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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