Abstract Algebra

An Introductory Course

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Abstract Algebra by Gregory T. Lee, Springer International Publishing
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Author: Gregory T. Lee ISBN: 9783319776491
Publisher: Springer International Publishing Publication: April 13, 2018
Imprint: Springer Language: English
Author: Gregory T. Lee
ISBN: 9783319776491
Publisher: Springer International Publishing
Publication: April 13, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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