Hi Quan,
Take my note with a grain of salt: I'm just a Year 12 student in Australia with a love of pure mathematics. I've seen a little bit of topology before, but only enough to have a few general ideas about it.
I watched all 10 of your videos in the series today and they are excellent...
Cfire, that is a very heartening message. Thank you very much for that! I find for whatever reason that I can work hard in mathematics far more easily than in physics. What I mean by that is this: I can happily sit down and write proofs and do differential equation modelling etc for hours at...
I'm in Year 12 in Australia, and doing both a Pure Mathematics and Physics course (alongside Chem and Comp Sci). I find mathematics in its very raw, pure, abstract form much easier and more beautiful than physics. I love proofs. I also have a deep love of philosophy, in topics such as...
The most stupid thing is that I have to know about Laplacians and other advanced mathematics to do modern physics instead of rubber chickens. What if I want to use rubber chickens to answer questions in physics?? I do love mathematics, truthfully, but I'm in the spirit of this forum. :)
Sorry, but could you please repost this so it can be read more clearly?
That way, we may be able to help you. : ) Also, you must show at least some working.
9 stitches in time staple the clothes to the bodies of the bomb blast victims. What victims?? I see no damn victims!
I question the philosophical reality of your terrorist bomb! Answer me that, and I shall bake you a cake. Pi cake.
I'm just a year 12 student with an interest in mathematics and physics, but I have a question (or rather a few) for particle physicists/mathematicians out there.
I have read a little about abstract algebra - to about the extent of knowing the definition of a group, its relationship to...
You should watch this youtube video on infinity: it should answer your question.
Also, you may like to search for Cantor's theory (on infinite sets). It discusses cardinality (i.e. the number of elements in a set).
To give my own example, are you familiar with complex numbers? A complex...
There are different values of infinity. Sounds counter-intuitive, but it's true.
Think of infinity as a direction in the number line (when talking about reals) rather than a number (this is what I do anyway). It does not behave as a number.
Hope this helps.
Davin
Hi Wellesley,
I feel a little proud that you enjoyed reading my post. :wink:
I can completely understand your sentiments, and thank you. I hope I (and you!) continue to enjoy mathematics long into the future.
Cheers
I know this is old, so apologies for bumping this thread, but I'd like to give some advice to Sportsstar (which could by extension be applicable for others in a similar position).
I'm an Australian Year 12 student currently studying the highest level of mathematics I can possibly take...
Sorry. This is incorrect.
I can not speak too much about series convergence/divergence, but I can talk about a sequence:
What happens to \frac{2n+1}{3n-1} as n ---> infinity?
You can rig this so that the 1's cancel and you are then left with \frac{2n}{3n} which obviously then cancels down to...
You can get back to the nth factorial with this representation:
e^{\sum_{k=1}^n ln(k)}
Not sure if this is at all helpful to you, but there's a statement that returns you to n!
Try it out, I assure you it works, except if you let k= 0 as ln(0) is undefined.
Oh, sorry, wrote this out for someone, ended up posting it too, and I didn't explain its purpose.
Could be taken as being for general interest if you like. :wink: