数学解析の一つの教材としてのeとπ

概要

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Recently, computer software which can manipulate mathematical expression were developed. Especially, the Mathematica and the Maple are excellent ones. They can handle linear algebra; elementary calculation such as to expand or to find factors of mathematical expression; to find the roots of an algebraic equation; to find eigenvalues and corresponding eigenvectors; to find the solution of differential equation; So students can solve such problems using computer in short time. As a result they need not spend much time to get skill with those calculation. After that, they can learn theoretical aspect of mathematics in spare time. we present some topics and their excellent proofs which were published early period to student to learn that e and pi are not rational numbers ,and not algebraic numbers by simple elementary reasoning. qWe hope many students are deeply impressed with learning these topics.
帝京平成大学の論文
1999-12-30