A concrete approach to abstract algebra [Dover edition 2018 edition] 2018012819, 9780486824611, 0486824616

Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of tradit

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English Pages 234 pages; 22 cm Year 2018

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A concrete approach to abstract algebra [Dover edition 2018 edition]
 2018012819, 9780486824611, 0486824616

Table of contents :
Introduction --
The viewpoint of abstract algebra --
Arithmetics and polynomials --
Finite arithmetics --
An analogy between integers and polynomials --
An application of the analogy --
Extending fields --
Linear dependence and vector spaces --
Algebraic calculations and vectors --
Vectors over a field --
Fields regarded as vector spaces --
Trisection of an angle --
Answers to exercises.

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