Mathematica is an integrated environment for symbolic transformation of mathematical formulas. This environment has applications in scientific computing, scientific visualization and education. Mathematica provides the ability to describe visualized objects in form of mathematical formulas and expressions. Such descriptions are more clear and concise than low-level C or C++ code. Many visualiza...

The paper deals with defining abstract algebraic structures in symbolic computation systems. By adopting a parameterized and object oriented approach, the categories defined for the algebraic structures will be particularized in specific domains. This approach has a good deal of efficiency, conceptual and practical advantages. The paper introduces constructive and algorithmic definitions for th...