Over the last quarter Century and especially during the last decade, a dramatic `re- experimentalization' of Mathematics has begun to take place. In this process, fueled by advances in hardware, software and theory, the computer plays a laboratory role for pure and applied mathematicians; a role which in the eighteenth and nineteenth centuries the physical sciences played much more fully than in our century. Operations previously viewed as non-algorithmic, such as indefinite integration, may now be performed within powerful symbolic manipulation packages like Maple, Mathematica, Macsyma, Scratchpad to name a few. Similarly, calculations previously viewed as ``practically'' non-algorithmic or certainly not worth the effort, such as large symbolic Taylor expansions are computable with very little programming effort.
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