Ever wonder how your calculator is able to graph or find the roots of complex functions?? Well chances are, that your calculator either uses Newton's Method or a variation of Newton's Method. Note also that this method is sometimes called the Newton-Raphson Method.
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Newton's Method of Linear Approximation - Introduction
Newton-Raphson Method
- The Norwegian mathematician Niels Abel proved in 1824 that no general formula can be given for the roots of a fifth-degree equation in terms of radicals.
- Later the French mathematician Evariste Galois proved that it is impossible to find a general formula for the roots of an nth-degree equation (in terms of algebraic operations on the coefficients) if n is any integer larger than 4.
