Newton's Method of Linear Approximation - Introduction

in MES Science2 months ago (edited)

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's Method of Linear Approximation.jpg

Newton-Raphson Method

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  • 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.

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