Computer-Algebra: The End of Mathematics? (German)
B. Buchberger
Mitteilungen der Deutschen Mathematiker-Vereinigung, Vol. 2, pp.16-19, 2000.
(Englisch Translation in: ACM SIGSAM Bulletin, March 2002.
Danish Translation in: Matilde, Nr. 8, February 2000, pp. 4-7, Univ. of Kobenhavn.)
ABSTRACT:
Mathematical software systems like Mathematica, Maple, Derive, etc. are based on
significant advances of the area of mathematics that is called "computer algebra" or
"symbolic computation". In fact, most of what students learn during their math
education in high-school and also in the first semesters of math curricula at
the universities is now available "by pressing the appropriate buttons" in math
systems. Is math education, hence, superfluous? In the three sections of this paper
we answer this question for non-mathematicians, for mathematicians, and for (future)
students of mathematics.