Numerical methods and analysis is a field of applied mathematics that focuses on developing and analyzing algorithms to solve mathematical problems numerically rather than symbolically. Numerical analysis involves approximating solutions to problems such as differential equations, integrals, and linear algebraic equations with a certain degree of accuracy. Techniques like interpolation, numerical integration, and iterative methods are commonly used. These techniques are vital for managing complex equations and large datasets across various fields. Most of the topics introduced in this book cover new techniques and the applications of numerical methods and analysis. Different approaches and methodologies and advanced studies on numerical methods have been included in this book. Those in search of information to further their knowledge will be greatly assisted by this book.