For better understanding and utilization of the modern computational techniques, it is necessary to be conversant with the formulations of mathematical analysis, especially the numerical and statistical analysis. This book presents various numerical methods in a simpler and useful form to the students and researchers who are interested in solving complex scientific and engineering problems. The text discusses in detail the basic numerical methods such as Wegstein, Newton, Jordan, Gauss-Seidel, Householder, Golub and Robbins-Monro, Conjugate Gradient, Preconditioning by Incomplete Decomposition, Least Squares, and Levenberg-Marquardt. To fully comprehend the theory, many real-life problems from the areas of electricity, hydraulics, management, strength of materials, electronics etc. are considered at the end of each chapter and are completely worked-out by using these methods. This profusely illustrated text is designed as a textbook for advanced undergraduate and postgraduate students in mathematics, computer science and engineering. Also, it enables researchers to apply these numerical techniques to scientific and engineering problems.