The fucking gauntletThe hyperlink above is to a book, a very, very difficult book on maths, both discrete and continuous. I'm going to master all of its contents by Dec, 31 2007, but it is one hell of a challenge. The book is at such an advanced level that even its authors use it as a reference, not for teaching, but for practical applications. I'm not even certain it is possible for me to be able to cover all of the material in a year and thought this may sound haughty, I'm farily good at math.
So, from what the reviews suggest I should completely master the calculus of infinitesimals to the point I can work out infinite series in my sleep. I should also have a mastery of linear algebra, so that I can call myself "mathematically mature". Now, they also suggest I have a firm grasp with induction (I do), have a good knowledge of probability and elementary number theory, and be strong with both generating and recursive functions.
I think this will take me half a year just to meet the prereques and another half a year to master the book, but when I do... I should be on pair with a decent, professional mathematician. Just thinking about tackling this book gives me goose bumps, the air around me is crackling with anticipation. If I can do this, I might be on my way to becoming a farily deft mathematican before I enter my fourth undergraduate year and all of my fears of being subpar will be put to rest.
I'm also a bit terrified, what if I can't finish this book, what if I burn out? I'm a little scared that if I can't do it my confindence will be shattered and I'll become that homely sister-in-law, living off my sister and her husband, sometimes I think I'd be better off hanging myself than confronting my own inadequateness. Perhaps, I'm just being a bit dramatic, heh....
I need to find a good brand of caffeine pills that or switch to meth, lolz.