Analysis of Numerical Methods

For a modest price you can own a cornerstone in the discipline of Numerical Analysis. There has been many changes in computing and the study of numerical analysis, but this reference provides a wonderful foundation to this topic. The work on numerical methods for ordinary differential equations is a true asset to the book, but this big little book contains material on a variety of topics. All the contemporary undergraduate textbooks can trace some part of their structure to this source. This book has surprising breadth in the topics it covers, but still supplies a depth of analysis for many of the numerical methods. This book is a wonderful reference and everyone that has any work to do in Numerical Analysis should have this book on their shelf.

This is a mathematics book, not a cookbook. It's worth buying this classic just to read the hidden sentence formed by the first letter of each sentence in their preface.

This is the classic work that explains in detail why numerical methods perform well or poorly. It's the best book I've ever read on Numerical Analysis. Great problems too! From Numerical Linear Algebra to PDE's the basic theory is explained beautifully. If you've ever wondered why iterating the corrector in the predictor-corrector method for solving ODE's doesn't do any good this is the book for you. As an inexpensive Dover paperback this is a real bargain!