A Journey into the World of Exponential Functions

Chapter 4 Concept of Complex Angle and Hyperbolic Functions

“From the standpoint of electrical engineering arithmetic, the use of complex numbers and complex angles has vastly increased the power of computation. Without complex numbers and complex angles, the corresponding arithmetical solutions for the behaviour of electric lines and nets, would often be virtually unattainable. From the standpoint of applied mathematics, electrical engineering has entered two fields of basic, or so-called pure, mathematics; namely, complex numbers in higher algebra, and complex angles in higher trigonometry — branches which fifty years ago had little expectation of being generally used, and which were then known only to a few specialists — and has harnessed ...