The rapid development of high speed digital computers and the increasing desire for numerical answers to applied problems have led to increased demand in the courses dealing with the methods and techniques of numerical analysis. Numerical methods have always been useful but their role in the present-day scientific research has become prominent. For example, they enable one to find the roots of transcendental equations and in solving non-linear differential equations. Indeed, they give the solution when ordinary analytical methods fail. This well-organized and comprehensive text, now in its second edition, aims at enhancing and strengthening numerical methods concepts among students using C++ and MATLAB programming, a fast emerging preferred programming language among software developers. The book provides a synthesis of both theory and practice. It focuses on the core areas of numerical analysis including algebraic equations, interpolation, boundary value problem, and matrix eigenvalue problems. The mathematical concepts are supported by a number of solved examples. Extensive self-review exercises and answers are provided at the end of each chapter to help students review and reinforce the key concepts. The book is intended for undergraduate and postgraduate students of Mathematics, Engineering, Statistics and Computer Application (BCA and MCA) courses. Besides, for researchers, this book will serve as a reference to get insight into their research problems numerically when analytic method fails.