Re: Most efficient method of performing math research


"quasi" <quasi@xxxxxxxx> wrote in message
news:spk5a39va8pm6t7ug1ef4ksejqj43arqcm@xxxxxxxxxx
On Sat, 21 Jul 2007 23:37:06 -0400, "Junior" <junior1@xxxxxxxxxxxxx>
wrote:

I have an engineering background, but I would like to request advice on
which is the most efficient way of doing mathematical proofs or commence
to
study a subject like wavelets.

In the past when I have studied a subject, I have done the usual read
books,
write equations in a notebook, and so on. However, I do not find that
writing in a notebook and then reviewing my notes is not a very efficient
way to do math. There is no logical continuity; if I learn a new fact
there
is no good way to add it to the original entries.

How do most people who are into mathematics do proofs and derive equations
while still keeping their notes in order? Is there a method that works
best,
like writing in individual sheets so that the order of entries can be
modified and new pages inserted?

Index cards work very well.

* easily reordered
* can be shuffled to test knowledge out of context
* save time by only writing a question, no answer.
* instead of an answer, just put a page number to refer to
* cards are easily editable (eraser) or just replace the card


Any of this applies to spreadsheets such as Excel.

The information can easily be copied and reedited - and copied and
reformatted when a submission or presentation is required.

Since submitting job applications on the Internet and using the PC for them,
my time for submitting an average job application has reduced from 3 hours
to an hour roughly - I just have to change the details of my supporting
statement and refer to my previous applications.

All the other information is more or less the same.

I am no longer having to write out in long hand my name and address etc. The
same would apply to use of spreadsheets as per manual index cards.

Of course, if you want to create index cards from the spread*** this can
be easily done - then you can enter your manual notes on your index cards on
to your spread***.

If you lose the index cards in the library you still have the original on
your PC.

Nick


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