Abstract Algebra

An Introductory Course

by Gregory T. Lee

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Book Description

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. 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. 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. 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. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

This open book is licensed under a Creative Commons License (CC BY). You can download Abstract Algebra ebook for free in PDF format (2.6 MB).

Book Details

Publisher
Springer
Published
2018
Pages
297
Edition
1
Language
English
ISBN13
9783319776484
ISBN10
3319776487
ISBN13 Digital
9783319776491
ISBN10 Digital
3319776495
PDF Size
2.6 MB
License
CC BY

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