What is the use of numerical analysis and why you have to study?

Answer 1

Numerical analysis has numerous applications in all fields of science and some fields of engineering, and essentially any type of work that requires calculations to give very precise solutions.

The point of numerical analysis is to analyse methods that are used to give approximate number solutions to situations where it is unlikely to find the real solution quickly, and to try and improve upon these methods so as to reduce the amount of error generated by computer calculation.

It is essential in work that requires precise numbers to get very good approximations with very little error in them, if approximations with just even 1 or 2% error are used in another calculation, and the answer of that calculation used in another, and so on, the errors will build up and you end up with very unreliable numbers. This is why it is a good idea to study numerical anlysis if you intend to go into any area of work requiring precise calculations, so as to be able to identify if there are areas you can improve so as to better your methods in finding solutions and reducing error.