The subject of ancient reckoning of time and space can only be inferred from the logic of numbers, with very few exceptions of data in the historical record. Many historically significant numbers exist in the historical record of different ancient cultures. But, the method for computing those numerical results remains a theme of speculation. Many of the ancient Babylonian clay tablets that exist reflect specific mathematical and geometrical problems, much like a school textbook of today. However, notebooks of the scientists who computed the astronomical meandering of the bodies in our solar system have yet to be found. The ancient reckoning system, especially the numbers/fractals coming out of the maya long count system, shed much light on such perceived problems as Fermat's Last Theorem.

In the book Fermat's Last Theorem: a Summation, we explore the relations of equivalency and non-equivalency posed by Pierre de Fermat centuries ago. Most analyses of Fermat's Last Theorem offer explanations at the level of the terms of the equation. We present all of our attempts at analysis of this conjecture, which ultimately offer an explanation at the level of the products of the terms of the equation. The products of the first and second terms of the equation must ultimately be added together to offer an equivalency with the third term. The impossibility of the relation of equivalency of the cited equation may be explained only at that particular level; the addition of the products.

Copyrighted © 1995, 1996, 1997, 1998, and 1999 by Charles William Johnson. All rights reserved. Reproduction prohibited. Printed in the United States of America. Published simultaneously in Mexico. This publication, or parts thereof, may not be reproduced in any form of photographic, electrostatic, mechanical, or any other method, for any use or purpose, including information storage or retrieval, without written permission from the author, except for the inclusion of brief quotations in a review.