Why is arctan a transcendental function?
in [Math]
|
Prev: Eureka Re: setting up a Math Induction template Re: Proof of the Infinitude of Perfect Numbers #678 Correcting Math
Next: A message on this day
From: G. A. Edgar on 15 Jul 2010 06:35 In article <537567705.31832.1279162295883.JavaMail.root(a)gallium.mathforum.org>, Fred Richman <richman(a)FAU.EDU> wrote: > How does the proof go? > > --Fred An Elementary Discussion of the Transcendental Nature of the Elementary Transcendental Functions by R. W. Hamming The American Mathematical Monthly, Vol. 77, No. 3 (Mar., 1970), pp. 294-297 -- G. A. Edgar http://www.math.ohio-state.edu/~edgar/
From: Jesse F. Hughes on 15 Jul 2010 07:57 Ludovicus <luiroto(a)yahoo.com> writes: > There are not trascendental funtions but trascendenal numbers. Very enlightening. Perhaps you can help clean up Wikipedia by moving to delete http://en.wikipedia.org/wiki/Transcendental_function. And also mathworld and various math texts and so on. -- Jesse F. Hughes "Yes, I'm one of those arrogant people who tries to be quotable. There is actually at least one person who quotes me often." -- James Harris
From: Tim Little on 15 Jul 2010 10:32 On 2010-07-15, Jesse F. Hughes <jesse(a)phiwumbda.org> wrote: > Perhaps you can help clean up Wikipedia by moving to delete > http://en.wikipedia.org/wiki/Transcendental_function. Or at least fixing one statement on it! "If f(z) is an algebraic function and alpha is an algebraic number then f(alpha) will also be an algebraic number." - Tim
From: Jesse F. Hughes on 15 Jul 2010 10:59 Tim Little <tim(a)little-possums.net> writes: > On 2010-07-15, Jesse F. Hughes <jesse(a)phiwumbda.org> wrote: >> Perhaps you can help clean up Wikipedia by moving to delete >> http://en.wikipedia.org/wiki/Transcendental_function. > > Or at least fixing one statement on it! > > "If f(z) is an algebraic function and alpha is an algebraic number > then f(alpha) will also be an algebraic number." Well, they could at least cite your recent post, if only Usenet counted as a reliable source, right? (I'm taking your word for it that this claim is false. I don't know doodlysquat about transcendental functions.) -- "[I]f I could go back, [...] I would tell myself not to step into a position where the fate of the entire world could rest in my hands. I would [avoid this] path to a nightmarish and surreal world, a topsy-turvy world, where everything changes." -- James S. Harris cannot escape his destiny.
From: Fred Richman on 15 Jul 2010 08:51
Thanks. I don't know how I missed the argument that the inverse of an algebraic function is algebraic---I even wondered if that were true. I had figured out the exponential and logarithmic functions, and sine, cosine, and tangent. --Fred |