Abstract Algebra: A Comprehensive Introduction

ISBN-13: 9781108836654 / Angielski / Twarda / 2021 / 638 str.

John W. Lawrence; Frank A. Zorzitto

Opis

A lucid guide to abstract algebra, this comprehensive textbook provides in depth coverage for upper undergraduate students.

Recenzje

'Lawrence and Zorzitto's treatment of Abstract Algebra is lucid and thorough. I am particularly pleased to see the inclusion of Gröbner basis theory in a way that is accessible to introductory students, as it makes possible the exploration of polynomial ideals to great depth.' Jeffrey Clark, Elon University

Spis treści

Contents; Preface; 1. A refresher on the integers; 2. A first look at groups; 3. Groups acting on sets; 4. Basics on rings-mostly commutative; 5. Primes and unique factorization; 6. Algebraic field extensions; 7. Applications of galois theory; 8. Modules over principal ideal domains; 9. Division algorithms; Appendix A: Infinite sets.