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Simple, Finite Continued Fractions
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Michael F. Stemper
Aug 30, 2023, 11:12:57 AM8/30/23
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I've empirically found a few interesting (to me, at least) properties
of simple, continued fractions. Trying random coefficients is nice, but
I'd like to prove the validity of what I've found.
Unfortunately, I know very little about continued fractions, so I don't have
a lot of tools in my tool box. I spend some time searching, but mostly came
up with stuff about the convergents of continued fractions.
Can anybody point me to something on-line that proves some simple theorems
that I can use as starting points? I'm looking for real fundamental stuff,
similar in nature to the way you start group theory by proving the uniqueness
of the identity and inverses.
--
Michael F. Stemper
Why doesn't anybody care about apathy?
of simple, continued fractions. Trying random coefficients is nice, but
I'd like to prove the validity of what I've found.
Unfortunately, I know very little about continued fractions, so I don't have
a lot of tools in my tool box. I spend some time searching, but mostly came
up with stuff about the convergents of continued fractions.
Can anybody point me to something on-line that proves some simple theorems
that I can use as starting points? I'm looking for real fundamental stuff,
similar in nature to the way you start group theory by proving the uniqueness
of the identity and inverses.
--
Michael F. Stemper
Why doesn't anybody care about apathy?
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