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药在1740年左右。Euler在研究用级数方法解微分方程时发现了公式 e~(iy)=cosy+ising (1) 这里i=(-1)~(1/2)为虚数单位而y为任一实数。现在Euler公式已是中学与中等技术学校的数学教学的重要内容,但在中学里要严格地讲授它即使是学了初等微积分也是有困难的,因为(1)式的推导通常是在复变指数函数e~z的
The drug was around 1740. Euler discovered the formula e=(iy)=cosy+ising when studying the solution of differential equations using the series method. Here i=(-1)~(1/2) is an imaginary unit and y is any real number. The Euler formula is now an important part of mathematics teaching in secondary and secondary technical schools, but it is difficult to teach it in secondary schools even if elementary calculus is studied because the derivation of formula (1) is usually in complex Exponential function e~z