Automated Discovery in Elementary Extrema Problems
- Cite this paper as:
- Botana F., Valcarce J.L. (2006) Automated Discovery in Elementary Extrema Problems. In: Alexandrov V.N., van Albada G.D., Sloot P.M.A., Dongarra J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3992. Springer, Berlin, Heidelberg
This paper describes an enhancement of GDI, a dynamic geometry environment that uses symbolic techniques for performing automatic proof and discovery in elementary geometry. We report a successful add–on that automatically discovers critical points in elementary extrema problems specified via diagrams. Based in classical one variable calculus, the new module, Optimus, is a step ahead in the cooperation between dynamic geometry and computer algebra systems. It can be used in technology rich environments for mathematics education, adding new calculus abilities to dynamic geometry software.
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