Linkage: Abstract Math
Friday, January 23, 2009 11:09The site Abstract Math by Charles Wells presents some useful insights on writing and doing proofs. The author’s opinions in some areas are arguable (so you should read and think about them, rather than follow the advice slavishly — the only piece of advice which you should in general follow slavishly!) For instance, I wouldn’t recommend the “Languages of Math” section which is far too detailed at present. However, there are little gems to be found everywhere, and from within that section comes the link to Timothy Gowers article, “The language and grammar of mathematics.”. By the way, the “Tricki” which he (Gowers) promises should be live soon will certainly be a great resource.
Returning to Abstract Math, I particularly recommend the section entitled Doing Math. Just in case you’re too lazy to click a link and explore I will briefly quote one particularly important concept from the “Useful Behaviors” section:
METHOD: To prove that a statement involving a concept is true,start by rewriting the statement using the definition of the concept.
So very simple, and yet so true. But, don’t wait, go and explore Abstract Math now!
Michael