Fundamental Problems of Algorithmic Algebra

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Summary: Make More Powerful Computer Algebra?
Review: There was once a time when computer algebra seems amazingly exotic. Sure, computers could crunch raw numbers. But no surprises there. It was quite another event to see a computer factor a simple algebraic expression, or perform symbolic integration. Wow!

But now, computer algebra is available on such widespread packages as Mathematica and Maple. This book studies the subject, as a coherent entity. (Wish it had been available in 1982!) For those of you who might be interested in developing ever more sophisticated techniques in this field. It explains the ideas clearly. It shows that you can understand it systematically. And not as an ad hoc, grab bag of unrelated but nifty tricks. Brings together in one volume ideas that are scattered throughout many scientific papers over decades.