NUMERICAL METHODS AND COMPUTER PROGRAMMING focuses mainly on numerical method envisaged in almost every field of science and engineering and essentially in any type of work that requires calculations to give precise solutions. The point of numerical analysis is to analyze methods that are used to give approximate number solutions to situations where it is unlikely to find the real solution quickly and to try and improve upon these methods so as to reduce the amount of error generated by computer calculation. The book has embed in its contents the use of computing programming describe algorithmic solutions whose basic ideas are common to a variety of mathematical problems. By means of the methods presented, the reader will acquire the skills besides a fundamental knowledge to successfully work on related subjects in this field. Computing approach enables solution of complex problems with a great number of very simple operations.