Nonlinear equations are found throughout science and engineering across a wide variety of disciplines. These are a significant part of applied mathematics and much effort has been devoted to their study and solution. We will consider single and multi-variable problems as well as real and complex numbers. Various theories will be presented, but always with a focus on what works best—that is, the most practical approaches. In the literature of applied mathematics, these are known as robust algorithms.
I started writing novels (24 so far) and textbooks (47 so far) after semi-retiring from a long career in industry. In so doing, I hope to entertain, encourage, and also pass on what I have learned.