Knot TheoryDate: 10/24/96 at 23:15:18 From: Neil Sen-Gupta Subject: Knot Theory Dear Dr. Math, I am in the tenth grade, and we are doing a research report on Knot Theory. I have found many sites with knots and examples, but so far I have not yet found a definition of the Theory which describes its purpose or function. Would you happen to know what Knot Theory actually describes and means, what it states about knots, and its usefulness in real life? Finally, is Knot Theory really a Theory about types of knots, or is it just a certain field of mathematics? Sincerely, Neil Date: 10/25/96 at 12:48:58 From: Doctor Ceeks Subject: Re: Knot Theory Hi, You can think of a knot as a loop of string. Sometimes, you can take a knot and fiddle with it (without cutting it!) and turn it into a simple circular loop of string. Sometimes you can't. When can you do that? If you try to find a definitive answer to that simple question, you end up creating knot theory. Knot theory is both a mathematical theory and a field of mathematics. It is a theory because it is rich in interconnecting ideas. It is an active field of research because that simple question hasn't been answered yet! -Doctor Ceeks, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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