GiANT (Graphical Algebraic Number Theory) is a graphical interface for working with number fields. It is written in Java and runs on top of the computer algebra system KASH 2.5. In its present state it can be used for teaching and presentations.
- Get Java. GiANT requires Java 1.4 or higher.
- Install KASH 2.5
- Download (or compile from source) GiANT.jar
- Place a copy of the
giant.kashfile in the same directory as the
- To launch GiANT, execute
java -jar GiANT.jar /PATH/kashdir. (
/PATH/kashdiris the path to the parent directory of the
Algorithms for dedicated computer algebra systems have developed rapidly. Nevertheless, user interfaces for these feature-rich systems have traditionally focused on command-line interaction. GiANT is a graphical user interface for computer algebra. It dynamically creates interactive diagrams, typesets formulas, and supports drag-and-drop manipulation of elements and polynomials. The result is a visual workspace designed to support mathematical intuition and reduce cognitive load versus text-only algebra systems.
- towers of fields
- working with the class group
- building towers of fields (video)
- working with fields using drag-and-drop (video)
If you use GiANT for research or development, please cite the paper: [GiANT: Graphical Algebraic Number Theory] (http://jtnb.cedram.org/cedram-bin/article/JTNB_2006__18_3_721_0.pdf), Aneesh Karve and Sebastian Pauli, Journal of Number Theory--Bordeaux (JTNB), Tome 18, no. 3 (2006), p. 721-727.
GiANT was introduced at the MP60 Number Theory Conference, Technical University of Berlin, 10 June 2005. GiANT was featured at Algebra and Computation 2005, Tokyo Metropolitan University, 16 November 2005.
GiANT runs on Java 1.4 or higher. It has been tested on Mac OS X and some pure UNIX flavors, but not so much on Windows. GiANT requires a working installation of KASH 2.5, which is free.
Future research & development
- Bi-directional integration of GUI elements and text shell elements. (Currently, elements created in the GUI are only available in the GUI, and vice versa.)
- See the Conclusion section of the GiANT paper for more ideas