A Java package for multivariate polynomials over rings

Welcome to the home page of

ring.perisic.com

featuring the Java class package

com.perisic.ring

which is a package of Java classes for multivariate and univariate polynomials over the rings: Z(integers), Q (rational numbers), R (real numbers), C (complex numbers), F_2 (field of two elements), Cyclotomic Number Fields, and more.
Also supported are modular rings K[X]/f(X) for a ring K and a polynomial f and Quotient Fields over rings. There are also classes for implementing universal rings. The newest version features an universal cyclotomic field.

As of December 13, 2003 the package is distributed under the LGPL

Find the newest version under LGPL here: perisicRingAllv2.jar (for a zip file see perisicRingAllv2.zip).
Feel free to ask questions or contribute ideas about this package by sending an email to ringlist@perisic.com, the official mailing list for the com.perisic.ring package. You can subscribe to this list by sending an email to ringlist-subscribe@perisic.com.

The javadoc documentation (API): Overview of all classes. Please refer to the individual documentation of the classes for further information. All classes are based on the abstract class Ring.
Abstract Classes - pure Computer Science meets pure Mathematics. Slides which have been used for a talk in York explaining some theoretical background of this project.
Mathematics meets Object Oriented Programming (poster for ECOOP 2004, 7 slides) as ppt, pdf, jpg/html.
Using the Synergies Between the Object-Oriented Paradigm and Mathematics in Joint Mathematics/Computer Science Porgrams (poster for ITiCSE 2004, 11 slides) as ppt, pdf, jpg/html, the abstract (pdf).
A talk on this project, prepared for the NETCA meeting at Danbury on January 13th, 2003.
Mapping multivariate polynomials into each other. A preprint discussing the technique used in this package. This is a pdf-file.
Approaching Inheritance from a "Natural" Mathematical Perspective and from a Java Driven Viewpoint: a Comparative Review. A preprint that discusses interesting object oriented aspects using com.perisic.ring as a reference model.
Exploring the synergies between the Object-Oriented paradigm and Mathematics: a Java led approach. A preprint discussing educational aspects of the package.
Some Examples and a small demo applet.
An applet for demonstrating how polynomials are mapped from one polynomial ring into another polynomial ring.
A real life example in the form of a Java Applet can be found on Bernhard Keller's site on Quiver mutation.
A history of recent changes.

This project is work in progress and questions, comments, suggestions, contributions (for instance new child classes of the Ring class) are highly welcome. Please contact me at
ring@perisic.com.

Installation guidelines:

There is nothing special to consider. This package is a Java package as every other Java package from the textbook.
Some class do contain a main() for test purpose. For, say, testing the UniversalCyclotomicRing class, type
java -cp "perisicRingAllv2.jar" com.perisic.ring.UniversalCyclotomicField
To run the examples do something similar to the following:

Copy the jar file, say ringPerisic.jar and the examples, say IntegerRingExample.class into your directory.
Run the example for instance with the command
java -cp "perisicRingAllv2.jar;." IntegerRingExample

Copyright notice and Disclaimer:

Email: ring@perisic.com. Please let me know if you use, link to, or cite this software.
WWW: www.ring.perisic.com
The com.perisic.ring library is distributed under the terms of the GNU Lesser General Public License (LGPL).
If you require the package under a different licence please contact me.
Disclaimer: The classes are provided "as is". There is no warranty implied by using the com.perisic.ring package.

Page generated by Marc Conrad.
Last update: July 27, 2006.
The webspace for this project is kindly provided by the Perisic Guesthouse (www.perisic.com).