Out of sight, lying computers!
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Abstract
The use of computational technology in the teaching-learning process of calculus poses a unique problem: simulating continuous processes with finite tools. If the programmer does not know computational arithmetic, and its differences with continuum arithmetic, he may make major mistakes. The basic concepts of calculus such as the concept of limit and derivative must also be carefully rethought. In this talk we will see some examples of mistakes that can be made due to ignorance of computational arithmetic and their corresponding explanation, as well as examples of how concepts and theorems of calculus should be reconsidered.
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References
Dahlquist, G., Bj¨orck, A. 2008 Numerical Methods in Scientific Computing, Volume 1. SIAM.
Kahaner, D., Moler, C. Nash, S. 1988 Numerical Methods and Software. Prentice Hall.
Overtone, M.L. Cómputo numérico con aritmética de punto flotante IEEE. (Con un teorema, una regla empírica y ciento un ejercicios). Aportaciones Matemáticas 19. SIAM-SMM. 2002
Mederos, O.B. y García, I.M. La representación en punto flotante de los números reales. Flujo ascendente de información. UCLV. Cuba. 1997