Practical Applications of Numerical Methods in Python

This document presents a practical Python implementation of three fundamental numerical analysis techniques:

Newton's Forward Interpolation Method — estimates the value of a function at a specific point within the range of given data points, with worked examples.

Trapezoidal Rule — approximates the definite integral of a function using discrete data points, offering better accuracy than the rectangular rule through linear interpolation.

Forward Difference Operator — computes successive differences (Δ, Δ², Δ³, etc.) of a function's values to analyze how the function changes as x increases by a fixed step h.