This volume is intended as an introduction into numerical analysis for
students in mathematics, physics, and engineering. Instead of attempting
to exhaustively cover all parts of numerical analysis, the goal is to
guide the reader towards the basic ideas and general principles by way
of considering main and important numerical methods. Given the rapid
development of numerical algorithms, a reasonable introduction to
numerical analysis has to confine itself to presenting a solid
foundation by restricting the presentation to the basic principles and
procedures.