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 Post subject: Abstract Algebra and Topology
PostPosted: Sat Jan 22, 2011 8:38 pm 
Joined: Mon Jan 03, 2011 11:17 pm

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Joined: Mon Jan 03, 2011 11:17 pm
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Hi,

I want to take the GRE MATH subject test.
I am currently studying the Princeton Review book. As I am a student with engineering background, I have not taken any courses in Abstract Algebra and Topology. I found these two topics difficult in the mentioned book. I have no problem with the other topics.

Do you have any tip for me( for example another book), so I can increase my knowledge in the mentioned areas in the following days before the GRE test day.

thank you very much,


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Sat Jan 22, 2011 9:26 pm 
Joined: Sat Oct 09, 2010 6:34 pm

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Joined: Sat Oct 09, 2010 6:34 pm
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Abstract Algebra: Theory and Applications is a nice, free textbook. I read it alongside the required text for my abstract algebra course, and found that it did just as nice of a job. I haven't tried any of the problems though, so no comment there.
http://abstract.ups.edu/


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Sun Jan 23, 2011 8:21 pm 
Joined: Fri Jan 29, 2010 2:01 am

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Joined: Fri Jan 29, 2010 2:01 am
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Have you taken a real GRE Math practice exam (not the Princeton Review one)? You might notice that there are very few abstract algebra and topology questions on the exam. You can leave every single one of them blank and still earn a top score, as long as your performance on the rest of the exam is strong.

My advice: first focus on the areas that you are already familiar with. When you can comfortably answer all of the GRE questions in that area, then - and only then - move on to unknown territory. Don't waste 20 hours studying topology only to add 10 points to your score. Not a good use of your time.


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Wed Jan 26, 2011 3:44 am 
Joined: Mon Jan 03, 2011 11:17 pm

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Joined: Mon Jan 03, 2011 11:17 pm
Posts: 6
MattW wrote:
Abstract Algebra: Theory and Applications is a nice, free textbook. I read it alongside the required text for my abstract algebra course, and found that it did just as nice of a job. I haven't tried any of the problems though, so no comment there.
http://abstract.ups.edu/



Thank you very much for the book.


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Wed Jan 26, 2011 3:49 am 
Joined: Mon Jan 03, 2011 11:17 pm

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Joined: Mon Jan 03, 2011 11:17 pm
Posts: 6
owlpride wrote:
Have you taken a real GRE Math practice exam (not the Princeton Review one)? You might notice that there are very few abstract algebra and topology questions on the exam. You can leave every single one of them blank and still earn a top score, as long as your performance on the rest of the exam is strong.

My advice: first focus on the areas that you are already familiar with. When you can comfortably answer all of the GRE questions in that area, then - and only then - move on to unknown territory. Don't waste 20 hours studying topology only to add 10 points to your score. Not a good use of your time.


I have not taken a real GRE Mat practice exam. I am about to do that in near future. I think there are about 4 or 5 questions from these two topics in the GRE which is about 30 or 40 grades.

thank you for your advice.


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Wed Apr 06, 2011 1:05 pm 
Joined: Tue Mar 22, 2011 2:02 pm

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Joined: Tue Mar 22, 2011 2:02 pm
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I wanted to add that Topology: Pure and Applied by Adams & Franzosa is a great introductory text on Topology. I think the first few chapters would be good to get the basics of topology. I got my copy on abebooks for around 10 bucks or so, so it's not too expensive. Also, topology is awesome :mrgreen: you don't want to miss out!


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Wed Jun 22, 2011 1:40 am 
Joined: Wed Jun 22, 2011 12:06 am

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Joined: Wed Jun 22, 2011 12:06 am
Posts: 5
"General topology"
Waclaw Sierpinski
translated and revised by C. Cecilia Krieger
2000

QA 611 . S 47 2000

ISBN 0-486-411148-6


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Wed Jun 22, 2011 1:42 am 
Joined: Wed Jun 22, 2011 12:06 am

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Joined: Wed Jun 22, 2011 12:06 am
Posts: 5
"Algebra"

Artin

2004

ISBN 0-13-004763-5


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 Post subject: Re: Abstract Algebra and Topology
PostPosted: Sat Jun 25, 2011 9:41 pm 
Joined: Sat Jan 01, 2011 5:35 pm

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Joined: Sat Jan 01, 2011 5:35 pm
Posts: 9
Honestly, I cannot think of a single bigger time waster than trying to learn algebra for this silly test from ARTIN.

That's like trying to blow out your birthday candles with a snowblower. Probably a snowblower you don't yet know how to operate, since you said you were an engineer.


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