Mathematical reasoning that to nowadays represents more essential to said verbal reasoning, plays a fundamental role in the development of our life and the progress of humanity. Areas such as, physics, social sciences, management and computer science. But in computing, we need more of a particular branch of the so-called mathematics: discrete mathematics. Discrete mathematics has become popular thanks to their applications in computer science. Notations and concepts of discrete mathematics are used to study problems in algorithmic and programming.
From the historical point of view, computing has roots dating back to the mathematics of antiquity, through two main currents: algorithms, which systematizes the notion of computation and logic that formalizes the notion of demonstration. These two aspects are already strongly present in Greek science: Archimedes and Diophantus 'calculate ' the area under a parable and solutions of systems of equations in integers, while Euclid has the notion of axiomatic system for elementary geometry, and Aristotle of speech abstract propositional logic. It is piquant to note that these two fundamental currents still constitute the basis of modern computing.
Until the 19th century great mathematicians such as Newton, Leibniz, Euler or Gauss, invented original methods of numerical and symbolic computation. These are intended for a human calculator, but their systematic nature already foreshadows what will serve to lay the first foundations of computer science. In parallel, at the turn of the 20th century, the axiomatic current conquers many branches of mathematics, with for corollary of the methodological questions giving rise to a new discipline - mathematical logic. This...
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...echnology, we illustrated the fact that the discrete mathematics is a science widely included in the tradition of other sciences. As in other areas, progress is based on number of clever and innovative ideas, an abstraction of mathematical nature, and relative distancing with respect to the technology of the moment. It 's the kind that could hatch most of the major innovations that have shaped the computer landscape. It should be noted that the fact that several branches 'unnecessary ' long considered pure mathematics but at least recognised as having some "depth", found unexpected applications in computer science. A historical source consists of very theoretical needs of understanding of formal calculations underlying mathematical analysis. It is thanks to these achievements that the public can now have the Internet, the Web, DVD, mobile phone, etc.
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