Introduction - The first section contains a title page, a brief abstract, and the main introduction.

The Bairstow Method - The second section provides a brief description of the methodolgy of the Bairstow root extraction process, followed by a statement of its perceived failure mechanisms and application restrictions. These include divergence, hunting, unapplicability to equations with complex co-efficients, and the difficulty in the accurate extraction of multiple identical roots. These are all discussed in some detail and procedures and methods to overcome them described.

Spreadsheet Implementation - This Section provides a detailed description of the spreadsheet implementation of the Bairstow Method, with the above problem resolutions incorporated. A full description of the testing program undertaken to prove these implementations is also included. The spreadsheet used is Microsoft EXCEL.

Conclusions - General conclusions including a listing of measures to provide further improvement to applicability, accuracy and precision.

Appendix A - The first Appendix provides a detailed analysis of the reason for divergence and hunting. Justification of the manner in which these problems have been overcome in the spreadsheet implementations is also included.