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(Ebook) A First Course in Abstract Algebra: Rings, Groups, and Fields: Second Edition by Marlow Anderson, Todd Feil ISBN 9781584885153, 1584885157

  • SKU: EBN-4590384
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Instant download (eBook) A First Course in Abstract Algebra: Rings, Groups, and Fields: Second Edition after payment.
Authors:Marlow Anderson, Todd Feil
Pages:345 pages.
Year:2005
Editon:2
Publisher:CRC Press / Chapman and Hall; Taylor & Francis Group, LLC
Language:english
File Size:22.62 MB
Format:pdf
ISBNS:9781584885153, 1584885157
Categories: Ebooks

Product desciption

(Ebook) A First Course in Abstract Algebra: Rings, Groups, and Fields: Second Edition by Marlow Anderson, Todd Feil ISBN 9781584885153, 1584885157

[2 pages per pdf page]

Main subject categories: • Abstract Algebra • Rings • Groups • Fields • Domains • Homomorphisms • Ideals • Vector Spaces • Field Extensions • Galois Theory

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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