Focusing on overcoming complex scientific problems that cannot be solved through analytical methods by using numerical approaches, this study presents the fundamental principles and implementation processes of computer-aided computational methods as a comprehensive guide. Centering on core techniques such as the solution of linear equation systems, interpolation, extrapolation, curve fitting, numerical differentiation, and numerical integration, the work acts as a "Rosetta Stone" between applications by offering a comparative analysis of how the same operation can be executed across different software platforms. Enriched with technical details that balance speed and accuracy in scientific computing, the book serves as a functional reference source for researchers and engineers, both reinforcing fundamental knowledge and illuminating critical points to consider when transitioning between different digital tools.