Concepts in Numerical Methods

This introductory text teaches foundational concepts in numerical mathematics. It uses real-world examples, representational graphs, solved tutorials, practice problems, flow diagrams, algorithms and computer programs to enrich knowledge and strengthen understanding. It covers contemporary numerical method techniques, such as root finding methods, difference calculus and interpolation principle. It explains existing traditional techniques used in solving engineering and process-based tasks involving numerical differentiation and integration, such as Euler's method, rectangular method, trapezium method and the Runge-Kutta family of methods. It discusses initial value problems, uniform partition, non-uniform partition, Cauchy equation, Lagrange interpolation and boundary value problems. Finally, it also covers root finding methods including fixed-point, bisection, regula- falsi, Secant and Newton methods. The book is ideal as a one-semester text on numerical methods and its related disciplines. It is also relevant to other readers as a reference manual.