MATHEMATICAL INDUCTION: AN ALGORITHMIC APPROACH AND MATLAB APPLICATIONS

Authors

Keywords: mathematical induction, algorithmic approach, MATLAB, recursion, visualization, mathematical modeling, pattern recognition

Abstract

The paper examines mathematical induction not only as a method of proof but also as a tool for algorithmic thinking. It demonstrates the capabilities of MATLAB for verifying mathematical formulas, visualizing data, and identifying new patterns. The inherent connection between induction and recursion is elucidated through practical examples.

References

1. Демидович Б.П. Сборник задач и упражнений по математическому анализу. 11-е изд. 1995.

2. Abdurahmonov B. Matematik induksiya metodi. – Toshkent: 2008.

3. Николаева С.А. Метод математической индукции. Методическое пособие для учителей и учащихся инженерных классов физико-математического профиля. – Ядрин: 2015.

4. Дьяконов В.П. MATLAB. Полный самоучитель. – Москва: ДМК Пресс, 2012.