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A Concrete Approach is Abstract Algebra
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  • A Concrete Approach is Abstract Algebra
ID: 169969
Jeffrey Bergen
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A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects, such as integers, real numbers, complex numbers, complex conjugation and polynomials. introduce and motivate advanced concepts in algebra. Al ar al The many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar many ar. The final four chapters present for the graduate study.






  • Presents a more natural 'rings first' approach to the lessons of the abstract algebra

  • Bridges the gap for students

  • Builds on relatively familiar material (Integers, polynomials) and moves to more.

  • Exercises provide a balanced blend of difficulty levels




Introduction; What This Book Is about and Proof and Intuition; The Integers; Rational Numbers and the Real Numbers; The Complex Numbers; The fundamental Theorem of Algebra; The Integers Modulo n; Group Theory; Polynomials over the Integers and Rationals; Roots of Polynomials of Degree Less than 5; Rational Values of Trigonometric Functions; Polynomials over Arbitrary Fields; Difference Functions and Partial Fractions; An Introduction to Linear Algebra and Vector Spaces; Degrees and Galois Groups of Field Extensions; Geometric Constructions; The Insolvability of the Quintic; Bibliography; index

169969

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