Essential Mathematical Concepts Needed by Users of Computer Algebra
R R Clements · Teaching Mathematics and its Applications An International Journal of the IMA · 1999
Computer algebra systems have great potential for professional engineers, scientists and technologists. They can reduce the tedium of routine manipulation required in some mathematical models and procedures, give a greater assurance of accuracy, and even enable users to apply techniques which they might find difficult without such assistance. But learning the basic concepts, particularly of the more sophisticated and capable computer algebra systems, is itself a mathematical activity. For instance, the formal concepts of functions must be grasped very clearly if the user is to get the best from these systems. This paper will explore those theoretical concepts, which may be seen as essential enabling skills for users of computer algebra systems.