This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the book. This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, or the sciences. Nonlinear Equations, Linear Systems, Iterative Methods, Polynomial Interpolation, Numerical Integration, Differential Equations, Nonlinear Optimization, Approximation Methods For all readers interested in numerical analysis and scientific computation.