Automated Discovery in Elementary Extrema Problems

  • Francisco Botana
  • José L. Valcarce
Conference paper

DOI: 10.1007/11758525_63

Part of the Lecture Notes in Computer Science book series (LNCS, volume 3992)
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Francisco Botana
    • 1
  • José L. Valcarce
    • 2
  1. 1.Departamento de Matemática Aplicada IUniversidad de VigoPontevedraSpain
  2. 2.Departamento de MatemáticasIES PontepedriñaSantiagoSpain

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