**by Gregory T. Lee**

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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. ### Book Details

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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).

Subject

Science and Mathematics

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

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