Computer mathematics examines various aspects of mathematics including an extensiveoverview of computational mathematics. It includes definitions of predictable phenomena,theory of models and of groups, programming models, introduction to formalcomputer-aided proof, theory of the demonstration, working group on core courses,finite model theory, calculability and incompleteness, programming models, combinator,mathematical logic, foundations of computing, provides the reader with insightsinto the development of its history, so as to understand the general theory of algorithms,recursive functions, introduction to complexity, theory of finite models and applications,approximate verification and complexity, working on fundamental courses, preliminaryintensive logic.