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Math Help - Simple Group Theory

  1. #1
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    Simple Group Theory

    Are there any websites that explain how a person could learn the language

    and simple meaning of groups (symmetry) for easy understanding,

    maybe an online mathematics game or something?
    Last edited by mr fantastic; July 1st 2010 at 03:23 PM. Reason: Deleted email address.
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  2. #2
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  3. #3
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by pickslides View Post
    I think that is, quite frankly, a rude and unhelpful answer. The OP is, essentially, wanting a decent resource and I do not think a google search is a good way of finding such a thing. Thus, they asked here. If they had asked for a book people would offer suggestions, so what really is the difference?

    Now, as an answer to the question, I do not believe a resource in the form of a game exists (although perhaps a google search would throw one up?.........). However, there are many intriguing beginner books in this area!

    As a text book, I can (personally) recommend a book entitled `Abstract Algebra: Groups, Rings and Fields' by Perry. It gives a nice overview to the whole area of abstract algebra, not just to groups.

    If you are interested in groups as a way of looking at symmetry, this book looks interesting. It deals with group actions early on, and group actions are the things you are wanting to look at - a group acts on a set and it is these actions that are the symmetry that sort of `define' groups. It's what makes them interesting (in some peoples opinions, anyway).
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  4. #4
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    Quote Originally Posted by Swlabr View Post
    I think that is, quite frankly, a rude and unhelpful answer. The OP is, essentially, wanting a decent resource and I do not think a google search is a good way of finding such a thing. Thus, they asked here. If they had asked for a book people would offer suggestions, so what really is the difference?
    Hi Swlabr, I respect your response, I can see how that may have come across a little cold.

    You are correct in saying the OP needed a more detailed kick start, but my response may have done the trick? The poster may be relatively new to the world wide web and not considered a simple google search. The OP is clearly at the beginning of his/her journey into group theory and google will return lots of great papers and Youtube clips introducing the topic at minimal cost.

    If the poster asked a more direct question on the topic i.e. "prove a given set is a group and commutes or is closed under a certain operation etc, etc..." a more detailed reply would've been given.

    *extends olive branch*
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  5. #5
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by pickslides View Post
    Hi Swlabr, I respect your response, I can see how that may have come across a little cold.

    You are correct in saying the OP needed a more detailed kick start, but my response may have done the trick? The poster may be relatively new to the world wide web and not considered a simple google search. The OP is clearly at the beginning of his/her journey into group theory and google will return lots of great papers and Youtube clips introducing the topic at minimal cost.

    If the poster asked a more direct question on the topic i.e. "prove a given set is a group and commutes or is closed under a certain operation etc, etc..." a more detailed reply would've been given.

    *extends olive branch*
    I think in todays world it is somewhat na´ve to assume someone is relatively new to the internet. My gran is in he late 80s and she uses it!

    However, I will tentatively accept your olive branch. But only because I like the feel of smoothed olive wood...
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  6. #6
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    Quote Originally Posted by Swlabr View Post
    I think in todays world it is somewhat na´ve to assume someone is relatively new to the internet. My gran is in he late 80s and she uses it!
    It's horses for courses, my mum is 20+ years younger than your Gran and she can't find the power button!


    Quote Originally Posted by Swlabr View Post
    However, I will tentatively accept your olive branch. But only because I like the feel of smoothed olive wood...
    Sounds good to me..
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