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
228 57 15MB
English Pages 234 pages; 22 cm Year 2018
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.
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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