Abstract Algebra - An Introductory Course Lee Gregory T.Paperback
Abstract Algebra - An Introductory Course Lee Gregory T.Paperback This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and…
Specifikacia Abstract Algebra - An Introductory Course Lee Gregory T.Paperback
Abstract Algebra - An Introductory Course Lee Gregory T.Paperback
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. The first two chapters present preliminary topics such as properties of the integers and equivalence relations.
The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.Explaining key topics at a gentle pace, this book is aimed at undergraduate students. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.