Solving the Quintic with Mathematica

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Solving the Quintic

• The impossibility of solving general quintics in radicals
• Tschirnhaus's transformation
• Klein's approach to the quintic
• Solutions based on series
• Solutions based on differential equations
• Equations of higher degree

• Quadratic equation
• Cubic equation
• Quartic equation
• Quintic equation
• The program
• An example

• 15th Century
• 16th Century
• 17th Century
• 18th Century
• 19th Century
• 20th Century

Theta Functions

Riemann Surface

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