A Concrete Approach to Abstract Algebra
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Book Overview
Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school-level algebra. Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite arithmetic, an analogy between integers and polynomials, an application of the analogy, extending fields, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields regarded as vector spaces. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Exercises appear throughout the book, with complete solutions at the end.
Format:Paperback
Language:English
ISBN:0486824616
ISBN13:9780486824611
Release Date:August 2018
Publisher:Dover Publications
Length:240 Pages
Weight:0.40 lbs.
Dimensions:0.6" x 5.5" x 8.4"
Customer Reviews
1 rating
Good for practical applications, not for math majors
Published by Lilith , 1 year ago
Nice and quick read to get a good understanding of the base concepts in abstract algebra, not hard to understand at all, could be given to a middle schooler and read without issue. If you are looking to prepare for an abstract algebra course, however, you’re better off with something that goes more in depth into the course.
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