A First Course in Abstract Algebra
Rings, Groups and Fields 2nd Revised edition
First Course in Abstract Algebra by Marlow Anderson
Book DescriptionMost 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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Book DetailsISBN: 9781584885153
(235mm x 156mm x 36mm)
Imprint: CRC Press Inc
Publisher: Taylor & Francis Inc
Publish Date: 27-Jan-2005
Country of Publication: United States
Books By Author Marlow Anderson
Who Gave You the Epsilon?, Hardback (March 2009)
Follows on from Sherlock Holmes in Babylon to take the history of mathematics through the nineteenth and twentieth centuries.
Sherlock Holmes in Babylon, Hardback (October 2004)» View all books by Marlow Anderson
Collection of essays on the history of mathematics by distinguished authorities.
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