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.
Download the newest version under the LGPL here: perisicRingAllv3.jar (for a zip file see perisicRingAllv3.zip).

This project is now als on GitHub
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.
External sites using or citing com.perisic.ring:
- Java Applet of Bernhard Keller's site on Quiver mutation.
- Gincario D'Urso on primality testing
- Dr Mikes on polynomial reduction.
- The package is cited by Heinz Kredel.
- Please contact me if you are using the package and want your site included here.
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.

Installation guidelines:

There is nothing special to consider. This package is a Java package as every other Java package from the textbook.
Some classes contain a main() method for testing purposes. 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 ringPerisicAllv2.jar and the examples, say IntegerRingExample.class into your directory.
Run the example for instance with the command
java -cp "perisicRingAllv2.jar;." IntegerRingExample

© by Marc Conrad, 2002-2020. The material on this page is presented "as is" and no warranty is implied. The com.perisic.ring library is distributed under the terms of the GNU Lesser General Public License (LGPL). Please cite this package as: Conrad, Marc (2003), com.perisic.ring - A Java package for multivariate polynomials over rings, available at: http://ring.perisic.com
The webspace for this project is kindly provided by the Perisic Guesthouse (www.perisic.com).