Introduction to SageMath
by Luca De Feo
September 23-25, 2015. Bordeaux.
What is SageMath?
SageMath (formerly Sage) is a free open-source mathematics software system licensed under the GPL.
- It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, Pari/GP, GAP, FLINT, R and many more.
- Accesses their combined power through a common Python-based language, or directly via interfaces or wrappers.
Official downloads, docs, etc.: http://www.sagemath.org/
Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.
Facts and numbers
- Started in 2004 by William Stein;
- Developed by researchers, students and engineers for researchers and students (and engineers?);
- A community of >500 developers
- A company SageMath, Inc., established in 2015;
- 19K tickets in the issue tracker, 39K commits, 1.8M LOCs (native code);
- ~70 community meetings (Sage Days) in 10 years.
No, seriously, what is it?
- A distribution of mathematical software (NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R,…),
- A common Python-based interface, including interfaces to proprietary software (Magma, Mathematica, …),
- Native Python/Cython code implenting more functionality,
- Two web-based notebook interfaces developed in house + Jupyter integration,
- SageMathCloud, a spinoff project hosting collaborative math projects (Jupyter, Sage, LaTeX, …) in the cloud.
SageMath’s development model
- Open source, Community driven,
- Peer-reviewed contributions via issue tracker http://trac.sagemath.org.
You can contribute too!
On your own computer
Download from http://sagemath.org
Run one of these:
sage sage --notebook sage --notebook ipython
In the cloud
- Create an account on https://cloud.sagemath.com,
- Create a new project, then
- Create a new terminal and type
- Create a new SageMath Worksheet, or
- Create a new Jupyter Notebook.
- Create a new terminal and type
.pyfiles in your favorite editor,
- Link to SageMath library,
- Execute from the command line.
REPL (Based on IPython)
user@host:~$ sage ┌────────────────────────────────────────────────────────────────────┐ │ SageMath Version 6.8, Release Date: 2015-07-26 │ │ Type "notebook()" for the browser-based notebook interface. │ │ Type "help()" for help. │ └────────────────────────────────────────────────────────────────────┘ sage: 1+1 2 sage: _
- Web-based notebook format,
- If you know SageMath, you probably know this one,
- Not supported anymore, bound to disappear.
SageMath worksheet (SageMathCloud)
- New notebook application for collaborative writing,
- Exclusive to SMC,
- Destiny uncertain.
- Spinoff project of IPython
- Notebook webapp for generic scientific computing,
- Supports many different languages: Python, Julia, R, Haskell, Sage, …
Using subsystems from SageMath
In the REPL or SageMath worksheet
sage: %gp --> Switching to PARI/GP interpreter <-- pari: 1+1 2 pari: ffinit(13,2) Mod(1, 13)*x^2 + Mod(1, 13)*x + Mod(12, 13)
Not sure… upcoming?
If you have SageMath on your laptop
Check your version, 6.8 is best
user@host:~$ sage --version SageMath Version 6.8, Release Date: 2015-07-26
sage --notebook ipython
you might need to point your browser to http://localhost:8080.
If you have a SageMathCloud account
Simply open a new Jupyter Notebook.