Recommendations (courses)

[blob100]

I don't know where this is needed to be posted (the thread),
But it may be removed to another sub-forum with my permission.

Next year (in a few month) I'm going to start my B.A.
I'm interested which intro. courses may be the best to start with.

Thanks Tomer.

[R.D. Silverman]

Originally Posted by blob100

I don't know where this is needed to be posted (the thread),
But it may be removed to another sub-forum with my permission.

Next year (in a few month) I'm going to start my B.A.
I'm interested which intro. courses may be the best to start with.

Thanks Tomer.

I thought that you were only 14?

Noone can answer this question without knowing what you intend to
study!

What University are you intending? Surely you will have an advisor
who knows the curriculum better than anyone here.

[blob100]

Originally Posted by R.D. Silverman

I thought that you were only 14?

Noone can answer this question without knowing what you intend to
study!

What University are you intending? Surely you will have an advisor
who knows the curriculum better than anyone here.

I am 14 years old,
I participated in a preparatory program this year (for secondary school students who interested in learning university materials) in TAU (Tel-Aviv University).
for none missunderstanding: I still learn in secondary school,
So I may not finish the B.A on the next three years.
But I wish to finish the First year or some more.

Don't you know what I intend to study,
I told you that I want to learn pure mathematics

The question isn't about which path to take, I was talking about which courses are the best to be taken in my situation.

Thanks Tomer.

[cheesehead]

Originally Posted by blob100

Don't you know what I intend to study,
I told you that I want to learn pure mathematics

I don't think it's feasible to learn all of pure mathematics -- maybe two or three centuries ago, but not now.

Here's a list of areas of mathematics: http://en.wikipedia.org/wiki/Areas_of_mathematics

Which ones interest you more than others?

(Here's a different classification of mathematics subjects, but it was developed for the specific purpose of classifying mathematical papers submitted to journals, though it's also the starting point for the first list:
http://msc2010.org/mscwiki/index.php?title=MSC2010 )

The question isn't about which path to take, I was talking about which courses are the best to be taken in my situation.

But the course recommendations depend on what path you intend to take.

You can take introductory courses in a variety of areas, but unless you want to be a professional classifier of mathematical areas you'll need to focus on specific areas for advanced courses. Getting from where you are to the frontier of some area will take time. (If you're creative enough to invent a new area ... then our recommendations might not be any help to you.)

Help us to help you, by telling us which areas or subjects within mathematics most interest you.

[blob100]

Originally Posted by cheesehead

I don't think it's feasible to learn all of pure mathematics -- maybe two or three centuries ago, but not now.

Here's a list of areas of mathematics: http://en.wikipedia.org/wiki/Areas_of_mathematics

Which ones interest you more than others?

(Here's a different classification of mathematics subjects, but it was developed for the specific purpose of classifying mathematical papers submitted to journals, though it's also the starting point for the first list:
http://msc2010.org/mscwiki/index.php?title=MSC2010 )

But the course recommendations depend on what path you intend to take.

You can take introductory courses in a variety of areas, but unless you want to be a professional classifier of mathematical areas you'll need to focus on specific areas for advanced courses. Getting from where you are to the frontier of some area will take time. (If you're creative enough to invent a new area ... then our recommendations might not be any help to you.)

Help us to help you, by telling us which areas or subjects within mathematics most interest you.

Here is what I interested in:
Number Theory.
Algebraic Number theory.
Topology.
Mathematical Logic/Proof theory.
I'm interested in Brent and Shanks' work (mostly conjectures) in number theory which isn't the classical number theory (functions, infinitesimal arithmetic, etc.).
Calculus (It isn't an area I in'love with, I think it is just an area must be mastered for every mathematician).
Group theory (Credit to Silverman who showed me how special this area is).
Group theory with appliciations into number theory.
Analysis as Calculus must be taught too.
Numerical Analysis.

I may devide these into three categories:
1) Number theory and it's applications.
2) must be taught.
3) Topology and mathematical logic (remainders).

Thanks.

[blob100]

Originally Posted by cheesehead

(If you're creative enough to invent a new area ... then our recommendations might not be any help to you.)

.

Why is that, everything new is based on past areas.

[cmd]

Originally Posted by blob100

Why is that, everything new is based on past areas.

1+1=10

[cmd]

Originally Posted by cmd

1+1=10

1

[blob100]

Originally Posted by cmd

1+1=10

Again?

[blob100]

Anyone would like to help me here?

[wblipp]

Is there an online course listing we can look at?