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On the Nature of Numerical and Analytical Methods...

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goldfan

playing an ish game
I have now completed my first Year of my A-Levels (Well 6 weeks or so ago), the subjects that I am studying are Maths, Further Maths, Physics and Religious Studies. I have recently first come across a number of Numerical Methods for solving problems. In my GCSE years I did Trial and Improvement, a version of Decimal Search, which is hardly Rocket Science. In normal maths this year I have studied the Trapezium Rule for finding estimates for Integrals, and I have studied methods for estimating the solutions to Mathematical equations, such as the Newton Raphson method, and Linear Interpolation. And then for finding a point on the curve using Eulers Step-by-Steep Method.

Although they work, I am thoroughly put off by the thought of Numerical methods and the question that I have to ask is this. In today's modern Mathematical World, how much are Numerical Methods used, and how much are anallytical Methods use, and what would I mostly be using in a mathematical career. Obviously Numerical Methods are not the end of my Maths world, I still love the subject either way, but how common are they.

Of and feel free to discuss anything else on the Nature of Numerical and Analytical Methods. A good old Maths-Debate is always fun ;) (Pun aside i really am being serious!)

~ Gold
 

Profesco

gone gently
I'm sorry, goldfan, but if you're looking for a debate, the Debate forum would suffice. Otherwise, this topic looks like it belongs in The Questions Thread.
 
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