Schwarz H.R., Waldvogel J. Numerical Analysis: A Comprehensive Introduction

Hoboken: Wiley, 1989. — 544 p.This introductory textbook discusses the standard topics of numerical analysis from an algorithmic point of view. Numerical examples are used as illustrations, and diagrams accompany the text to aid comprehension of the subject matter.
An introduction to numerical analysis, featuring an algorithmic approach. Provides the theoretical basis of each technique, then develops algorithms that are easily implemented on any personal computer. Methods of numerical analysis covered include systems of linear equations, linear programming, interpolation, approximation, and the finite element method. Contains many exercises and worked examples.