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· 제목 : A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic (Hardcover) (From the Integers to the Insolveability of the Quintic)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 추상대수학
· ISBN : 9780123749413
· 쪽수 : 722쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 추상대수학
· ISBN : 9780123749413
· 쪽수 : 722쪽
목차
Introduction; What This Book Is about and Who This Book Is for; 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
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