Contents: 1. Numerical computation. 2. Linear system of equations. 3. Solution of algebric and transcendental equations. 4. Numerical differentiation. 5. Finite differences and interpolation. 6. Curve fitting. 7. Numerical integration. 8 numerical solution of ordinary and partial differential equations. The book is designed as an introductory undergraduate and graduate course for engineering, science and mathematics students of all disciplines. The Numerical Methods book covers all the major aspects such as numerical computation; linear system of equations; solutions of algebric and transcendental equations; numerical differentiation; finite differences and interpolation; curve fitting, regression and correlation; numerical integration; and solutions of ordinary 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, exercise questions will be given.