This book is aimed at students of Physical Sciences and Engineering and contains the material for the course on Numerical Analysis (or Computational Mathematics). Numerical Analysis is the branch of mathematical science that designs and constructs numerical methods for the approximate solution of various mathematical problems.

Its development is directly linked to the development of Computers. It is applied in many scientific fields, such as Statistics, Engineering, and Meteorology. Some of the problems it approximately solves are as follows:

• The solution of linear systems with a large number of equations and unknowns.
• The calculation of certain integrals when the corresponding indefinite integral cannot be expressed with elementary functions.
• The solution of differential equations when the general solution is impossible to find or is complex.

The chapters that are developed are:

1. Basic concepts
2. Solving nonlinear equations
3. Polynomial interpolation
4. Polynomial approximation
5. Numerical integration
6. Solving linear systems
7. Numerical solution of differential equations
8. Eigenvalues and eigenvectors of matrices.

Following a recap by chapter, general examples, and brief solutions to the exercises.