Numerical Methods is a mathematical tool used by engineers and mathematicians to do scientific calculations. It is used to find solutions to applied problems where ordinary analytical methods fail. This book is intended to serve for the needs of courses Table of Contents: 1. Preliminaries 2. Non-Linear Equations 3. Linear Systems of Equations 4. Eigenvalues and Eigenvectors 5. Finite Differences and Interpolation 6. Curve Fitting 7. Numerical Differentiation 8. Numerical Quadrature 9. Difference