Contents Preface to the English Edition vii Prefaces to the German Editions ix Chapter 1. Cubic Equations 1 Chapter 2. Casus Irreducibilis: The Birth of the Complex Numbers 9 Chapter 3. Biquadratic Equations 23 Chapter 4. Equations of Degree n and Their Properties 27 The Fundamental Theorem of Algebra: Plausibility and Proof 32 Chapter 5. The Search for Additional Solution Formulas 37 Permutations 42 The Fundamental Theorem on Symmetric Polynomials 47 Ruffini and the General Equation of Fifth Degree 50 Chapter 6. Equations That Can Be Reduced in Degree 55
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