After a year and a half of independent study, I am happy to share some of what I've learned about the congruent number problem. This will be the first of my independent math papers for math enthusiasts.
Read it here: the congruent number problem, by Graeme Brown.
Monday, May 5, 2014
Saturday, January 18, 2014
As my writing career takes root and pulls more of my energy, my love for math is designated more and more a hobby. Yet, like any hobby one truly enjoys, this does not mean one cannot find enrichment in it.
I am now a part-time student and enjoy tutoring and helping other students. However, as I study more topics on number theory and computer programming, I continue to work on my own projects. Elliptic curves and congruent numbers have given me a taste of number theory, but recently, one day while waiting for late lunch guests, I scribbled some work on a napkin, and that work led to a general continued fraction expansion for the nth root of any number. I showed it to my adviser and he encouraged me that this is an open topic and something just as worthwhile to explore.
And there's no rush - just like there's no rush when you have a hobby of building models. You pick away at it, continue to learn and build, and the surprises are the best part.