The book is designed as an introductory undergraduate and graduate course for engineering, science and mathematics students of all desciplines. The Numerical Methods book covers all the major aaspects such as numerical computation; linear system of equations; solutions of algenric and transcendental equations; numerical differentiation; finite differences and interpolation; curve fitting, regression and correlation; numerical integration; and solutions of ordinay and partial differential equations. This book is written in simple and easy language, in systematic manner, student-friendly and numerical problem solving orientation. Balance is maintained between theory and its examples. Each concept can be justified with the help of examples (which is unavailable in other books) as student may come dilemma to find the solution of the concept from other books. So learning is with the help of examples, as examples are the best source to learn and remember that particular problem. At the end of chapters, excercise questions will be given