Introduction to Numerical Analysis

Brief introductory

Numerical Analysis are Mathematical Algorithms and Methods which help to find approximate yet accurate solutions to problems where the exact solution(s) is very hard or impossible to find.

for example \(x*\log{x}-1=0\), we can write this in a different way like this \(\log{x}=\frac{1}{x}\)

graphically solving this will give us one sole solution \(x \simeq 2.5\)

this is a fairly easy example, however.. this, won't really help a lot when it comes to far more complicated problems or one that needs as much accuracy as possible, here is where Numerical Analysis comes in.

using numerical analysis we can determine the solution more accurately using Numeric Algorithms rather than graphic one, this way we can Program the methods to determine the Approximate solution to our problem and let the computer do the rest.

Close Up

in the following papers we will showcase Algorithms then Write codes using Languages like C++ \ Python \ JS

References

• Some Examples were translated from my professor's course on Numerical Analysis Subject.