A Shift to Discrete Mathematics

mathematics
The mathematics of the nineteenth and twentieth century mathematics has been predominantly of the continuum in which the analysis, its power and impact on engineering applications, has played a role.

The advent of computers, with its enormous computing power, with its enormous speed, versatility, power of graphical representation, modeling possibilities for bypassing the mathematical formulation of classical … has opened many different fields, originated not in physics, as the developments of previous centuries, but in many other sciences such as economics, organizational science, biology, … whose problems were opaque, partly because of the enormous mass of information had to be taken up to find valuable mathematical insights that could lead to resolution processes of the difficult problems raised in these fields.

Moreover, the emphasis on discrete algorithms, used in computer science, as well as the modeling of various phenomena by computer has led to a shift of emphasis in the current mathematics to mathematics discreet. Portions of it are sufficiently basic as to be part of a successful initial program of mathematics. The combining classical and modern aspects of it, such as graph theory and combinatorial geometry, could be considered as suitable candidates. The elementary theory of numbers, never to disappear from the programs in some countries could be another.

Attempts have been made to introduce these elements and the like belonging to discrete mathematics in early mathematics education. It happens that this seems only possible at the expense of other portions of mathematics more deeply rooted in not seen how this can be without. Although it seems quite obvious that the flavor of the mathematics of the future will be quite different from today because of the presence of the computer still is not clear how this will be reflected in the contents of primary and secondary schools.

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