Why do I have a picture of the Crab Nebula on my insane math page? Simple -- I am crazy! No, really, astronomy and mathematics are so closely related in my opinion, that I feel that astronomy is just another branch of mathematics! (Or is it the other way around, mathematics a branch of astronomy? I don't know, and I never figured that one out!) This picture comes from one of NASA's image archives and is taken by the great Hubble Space Telescope from earth's orbit. This is a truly fantastic picture, in my humble opinion, and it represents to me the beauty of the cosmos. You can click on the image (or here) to download a zipped bitmap file of an enlarged version of this image (for use as a background, or anything else!).I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimension, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality."You will have to brace yourself for this -- not because it is difficult to understand, but because it is absolutely ridiculous: All we do is draw little arrows on a piece of paper -- that's all!"
-- Richard P. Feynman
in QED: The Strange Theory of Light and Matter
We hear within us the perpetual call: There is the problem. Seek its solution.
-- David HilbertI wonder why. I wonder why.
I wonder why I wonder.
I wonder *why* I wonder why
I wonder why I wonder!-- Richard Feynman-- A. Square, in Flatland by Edwin A. Abbott
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When I say that mathematics is addictive, many people may disagree; But it is my firm belief that at the very least, mathematics breeds insanity, hence the title of this web page. My name is Daniar (Dan) Hussain and I love doing math; I enjoy mathematics mainly for the ideas, but I also love mathematics for its more esoteric qualities - such as the fancy symbolism and the formal vocabulary. I think that mathematics should be fun and enjoyable, otherwise why do it? (This is why I have used the crazy color scheme.) But mathematics must also be challenging for it to keep my attention for very long. Out of all disciplines, it is mathematics that has always challenged me - mathematics always seems to say, almost teasingly: I dare you... I dare you to figure me out!
To those who comment that this page has a lot of computer science projects and ideas, let me just say that it is my firm belief that computer science is wholly a branch of mathematics. If the computer scientists you know object, remind them that computer science as we know it began in the early years of this century with the work of Alan Turing, a British mathematician. If they still try to argue, tell them that computer science deals with abstract mathematical objects called "algorithms" whose validity and existence is wholly independent of any physical computing machine (i.e., if all of the world's computers suddenly and instantaneously vanished from a quantum mechanical fluctuation, all of computer science would still be valid). In any respect, ask them to email me if they want to argue this issue further.
But that's enough philosophizing; lets get to the point. Here I have assembled my work in mathematics during the last three years that I am most proud of. I share my knowledge here for anyone interested in figuring it out: I dare you! None of this material is perfect, as nothing ever is; but it offers interesting solutions to interesting problems that may be of some interest to an interested intellectual. I should not have to say much more... let the mathematics speak for itself.
Legal (and boring) copyright notice as required by federal and international law: All thoughts, ideas, and programs presented herein are copyrighted by Daniar Hussain, unless specifically noted. If you have any boring legal questions, direct them to your lawyer or local judge; in any respect, feel free to use the information you learned here in any and every respect you chose. Feel free to copy my code, and issue it as your own -- I don't care. Feel free to sell, crack, or in any respect mess with my code. In any event, I am not liable for any damage done to your computer, your life, or your criminal record. In other words: Act freely and don't blame me for your mistakes.
Feel free to write to me about any technical, mathematical, or personal questions or send comments about this site. I will respond to any inquiries promptly. I always enjoy reading input and ideas from others.
Copyright © 1999-2000, by Daniar
Hussain
All rights reserved, unless
otherwise stated.
