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Last Activity 29-04-2012

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  1. Aha sorry, it is now done.
  2. nuodai
    28-03-2012
    Hey, studying's crazy and overwhelming but I'll pull through!

    I think an error in what you said might have been in the 'if I knock of a_m then I reduce the number of tranpositions by one' -- I'm not sure I agree without justification. Anyway, it doesn't matter :p:

    I didn't do OCR MEI I'm afraid, I did OCR; the only coursework I had was for Psychology, so I was quite lucky there.
  3. Fairly well I guess, not sure how far I'll be come another 3 months and 3 weeks. Hopefully but I doubt it haha! I'm sure you will though! How's it going for you?

    Yeah that's fair.

    Yeah thanks for the working, I thought of that but I was also wondering whether it would be sufficient to say  \displaystyle \sum_2^N \dfrac{1}{n^2} < \sum_2^N \frac{1}{n(n-1)}

    And then use method of differences to work out  \displaystyle \sum_2^N \frac{1}{n(n-1)} = 1 - 1/N

    Then prove  \displaystyle \sum_2^N \frac{1}{n(n-1)} = 1 - 1/N by induction

    Or would we have to prove  \displaystyle \sum_2^N \dfrac{1}{n^2} < \sum_2^N \frac{1}{n(n-1)} as you did there?

    Thanks for the link. To be honest my only experience of induction is the little we do in A Level Further Maths. I haven't much experience of practising good rigour - I find it hard sometimes to see what's sufficient.
  4. I've used the first one quite extensively, and I would say that it is written in a very clear style. It is very concise though and leaves out 'obvious' bits of proofs that other books might spell out. It also doesn't have many problems to solve. My favourite analysis books are Zorich's books 'Mathematical Analysis vols. 1 &2' which are very comprehensive although they have slightly non-canonical notation and are not as clear as the Burkill book, but they do cover much more material.
  5. Nope, I didn't get it. What was it?
  6. Aww that's so nice - if only that was part of the criteria for an offer! Thank you, you too.
  7. I haven't read it, but i did read some introductory group theory in october...never really got into it with ucas etc. in the way. I'm really more interested in analysis at the moment
  8. I knew the 1 was probably correct since I could get very close to it, but I couldn't find a pen, nor could I think of any nice numbers to maximise the expression. (Mental maths ftl...) So the 2 just came from changing the denominators to remove one letter from each. then you have \frac{a+b}{a+b} + \frac{c+d}{c+d}, which is 2.

    But I thought there might be a more restrictive limit... all I did there was apply the method twice.

    How did your Cambridge interviews go?
  9. That's a nice question is it 1 and 2?

    (I'm a bit shaky about the 2 - if I'm wrong, please just say "no" it's a bit of a guess but I'd like to work this through )

    Thanks for this!

    -Chris
  10. The course I do is 2nd year (out of 4 years) Mathematics at the University of Aberdeen. It's still non-honours and I'm currently taking 'Introduction to Analysis' and 'Sets and Algebraic Structures'.

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  • About gff

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    Q.E.D. (Latin for 'quite easily done').

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  • Last Activity 29-04-2012
  • Join Date 25-05-2011

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