynomial positive integer prime Problem proof proof of Theorem properties Prove quotient rational numbers real numbers representatives respect ring root rotation SECTION solution solvable splitting field statement subfield subgroup subgroup of G subset Suggestion symmetry Theorem theory true unique unity Verify write zero