Topics I will/might blog about when time permits.
ToBlogList:
3x+1 problem; past and current influence;
OU 2010; M208/MT365 what is wrong with these courses;
Can't wait to start on MST209;
60 or 90 in 2011;
Must narrow the field of what I will be able to study, i.e.: mandatory topics = B10 upto BSc; Complex analysis; Group Representation Theory; Combinatorics.
What deeply fascinate me: Number Theory, Group Theory  the deep connections between the two;
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Mathematics: is it the fabric of MEST?
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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)
Unfortunately the OU doesn't cover representation theory not even in the MSc. I don't know whether the analytic number theory modules in the MSc cover any group theory. I suspect not. Still the point is that these courses give a foundation so you can explore other areas that interest you. I'll be doing M208 and M337 next year. I would have thought that for you doing MST209 and M337 together shouldn't provide too much of a challenge. Remember also if you already have a degree you don't need a full degree before qualifying to go on to the MSc. They reccomend at least M208 and M337. I would also include the Topology course and the group theory course which I intend to do in 2012. So perhaps we will overlap.
ReplyDeleteBest wishes Chris
A mystery to me why your comment did/does not appear in the recent comments widget. I hoped that widget would stimulate commenting on my posts. Maybe there is a thirdparty solution somewhere.
ReplyDeleteI think that combining M208 and M337 is an excellent choice. They fit very well together.
Next to MST209 I have three options 1) M381 number theory, logic, 2) M337 complex analysis and 3) nothing. More about that in a post some time.
Hi I take it back A look at the chapter headings on Apostol the book for the analytic number theory course has a chapter on the characters of Abelian groups so it looks like you will get a glimpse of the link.
ReplyDeleteHave you heard of the Monster Group and Moonshine it all started when a guy noticed that a key number in number theory to do with modular functions was only 1 less than the dimensions of the smallest irreducible representation of the monster group. Which is the largest finite group discovered.
heres a link to a description of what you get if you do the first part of the analytic number theory course.
ReplyDeletehttp://www.studymania.de/index.php/inesinwonderland/m823analyticnumbertheoryi.html
Not a lot compared to the undergraduate courses but hey if you are at MSc Level you are supposed to be on your own more.
If (When) I do the MSc in a couple of years I'm torn between doing the number theory blocks or approximation theory or Fractals. I definitely want to do calculus of variations and Complex analysis. But my ultimate aim is the Functional analysis course of which they reccomend you do at least one of Fractals Approximation theory or Analytic Number theory before hand. Of course who knows by then they may have withdrawn the functional analysis course in which case I'll just have to it on my own.
Chris ( Finlay ),
ReplyDeleteTo my knowledge I have posted and answered all your comments except the latest batch as I am still busy on M208/TMA06 for which the cutoff is tomorrow.
Are you on Facebook?? Maybe we could set up a discussion sort of page there? I would like a friend there with who I can talk about mathematics.