Complex Numbers

This chapter reviews complex numbers, where the complex plane is described as a way of visualising complex numbers and various algebraic operations, and two functions for isolating the real and imaginary parts of a complex expression. The section on Complex Algebra examines topics such as the complex conjugate, powers of \(\mathrm{{i}}\) , complex exponentials, logarithms of a complex number, and the hyperbolic functions. Finally, there are a dozen worked examples.