摘要
证明是高等数学的重要部分,加强证明教学有助于提高学生对数学命题的认识和解决实际问题的能力,养成严谨思考问题的习惯。数学归纳法是由特殊命题归纳出一般命题的一种证明方法,通过实例介绍了它在高等数学证明中的应用。
Proof is an important part of higher mathematics. Emphasis on proof teaching may well help students have a better understanding of mathematical proposition, improve their ability to solve practical problems and form a good habit of pondering a problem in a careful manner. Mathematical induction is a reasoning method by which a general principle is induced by a particular proposition. This paper introduces the application of inductive method to the proof of higher mathematics by giving specific instances.