This long-awaited Second Edition of Phillips and Taylor's highly successful text book provides a comprehensive introduction to numerical analysis. Over the two decades since the First Edition appeared there has been a dramatic explosion in computing power, from desk machine to personal computer, developments which have greatly enhanced the sheer fun of studying numerical analysis. The Second Edition builds on this, giving more emphasis to algorithms and encouraging their implementation on the pc.This text book is not simply a 'recipe book' of numerical methods; it is one for serious students and researchers who want to understand the underlying theory, solve real numerical problems and write programs of their own"