Abstract Algebra (Hardcover) (ISBN-13: 9781108836654)

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 Gr bner 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.

Author: John W. Lawrence, Frank A. Zorzitto
ISBN-10: 1108836658
ISBN-13: 9781108836654
Publisher: Cambridge University Press
Language: English
Published: 04/15/2021
Pages: 638
Format: Hardcover
Weight: 3.30lbs
Size: 9.80h x 7.70w x 1.30d