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Abstract algebraic expressions. In other words, computers can not only deal with numbers, but also with abstract lymbob representing mathematical formulas This fact has been realized much later and is eery now gaining acceptance among mathematicians and engineers. [Franz Winkler, 1996]. Computer Algebra is that field of computer science and mathematics, where computation is performed on symbols representing mathematical objects rather than their numeric values. This thesis attempts to present a definition of computer algebra by means of a survey of hs main topics, together with its major application areas. The survey includes necessary algebraic basics and fundamental algorithms, essential in most computer algebra problems, together with some problems that rely heavily on these algorithms. The set of applications, presented from a range of fields of engineering and science, although very short, indicates the applied nature of computer algebra systems. |