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Rapid development of science, equipment and technologies in modern society demands the training of specialists, owning profound scientific knowledge in the field of economy, informatics and especially mathematics as mathematical ideas and methods are applied in many spheres of life of society. This article is devoted to questions of improvement of mathematical education on the basis of innovative approaches. In it the essence of a method of mathematical induction is opened, possibilities of itsdoi:10.15550/asj.2014.08.180 fatcat:ppzccgy63nfennrsm2eayv6exe