6 Polynomial approximation and interpolation
This chapter covers
- Understanding polynomials and their properties
- Using polynomial interpolation and approximation to describe continuous phenomena
- Understanding power series and their balance between speed and accuracy
- Circumventing the limitations of polynomials for data representation
A polynomial is the simplest mathematical object malleable enough to present the concepts of approximation and interpolation well. You have an approximation when you have a complex mathematical object and want to represent it approximately with a simpler one, such as when you want to find a linear function that represents 1000 data points or when you want to emulate a trigonometric function using only multiplications ...
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