Numerical analysis is a branch of mathematics that solves continuous problems using numeric approximation. It contains designing methods that give estimated but numeric solutions, which is useful in cases where the exact solutions is impossible or prohibitively expensive to calculate. Numerical analysis also contains characterizing the convergence, accuracy, stability and computational complexity of these methods. MATLAB is widely used for applied numerical analysis in engineering, computational finance and computational biology. It delivers a range of numerical methods for: Interpolation, extrapolation and regression, differentiation and integration; linear systems of equations; eigenvalues and singular values; Ordinary differential equations; partial differential equations. Numerical methods using MATLAB gives the fundamental theory of each method rather that providing a detailed numerical analysis. This book provides a fundamental introduction to numerical analysis and a reference tool for students, professionals and researchers in mathematics, computer science, physical sciences and engineering.