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portada Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series)
Type
Physical Book
Publisher
Year
2018
Language
English
Pages
301
Format
Paperback
ISBN13
9783319776484
Categories

Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series)

Gregory T. Lee (Author) · Springer · Paperback

Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series) - Gregory T. Lee

Physical Book

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Synopsis "Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series)"

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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The book is written in English.
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