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Computer algebra: the end of mathematics?

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Bruno BuchbergerAuthors Info & Claims

ACM SIGSAM Bulletin, Volume 36, Issue 1

Pages 3 - 9

https://doi.org/10.1145/565145.565147

Published: 01 March 2002 Publication History

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Abstract

Mathematical software systems, such as Mathematica, Maple, Derive, and so on, are substantially based on enormous advances in the area of mathematics known as Computer Algebra or Symbolic Mathematics. In fact, everything taught in high school and in the first semesters of a university mathematical education, is available in these systems 'at the touch of the button'. Will mathematics become unnecessary because of this? In the three sections of this essay, I answer this question for non-mathematicians, for mathematicians and for (future) students of mathematics.

References

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B. Buchberger. An Introduction to Gröbner Bases. In B. Buchberger, F. Winkler, editors, Gröbner Bases and Applications. Cambridge University Press, 1998, pp. 3-31.

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[2]

F. Chyzak, P. Paule, O. Scherzer, A. Schoisswohl, B. Zimmermann. The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval. Experimental Mathematics, 10(1): 67 - 86, 2001.

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B. Buchberger. Should Students Learn Integration Rules? ACM SIGSAM Bulletin, 24(1): 10-17, 1990.

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Published In

ACM SIGSAM Bulletin Volume 36, Issue 1

March 2002

15 pages

ISSN:0163-5824

DOI:10.1145/565145

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Association for Computing Machinery

New York, NY, United States

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Published: 01 March 2002

Published in SIGSAM Volume 36, Issue 1

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Leung ABaccaglini-Frank ABokhove CNagari-Haddif GYerushalmy M(2024)Digital Curriculum Resources in Digital Mathematics Curriculum: Design Features and ImplementationHandbook of Digital Resources in Mathematics Education10.1007/978-3-031-45667-1_58(1143-1173)Online publication date: 22-Jun-2024
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Leung ABaccaglini-Frank ABokhove CNagari-Haddif GYerushalmy M(2023)Digital Curriculum Resources in Digital Mathematics Curriculum: Design Features and ImplementationHandbook of Digital Resources in Mathematics Education10.1007/978-3-030-95060-6_58-1(1-31)Online publication date: 16-Sep-2023
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Körtesi PSimonka ZSzabo ZGuncaga JNeag R(2022)Challenging Examples of the Wise Use of Computer Tools for the Sustainability of Knowledge and Developing Active and Innovative Methods in STEAM and Mathematics EducationSustainability10.3390/su14201299114:20(12991)Online publication date: 11-Oct-2022
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