The idea of the present book is to make a student with normal mathematical background comfortable with the subject of numerical methods. The book would also serve as a reference for a practicing engineer who is interested in applications. The contents of the book have been laid out in a simple manner such that the essence of each numerical method is clearly stated. This would make it easy for an engineer and an early researcher/graduate student to follow the material presented Contents Preface, Acknowledgments, 1 Preliminaries, 2 Solution of linear equations, 3 Computation of eigenvalues, 4 Solution of algebraic equations, 5 Interpolation, 6 Interpolation in two and three dimensions, 7 Regression or curve fitting, 8 Numerical Differentiation, 9 Numerical Integration, 10 Initial value problems, 11 Boundary value problems (ODE), 12 Introduction to PDEs, 13 Laplace and Poisson equations, 14 Advection and diffusion equations, 15 Wave equation, 16 Application Examples, Epilogue, Beyond the book - the way ahead, Researchers developing their own code, Users of commercial code, Where does one look for help?, Free resources, Licensed resources, Index.