02-27-2024, 01:01 AM
Post: #1
 Matt Agajanian Senior Member Posts: 1,027 Joined: Dec 2013
Hi all. Why should Π (pi) get all the attention?! Any books about e or ϕ. If the golden ratio’s so golden, why isn’t it more popular?
02-27-2024, 03:26 AM
Post: #2
 rprosperi Super Moderator Posts: 6,248 Joined: Dec 2013
There are several I've seen, probably many are out there.

Here's one:

e: The Story of a Number

--Bob Prosperi
02-27-2024, 04:08 AM
Post: #3
 Paul Dale Senior Member Posts: 1,837 Joined: Dec 2013
02-27-2024, 06:01 AM
Post: #4
 carey Member Posts: 156 Joined: Feb 2014
(02-27-2024 01:01 AM)Matt Agajanian Wrote:  Why should Π (pi) get all the attention?!

Hmm...maybe because it's simply the ratio of the distance around a circle divided by the distance through the circle (via its center), so has obvious everyday applications. The fact that it shows up everywhere in mathematics doesn't hurt, and was the inspiration for Eugene Wigner's famous paper "The Unreasonable Effectiveness of mathematics in the Natural Sciences."

(02-27-2024 01:01 AM)Matt Agajanian Wrote:  Any books about e or ϕ.

Too many to list, but the book mentioned by Bob and books by Julian Havil and Mario Livio are good places to start.

(02-27-2024 01:01 AM)Matt Agajanian Wrote:  If the golden ratio’s so golden, why isn’t it more popular?

From ChatGPT: "Therefore, a very rough estimate would suggest that there are at least several thousand academic papers and probably over a thousand books dedicated to exploring, discussing, or mentioning the golden ratio."
02-27-2024, 08:18 AM
Post: #5
 ijabbott Senior Member Posts: 1,293 Joined: Jul 2015
(02-27-2024 01:01 AM)Matt Agajanian Wrote:  Hi all. Why should Π (pi) get all the attention?! Any books about e or ϕ. If the golden ratio’s so golden, why isn’t it more popular?

Well, π and e are intimately related by Euler's identity, so one of them (take your pick) is redundant.

— Ian Abbott
02-27-2024, 02:23 PM
Post: #6
 KeithB Senior Member Posts: 483 Joined: Jan 2017
(02-27-2024 08:18 AM)ijabbott Wrote:
(02-27-2024 01:01 AM)Matt Agajanian Wrote:  Hi all. Why should Π (pi) get all the attention?! Any books about e or ϕ. If the golden ratio’s so golden, why isn’t it more popular?

Well, π and e are intimately related by Euler's identity, so one of them (take your pick) is redundant.

I say make i redundant!
02-27-2024, 05:31 PM
Post: #7
 KeithB Senior Member Posts: 483 Joined: Jan 2017
i would be ln(-1)/pi.

You can calculate it on the HP71 with a MathPac:
log((-1,0))/(pi,0) => (0,1)
02-27-2024, 09:07 PM
Post: #8
 Matt Agajanian Senior Member Posts: 1,027 Joined: Dec 2013
(02-27-2024 05:31 PM)KeithB Wrote:  i would be ln(-1)/pi.

You can calculate it on the HP71 with a MathPac:
log((-1,0))/(pi,0) => (0,1)

Nice that the 42S is cool with complex numbers. Even better that its complex number function library is quite broad. Not just and only the four-banger functions.
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