The study of algorithms, which use numerical approximation for the solution of problems of mathematical analysis, is termed as numerical analysis. It has applications in the diverse areas of physical sciences and engineering. Direct and iterative methods and discretization are generally employed in numerical analysis. An important area of this field is the study of errors. Errors are introduced in the solutions obtained through numerical analysis due to round-off, truncation and discretization methods. The major sub-disciplines within this field are interpolation, extrapolation and regression, mathematical optimization, numerical integration, numerical differential equation, etc. This textbook provides comprehensive insights into numerical analysis. Most of the topics introduced in this book cover the principles and methodologies used in numerical analysis. This textbook, with its detailed analyses and data, will prove immensely beneficial to professionals and students involved in this area at various levels.