Chapter 4: Cartesian Geometry

Rene Descartes (1596 – 1650) was an interesting character. Educated as a lawyer, he never practiced law. Instead, he determined to become a mathematician, and later, a philosopher. Back during the time that Descartes lived, unlike today, people of great learning and intellect were treated like celebrities. Many were afforded envious lifestyles by the royal…

Chapter 3: Number Theory, Part 1

This chapter is about zero, not nothing, but zero, the number. It is interesting that it took so long for humans to include zero in the numbering system, since it has such an important place in the value system. However, it is a very dangerous concept because it actually creates a discontinuous point when used…

Chapter 2: Euclidean Geometry

The society of ancient Greece was a marvelous era for civilization. Certainly, like any society, they had their problems. The cities on the Peloponnesian Peninsula were almost constantly at war. And they kept slaves. Some of their social practices, especially those of the Spartan soldiers, seem repugnant today. But that society contained a spark, a…

Chapter 1: Introduction

Albert Einstein should have had more faith in his own conclusions. In physics, it was a heady time. Special Relativity had, quite literally, stood the scientific community on its head. Centuries of accumulated thought had been rendered outdated and incomplete. And soon after that, Quantum Mechanics would be born; another new conceptual description of matter…

Preface

There is no other book that is quite like this one. The author is aware that that is not necessarily a good thing. This book contains an alternate description for the most fundamental aspects of nature and mathematics, a new geometry, and a different definition to use to describe the phenomena that surround us. Many,…