Elliptic stuff

General discussion about calculators, SwissMicros or otherwise
Post Reply
User avatar
Walter
Posts: 1974
Joined: Tue May 02, 2017 11:13 am
Location: Close to FRA, Germany

Elliptic stuff

Post by Walter »

I admit I came across (Jacobi) elliptic functions and integrals (1st, 2nd, and 3rd kind) just a few days ago - they never occurred to me in my entire professional life as a physicist. Anybody has an idea about applications beyond pure mathematics and computing ellipses? (Yes, I know astronomy is full of ellipses.)

I've found this https://de.wikipedia.org/wiki/Elliptisc ... sbeispiele and https://de.wikipedia.org/wiki/Jacobisch ... der_Physik in German Wikipedia - the English edition seems being quite silent in this matter. To me, these examples look a bit like stuff noone ever computes in real life. But maybe I missed some important points.
DM42 SN: 00041 β
WP 43S running on this device

HP-35, HP-45, ..., HP-35S; WP 34S & WP 31S for obvious reasons; DM16L
Mr_Moon
Posts: 5
Joined: Sun May 09, 2021 7:38 am

Re: Elliptic stuff

Post by Mr_Moon »

Looking at the links at the bottom of the Wikipedia gives the following link which provides some real world applications:
https://dlmf.nist.gov/22.19
HP48G (since '93), 12C, 12Cplat, 15C, 19Bii, 30B, DM42 (since '21)
iHP48, Free42 & WP34s on my phone
User avatar
ratwolf
Posts: 43
Joined: Fri Feb 12, 2021 1:00 am

Re: Elliptic stuff

Post by ratwolf »

User avatar
PierreMengisen
Posts: 207
Joined: Wed Nov 29, 2017 1:38 pm
Location: Neuchâtel CH

Re: Elliptic stuff

Post by PierreMengisen »

Pierre
[TI59 with PC100C; TI-84 Plus CE-T; HP41CV with HP IL loop & 2*82161A DCD & 82162 TP; HP15C; HP28S; DM41; DM41L; DM42; DM41X]
User avatar
Walter
Posts: 1974
Joined: Tue May 02, 2017 11:13 am
Location: Close to FRA, Germany

Re: Elliptic stuff

Post by Walter »

Thanks and merci! You pointed me to some sites I had missed so far. Original articles of 1850 deserve a thorough read.
DM42 SN: 00041 β
WP 43S running on this device

HP-35, HP-45, ..., HP-35S; WP 34S & WP 31S for obvious reasons; DM16L
Mr_Moon
Posts: 5
Joined: Sun May 09, 2021 7:38 am

Re: Elliptic stuff

Post by Mr_Moon »

Walter,

Assume you’ve found the following:

1 - from the Cornell University Library: Historical Mathematics Monographs collection:
https://www.gutenberg.org/files/31076/31076-pdf.pdf
Baker, A.L. (2010), Elliptic Functions - An Elementary Text-Book for Students of Mathematics

2 - HP41 program on same:
https://www.hpmuseum.org/software/41/41jacob.htm

Hope this helps - hopefully less dense than the original texts!

Cheers
HP48G (since '93), 12C, 12Cplat, 15C, 19Bii, 30B, DM42 (since '21)
iHP48, Free42 & WP34s on my phone
User avatar
Walter
Posts: 1974
Joined: Tue May 02, 2017 11:13 am
Location: Close to FRA, Germany

Re: Elliptic stuff

Post by Walter »

Thanks but I must not access the first link from Germany (access to project Gutenberg blocked due to some legal issue).
DM42 SN: 00041 β
WP 43S running on this device

HP-35, HP-45, ..., HP-35S; WP 34S & WP 31S for obvious reasons; DM16L
gmac42
Posts: 64
Joined: Fri Jun 01, 2018 11:30 am

Re: Elliptic stuff

Post by gmac42 »

Walter wrote:
Sun May 16, 2021 10:32 pm
Thanks but I must not access the first link from Germany (access to project Gutenberg blocked due to some legal issue).
You've got mail.
DM41X #542, DM42 #650, DM41L #801, HP 41CX, HP 41CV, HP 50G, HP11C, TI 89
User avatar
Walter
Posts: 1974
Joined: Tue May 02, 2017 11:13 am
Location: Close to FRA, Germany

Re: Elliptic stuff

Post by Walter »

Thanks a lot!
DM42 SN: 00041 β
WP 43S running on this device

HP-35, HP-45, ..., HP-35S; WP 34S & WP 31S for obvious reasons; DM16L
Post Reply