9781584885153-1584885157-A First Course in Abstract Algebra: Rings, Groups and Fields, Second Edition

A First Course in Abstract Algebra: Rings, Groups and Fields, Second Edition

ISBN-13: 9781584885153
ISBN-10: 1584885157
Edition: 2
Author: Marlow Anderson, Todd Feil
Publication date: 2005
Publisher: Chapman and Hall/CRC
Format: Hardcover 696 pages
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Book details

ISBN-13: 9781584885153
ISBN-10: 1584885157
Edition: 2
Author: Marlow Anderson, Todd Feil
Publication date: 2005
Publisher: Chapman and Hall/CRC
Format: Hardcover 696 pages

Summary

A First Course in Abstract Algebra: Rings, Groups and Fields, Second Edition (ISBN-13: 9781584885153 and ISBN-10: 1584885157), written by authors Marlow Anderson, Todd Feil, was published by Chapman and Hall/CRC in 2005. With an overall rating of 3.6 stars, it's a notable title among other Pure Mathematics (Mathematics) books. You can easily purchase or rent A First Course in Abstract Algebra: Rings, Groups and Fields, Second Edition (Hardcover) from BooksRun, along with many other new and used Pure Mathematics books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.65.

Description

Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there is more natural-and ultimately more effective.

Authors Anderson and Feil developed A First Course in Abstract Algebra: Rings, Groups and Fields based upon that conviction. The text begins with ring theory, building upon students' familiarity with integers and polynomials. Later, when students have become more experienced, it introduces groups. The last section of the book develops Galois Theory with the goal of showing the impossibility of solving the quintic with radicals.

Each section of the book ends with a "Section in a Nutshell" synopsis of important definitions and theorems. Each chapter includes "Quick Exercises" that reinforce the topic addressed and are designed to be worked as the text is read. Problem sets at the end of each chapter begin with "Warm-Up Exercises" that test fundamental comprehension, followed by regular exercises, both computational and "supply the proof" problems. A Hints and Answers section is provided at the end of the book.

As stated in the title, this book is designed for a first course--either one or two semesters in abstract algebra. It requires only a typical calculus sequence as a prerequisite and does not assume any familiarity with linear algebra or complex numbers.

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