emmy VS sicmutils

I'm a senior level programmer who recently became interested in furthering my math education.

I also just became aware of computational algebra systems like emmy: https://github.com/mentat-collective/emmy

My question is: is there an interactive math curriculum/textbook/etc that uses such a system to teach the math? I would find that a lot more engaging than learning math the old way!

This library bring these capabilities to Clojure:

https://github.com/mentat-collective/emmy

It's based on an older library for Scheme, by Sussman.

Of course! And referencing your other comment, during the ~2 year period I've been working on Emmy (on top of work by Colin Smith), I was keen to make the implementation more accessible and well-documented than the original.

There's still not a great map of the project (from primitives to general relativity), but many of the namespaces are written as literate programming explorations: https://emmy.mentat.org/#explore-the-project

Here's the automatic differentiation implementation/essay, for example: https://sritchie.github.io/emmy/src/emmy/differential.html

A rough sketch of the tower is:

- `emmy.value` and `emmy.generic` implement the extensible generic operations

- `emmy.ratio`, `emmy.complex` and `emmy.numbers` fleshes out the numeric tower

- `emmy.expression` and `emmy.abstract.number` add support for symbolic literals

Next we need an algebraic simplifier...

- `emmy.pattern.{match,rule,syntax} give us a pattern matching language

- `emmy.simplify.rules` adds a ton of simplification rules, out of which

- `emmy.simplify` builds a simplification engine

Actually the simplifier has three parts... the first two start in `emmy.rational-function` and `emmy.polynomial` and involve converting an expression into either a polynomial or a rational function and then back out, putting them into "canonical form" in the process. That will send you down the rabbit hole of polynomial GCD etc...

And on and on! I'm happy to facilitate any code reading journey you go on or chat about Emmy or the original scmutils, feel free to write at sam [at] mentat.org, or else visit the Discord I run for the project at https://discord.gg/hsRBqGEeQ4.

> You can get a feel for how unergonomic this is by avoiding the use of all arithmetic operators in your code and instead forcing yourself to use user defined plus(a,b), minus(a,b), assign(a,b), etc, or programming directly with the C blas api.

You've dramatically overstated your case, since that's true of every Lisp-like language.

Lisp is a perfectly suitable language for developing mathematics in, see SICM [0] for details.

If you want to see SICM in action, Emmy [1] is a Clojure project that ported SICM to both Clojure and Clerk notebooks (like Jupyter notebooks, but better for programmers).

[0] https://mitpress.mit.edu/9780262028967/structure-and-interpr...

[1] https://emmy.mentat.org/

Here's some Clojure code I wrote for the Emmy computer algebra system that implements polynomial interpolation with a few different algorithms described in Numerical Recipes:

https://github.com/mentat-collective/emmy/blob/main/src/emmy...

I discovered while writing this that I could express each of these algorithms as folds that consumed a stream of points, accumulating a progressively higher order polynomial.

Here's the same sort of thing but for rational function interpolation: https://github.com/mentat-collective/emmy/blob/main/src/emmy...

They seem to be in the middle of transitioning from the old repo.

There are some good resources here including some nicely formatted HTML versions of the book: https://github.com/sicmutils/sicmutils/wiki/SICM-and-FDG-Lea...

^ The Github repo contains a Clojure version of the Scheme library used by the book.

If you want to try this out, give the sicmutils Computer Algebra System a go (I’m the maintainer). Repo lives here: https://github.com/sicmutils/sicmutils

The library works in the browser as well, so interactive TeX rendering from Clojure symbolic expressions and functions is available at the quickstart page here: https://nextjournal.com/try/samritchie/sicmutils

I am the maintainer of the "sicmutils" computer algebra system in Clojure, and I think that you'll find it very nice for your project: https://github.com/sicmutils/sicmutils

https://github.com/sicmutils/sicmutils is a really interesting development in the direction(s) you stated in b. Since terms can be rendered in various ways (latex, js, etc.), they can be embedded in documents, web pages, etc. You can go from symbolic expressions to animated dynamic systems with relevant formulae.

- multiple stories about the same piece of code, but all with the ability to IMPORT the story as a library

I've been writing sicmutils[0] as a "literate library"; see the automatic differentiation implementation as an example[1].

A talk I gave yesterday at ELS demos a much more powerful host that uses Nextjournal's Clerk to power physics animations, TeX rendering etc, but all derived from a piece of Clojure source that you can pull in as a library, ignoring all of these presentation effects.

Code should perform itself, and it would be great if when people thought "LP" they imagined the full range of media through which that performance could happen.

[0] sicmutils: https://github.com/sicmutils/sicmutils

[1] autodiff namespace: https://github.com/sicmutils/sicmutils/blob/main/src/sicmuti...

[2] Talk code: https://github.com/sritchie/programming-2022

[3] Clerk: https://github.com/nextjournal/clerk

Hey, so fun to see this here! These demos feature work from https://github.com/sicmutils/sicmutils and the newly maintained-by-me Mathbox library.

I’m around and happy to answer any questions about the library, future plans, etc.

Give my SICMUtils computer algebra system a look as well, if you like Lisp / Clojure: https://github.com/sicmutils/sicmutils

Works on the web too, which is a big boost for sharing work.

It is good enough! Almost all code forms from the book live in the tests (see the FDG directory[0], for example), and there are a few nice environments like Nextjournal[1] where everything from the books works in the browser.

The Clojure port is quite fast, faster than the original for all benchmarks GJS has sent me, and more fleshed out. (That will change, as I've been pushing bugfixes and performance improvements back upstream as I go, as a meager gift to GJS for making this huge, amazing library in the first place.)

I actually wrote to GJS this morning asking for instructions on how to compile the original "scmutils", since I have the same problem. He responded saying he'll get back to me this afternoon, so I'll post here once I have details.

If you are still interested in getting the books going with MIT-Scheme, I put a decent amount of work into the exercises using the original codebase here[2], including a dockerized version of mit-scheme[3] and the scmutils package[4] that might be useful.

- [0] https://github.com/sicmutils/sicmutils/tree/main/test/sicmut...

- [1] https://nextjournal.com/try/samritchie/sicmutils/

- [2] https://github.com/sicmutils/sicm-exercises

- [3] https://hub.docker.com/r/sritchie/mit-scheme

- [4] https://hub.docker.com/r/sritchie/mechanics