Introductory Numerical Analysis

Numerical analysis entails the study of algorithms utilizing numerical approximation to address mathematical analysis problems, with applications spanning various domains like physical sciences and engineering. Key techniques employed in numerical analysis include direct and iterative methods, as well as discretization. An essential aspect of this field involves error analysis, considering errors introduced in solutions due to round-off, truncation, and discretization methods. Major sub-disciplines within numerical analysis encompass interpolation, extrapolation, regression, mathematical optimization, numerical integration, numerical differential equations, and more. This book is a valuable compilation of topics, ranging from the basic to the most complex theories and principles related to the field of numerical analysis. Different approaches, evaluations, methodologies and advanced studies on this field have been included herein. This book will serve as a reference to a broad spectrum of readers.