This is a combination of three books: Nonlinear Equations, Numerical Calculus, and Differential Equations. These three topics combine to form Numerical Methods. Nonlinear, integral, and differential 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. Various theories will be presented, but always with a focus on what works best—that is, robust algorithms.

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