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A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebr… Read more
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1. Introduction2. What This Book Is about and Who This Book Is for3. Proof and Intuition4. The Integers5. Rational Numbers and the Real Numbers6. The Complex Numbers7. The fundamental Theorem of Algebra8. The Integers Modulo n9. Group Theory10. Polynomials over the Integers and Rationals11. Roots of Polynomials of Degree Less than 512. Rational Values of Trigonometric Functions13. Polynomials over Arbitrary Fields14. Difference Functions and Partial Fractions15. An Introduction to Linear Algebra and Vector Spaces16. Degrees and Galois Groups of Field Extensions17. Geometric Constructions18. The Insolvability of the Quintic19. Bibliography20. Index
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