Re: I'd like suggestions on how to improve my math
- From: ivandmeir@xxxxxxxxxxx
- Date: 21 Jan 2007 09:44:49 -0800
Dear Sharon,
I started being very interested in mathematics at a similar age to you.
I would suggest that perhaps you don't look too hard at the things
like the epsilon and delta side of things. It's better, I believe to
intially forget too much about rigour and concentrate on reading as
widely as you can about general mathematics and science, in particular
physics, while starting to develop your problem solving skills with
some tough problems! There are also some areas of maths which you can
look at without too much prior knowledge like combinatorics, plane
geometry, elementary number theory and which, require just as much and
perhaps more ingenuity to master than the more abstract parts of maths.
The book by Terence Tao - "solving mathematical problems" is pretty
good fun and would introduce you to some new problems, ideas and
techniques. The most important thing to remember is that you do maths
for yourself, whatever you create is your own - then you can truely
think outside the box and hopefully find some new ideas and new
approaches to existing questions. Learn from your teachers, text-books
and then find your own understanding and methods - they may be
unorthodox but that is a good thing!
Most of all, good luck and have fun. If I think of any more specific
suggestions then I will pass them on.
Ivan
nicegirl_130@xxxxxxxxx wrote:
Hello
I'm 15, like Math and try to study on my own more than required by
school. At first, I got very interested in integers and prime numbers,
and a problem I could solve and made my day was to prove that, if a>0
is an integer and p>3 is a prime, then a^p - a is divisible by 6p and,
if a is odd, divisible by 12 p. I studied, at elementary level, groups,
rings and fields.
But then I studied a bot more the rationals and irrationals, gor very
interested in things like the construction of the real line and complex
numbers. On my own I studied something about limits and continuity, and
I think I could understand their epsilon- delta definitions, specially
after a teacher explained it to me as an epsilon- delta game. So I got
very interested in Analysis and would like to study more, but don't
know what steps I should follow, because I do everything almost by
myself and without guidance.
So, I'd like suggestions on how I can carry on with math.
Thank you very much.
Sharon
.
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- From: nicegirl_130
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