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September 8th, 2011, 01:42 AM   #1
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Set theory & I -- Intro.

Peace everyone!

Wanna introduce myself....

I'm a humble computer programmer who has a crush on mathematics.... Much like many people, I started asking many questions about math. and tried to find answers. I fell in the Calculus trap where it didn't provide any good answers to me, then I turned to Set Theory....

Now after 3 and a half yrs of working on Set theory (I work as a professional programmers so I read computer books also ), I need to start Math. from scratch as if I'm working on a Bachelor's degree.

I would love to have any suggestions on this such as the best approach, what to do? Set theory was a little frustrating since the book I'm reading doesn't contain answers to exercies.

I may start working on Set theory from scratch from another book then go tp Linear Algebra and so...

Peace to you guys!
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September 8th, 2011, 08:57 AM   #2
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Re: Set theory & I -- Intro.

Welcome!

I'm in the same position -- a computer programmer who loves math.

I have some links at home to online resource (textbooks, etc. -- all legit, no warez or the like) that might be helpful.

You can also look into MIT OpenCourseWare though the material may be a little difficult compared to courses at other universities.
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September 8th, 2011, 11:37 PM   #3
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Re: Set theory & I -- Intro.

Thanx for the reply,

I actually started working on MIT's OCW/Linear Algebra: The harder the better

Is it normal to spend long time trying to solve some set theory proofs bcoz I feel frustrated of their complexity.... I guess I will start working on a new book for set theory...

I'm using Set Theory and Logic By R. Stoll...

Many thanx again
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September 9th, 2011, 08:00 AM   #4
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Re: Set theory & I -- Intro.

Quote:
Originally Posted by mmq83
Is it normal to spend long time trying to solve some set theory proofs bcoz I feel frustrated of their complexity...
It would be unusual if you didn't.

I'm not familiar with that text, though.
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September 9th, 2011, 06:11 PM   #5
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Re: Set theory & I -- Intro.

Quote:
Originally Posted by mmq83
I'm using Set Theory and Logic By R. Stoll...
That's a very well written book. The book is not only about set theory. It's a very good foundation book.
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September 10th, 2011, 04:44 AM   #6
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Quote:
Originally Posted by mmq83
a crush on mathematics.... I fell in the Calculus trap where it didn't provide any good answers to me, then I turned to Set Theory.
That suggests you have aims that you haven't revealed. What mathematics do you already know, and what do you want to know two years from now? Apart from set theory, what areas do you think you would find particularly interesting?

Quote:
Originally Posted by mmq83
I need to start Math. from scratch as if I'm working on a Bachelor's degree.
A bachelor's degree doesn't start from scratch. Although various topics, such as group theory, are likely to be introduced from an axiomatic foundation, you would probably still be expected to have prior experience of mathematical induction, elementary algebra, complex numbers, etc.
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September 10th, 2011, 07:36 AM   #7
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Re: Set theory & I -- Intro.

Quote:
Originally Posted by mmq83
I would love to have any suggestions on this such as the best approach, what to do? Set theory was a little frustrating since the book I'm reading doesn't contain answers to exercies.
Why don't you attempt solutions and post them here. We can tell you if your solutions are correct, and point you in the right direction when you're stuck.
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September 11th, 2011, 10:09 PM   #8
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Re: Set theory & I -- Intro.

Quote:
Quote:
Originally Posted by mmq83
Is it normal to spend long time trying to solve some set theory proofs bcoz I feel frustrated of their complexity...
It would be unusual if you didn't.

I'm not familiar with that text, though.
I guess my frustration comes from the fact that I can't dedicate more time for Set Theory & Logic.... I have to work u know

But also bcoz there's no mentor to shed some light on what to focus on and what not to .....
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September 11th, 2011, 10:11 PM   #9
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Re: Set theory & I -- Intro.

Quote:
Originally Posted by Math Dreamer
Quote:
I'm using Set Theory and Logic By R. Stoll...
That's a very well written book. The book is not only about set theory. It's a very good foundation book.

Agree, I can't say it's a text book for under-graduates bcoz some proofs are lengthy or tricky or both :P

Yet, it's a very good book ... I will keep exploring it at my own pace after finishing the part related to the construction of Real numbers...
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September 11th, 2011, 10:14 PM   #10
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Re:

Quote:
Quote:
Originally Posted by mmq83
a crush on mathematics.... I fell in the Calculus trap where it didn't provide any good answers to me, then I turned to Set Theory.
That suggests you have aims that you haven't revealed. What mathematics do you already know, and what do you want to know two years from now? Apart from set theory, what areas do you think you would find particularly interesting?

Quote:
I need to start Math. from scratch as if I'm working on a Bachelor's degree.
A bachelor's degree doesn't start from scratch. Although various topics, such as group theory, are likely to be introduced from an axiomatic foundation, you would probably still be expected to have prior experience of mathematical induction, elementary algebra, complex numbers, etc.

I'm trying to finish my Set Theory study at the constrcution of real numbers, I will proceed with "blue book" (Stoll's Book) but will start to cover new area. I working on linear algebra
although I had that topic in uni. Set theory gave a new perspective on how stuff work.... Since I can do complex proofs (to some extent) , everything that seemed rules & laws to memorize became more enjoyable.....

That's the gain I had from Set Theory study
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