Abstract Algebra (Innbundet)

A Comprehensive Introduction

Serie: Cambridge Mathematical Textbooks 



Forfatter: og
Innbinding: Innbundet
Utgivelsesår: 2021
Antall sider: 638
Forlag: Cambridge University Press
Språk: Engelsk
ISBN/EAN: 9781108836654
Omtale Abstract Algebra
Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Groebner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.

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