Numerical analysis: an introduction

This is a text in numerical analysis which is taken to mean the branch of mathematics that develops and analyzes computational methods dealing with problems arising in classical analysis, approximations theory, the theory of equations, and ordinary differential equations. The topics in this book are presented with a view towards stressing basic principles and maintaining simplicity and teachability as far as possible. Topics that require a level of technicality that goes beyond the standard of simplicity imposed are referenced in bibliographic notes at the end of each chapter. This book does not cover numerical linear algebra, nor the numerical solution of partial differential equations, as the author takes the view that these are now separate disciplines. It is intended that the student has a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analysis, and differential equations.