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Researching a problem of convergence with Mathematica: history and visualization of a mathematical idea

F. Espinosa
Journal / Anthology

International Journal of Mathematics Education in Science and Technology
Year: 1997
Volume: 28
Issue: 5
Page range: 697-706

The visualization of mathematical concepts is not a trivial cognitive activity: to visualize is not the same as to see. In our context, to visualize is the ability to create rich, mental, images which the individual can manipulate in his mind, rehearse different representations of the concept and, if necessary, use paper or computer screen to express the mathematical idea in question. This report deals with finite mathematical processes and the passage to the limit. We are interested in the latter in terms of the visualization of a particular concept: uniform convergence of a series of continuous functions.

*Applied Mathematics > Visualization
*Arts and Humanities > History and Philosophy of Mathematics
*Mathematics > Calculus and Analysis > Series