Dear Friends,
Hi!
I am planning to prove a Theorem. The best part is that I already know
the Theorem, but, before I sit with it using my pencil and paper and
create a fair work. I would prefer going ahead and doing a homework.
The homework I plan to undertake is work out an art by which one
learns how to exactly prove a Theorem and say he has the minimum
resources that are needed and or required by a Theorem.
Is their something as this a form opf homeweork that I am looking for availaible. |
Clarification of Question by
choudhary-ga
on
26 Jun 2004 03:37 PDT
Dear Friend,
This work would be a work that would continue and or require
discussion for a few days, and hence I would be glad if you keep this
homework also with you for pertaining to the homework further
questions would be posed. For the realwork is something much more than
just a Theorem and does involve higher mathematics.
Thanking You,
For your effort,
Choudhary...
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Request for Question Clarification by
mathtalk-ga
on
26 Jun 2004 10:47 PDT
Hi, choudhary-ga:
I get the impression that you would like someone, for the list price
posted, to pose a homework problem involving proving a mathematical
theorem.
To help in selecting an appropriate challenge for you, perhaps you
would kindly advise us what educational background in mathematics you
have, so that the chosen theorem will be neither too hard or too easy
to prove.
regards, mathtalk-ga
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Clarification of Question by
choudhary-ga
on
26 Jun 2004 14:17 PDT
Dear Friend,
Sorry for the delay, infact your question is the best suited at the
moment. I have done my masters in chemical engineering. And, have a
CEM !! and follow George B Arfken. Well I do not want you to pose me a
homework problem in mathematics. But, help me land up on something
that could be called the minimum necessary Bible that one should have
so as to be an expert for proving any theorem say incase it exists for
the given condition, that comes in any area of mathematics. A classic
case that if we undertake for discussion here would be the Penrose -
Hawking theorem lets pick that up. There we formulate a strategy of
getting to the core art of proving a theorem. Remember I am looking
for the art of proving a theorem and just not looking for a theorem.
The price that would be given is hiked to $ 50 . So concluding what I
say is we devise an art of proving a theorem and call in the hawking
penrose theorem there and a few others their and observe their
outgrowth.
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Request for Question Clarification by
tox-ga
on
26 Jun 2004 18:51 PDT
Hi Choudhary,
If I am interpreting your question correctly, you are asking for a
general method by which to prove _any_ mathematical theorem or to at
least ascertain the minimum necessary information for proving any
theorem.
If this is correct, I can tell you now that this is not possible. In
fact, it has been proven impossible. Your question relates to the
work of Kurt Godel and his investigations into provability. Many
mathematicians have extended his work to reach very fascinating
conclusions. The ideas of Gregory Chaitin which relate to this are of
particular interest.
If you are still interested, a rich description of this intriguing
field, development, and its conclusions could be given as an answer.
If I have misinterpreted what you are asking for, please clarify.
Cheers,
tox-ga
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Request for Question Clarification by
tox-ga
on
26 Jun 2004 23:14 PDT
Upon another look, it seems that you also may be asking about the
general approach to mathematical proofs and resources from which one
can learn the art of writing proofs. Please indicate which, if any,
of my interpretations are accurate.
-- tox-ga
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Clarification of Question by
choudhary-ga
on
27 Jun 2004 01:08 PDT
Its okay for the time being.. I ll comment later I am busy at the moment ...
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