电子科线女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC 1.Complex numbers Euler's formula Leonhard Euler(1707-1783) e=cos0+jsin Representation of complex numbers in polar coordinates C=Cle A pioneering Swiss mathematician and physicist.He made important discoveries in fields as diverse as infinitesimal calculus and graph theory.He also introduced much of the modern mathematical terminology and notation,particularly for mathematical analysis,such as the notion of a mathematical function.He is also renowned for his work in mechanics,fluid dynamics,optics,astronomy,and music theory.cos sin j e j  = +   ◆ Euler’s formula ◆ Representation of complex numbers in polar coordinates Leonhard Euler(1707-1783) j C C e  = 1. Complex numbers A pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, astronomy, and music theory