Complex Numbers

Complex numbers play a central role in modern mathematics, science and engineering. This book introduces the reader to the essential topic of complex numbers, one of the most useful developments in modern mathematics. The work concentrates on the most important concepts and results concerning complex numbers. The reader learns the significance of complex numbers, the early history of their origin, how they are used to solve algebraic equations, their geometric interpretation and the many operations involving them. A special feature of the book is the appendix covering Julia sets and the Mandelbrot set. The reader is shown how to produce images of the sets with Mathematica code. The theory of fixed points, and attracting and repelling n-cycles are also covered. The book reflects the experience of the author working with complex numbers in the area of physics. The target audience includes science, technology, engineering and mathematics students, as well as working professionals, researchers and teachers.