| Abstract Algebra: An Introductory Course 2018 Edition Contributor(s): Lee, Gregory T. (Author) |
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ISBN: 3319776487 ISBN-13: 9783319776484 Publisher: Springer OUR PRICE: $36.09 Product Type: Paperback - Other Formats Published: April 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
| Dewey: 512.2 |
| Series: Springer Undergraduate Mathematics |
| Physical Information: 0.66" H x 6.14" W x 9.21" (0.98 lbs) 301 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |