In our era, with the use of computational systems, most mathematical problems are solved approximately by fast and highly accurate methods. We call these "numerical" methods, and the field of mathematics that studies them is called Numerical Analysis or sometimes Computational Mathematics. These fields of mathematics have a large intersection but are not identical. 

The book covers the basic material taught in an undergraduate course in Numerical Analysis. It also presents, from the perspective of Computational Mathematics, Optimization Methods and methodologies of Computational Intelligence. Although it is aimed at undergraduate students, it develops topics that are of interest to graduate students as well. 

In each chapter, the theory is presented algorithmically with many solved examples. There is also a laboratory section where the algorithms are implemented in MATLAB (Octave) and Python. The programs have been written in such a way that the reader, who does not have much programming experience, can study the implemented algorithms. The solved and proposed exercises have been selected from applications in engineering science.