This book is designed for use as a textbook for courses in: Computer and Numerical Programming, Tensor Analysis, Continuum Mechanics, Structural Dynamics, Vibrations and Stochastic Processes; such might be offered in Civil Engineering, Engineering Mechanics and Analysis, Earthquake Engineering, Ocean Engineering, Aeronautics Engineering and Astronautics Engineering. It is also intended to be used as a reference for engineers and as a comprehensive guide lines or code and methodological approach for researchers in order to establish engineering programming algorithms. Algorithms are presented compactly, consequently and frame ordered. Computer programs are written in FORTRAN.