Powered by MathJax From GCSE Maths, to Rocket Scientist...: The Joys of Group ...Theory!

Saturday 18 February 2012

The Joys of Group ...Theory!

So far, I am about half way through the M208 Unit GTA2, having completed unit 1, in the last 9 days.  And it's so far, so good.  I have found that Group Theory has actually felt more straight-forward, than some of the Introduction units that launched M208.  However, having read another blog, http://matrices-reloaded.blogspot.com/, I fear that Group Theory may take a turn for the complicated, later this year.

But this is just an introduction to Group Theory, rather than some heavy tomb covering the finer aspects of this vast subject, so I am hoping that it is not too problematic.

I am also possibly planning to study the level 3 course Groups and Geometry M336 in 2014, alongside an MSc mathematics module, so a thorough understanding of M208, is essential.

It is a shame, that apart from M208, it appears that M336 is the only other O.U course, that seems to cover Geometry or groups, in any real depth (apart from the MSc Dissertation, that covers some geometry).  So I feel that it is probably important that I have a go at M336; in order for me to have a more rounded mathematical field of view, before I decide to specialise further, beyond the MSc.

Having said all that, I have found the first two books of Group Theory in M208 a little bit, dare I say it, dull, and not very intellectually stimulating.  But on reading ahead, it does seem to pick up a bit, in the next two books.  Here's hoping so.

3 comments:

  1. Yes it gets a lot heavier. The problem with the OU approach to group is it that it just concentrates on the pure maths side and there is no corresponding attempt to show how group theory is relevant to physics specifically quantum physics. Still I guess in order for that to happen a knowledge of quantum physics would be a necessary pre-requisite.

    The book by Jones which I recommend on my blog is worth getting to remedy this defect. Certainly if you aspire to study mathematical physics at Phd level some knowlege of these aspects are essential.

    Good luck with the rest of the group theory

    Best wishes Chris

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  2. Thanks Chris, your comments are welcome, as always. I have the 'Szekeres' Mathematical Physics book, which covers group theory in the first few chapters; but not the book you mention above. I'll glance at it this week.

    Dan

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  3. Chris, does the O.U course, {The Quantum World}, cover group theory?

    Dan

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