Introduction to Scientific Computing

This book provides a well-written and clear introduction to the main topics of modern numerical analysis - sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. It contains a large number of examples and exercises and many figures. This text is suitable for courses in numerical analysis and can also form the basis for a numerical linear algebra course.