For one or two term undergraduate/graduate-level courses in Numerical Methods in mathematics departments (for numerical analysis courses), CS departments and engineering departments. This student-friendly introduction to the fundamental concepts and techniques of numerical analysis/numerical methods develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares students to use the techniques covered to solve a wide variety of practical problems. *Unique topical coverage - Provides extensive coverage of material not typically covered, or only briefly discussed, in other texts - e.g., eigenvalue problem for nonsymmetric matrices; improper integrals (removable singularities, derivative singularities, logarithmic singularities and infinite limits of integration); non-Dirichlet boundary conditions, the handling of artificial singularities and eigenvalue problems for one-dimensional boundary value problems; non-Dirichlet boundary conditions, the multigrid method and irregular domains for elliptic partial differential equations; (source and decay terms, non-Diric