The concept of the Euclidean simplex is important in the study
of n-dimensional Euclidean geometry. This book introduces, for the
first time, the concept of hyperbolic simplex as an important
concept in n-dimensional hyperbolic geometry.
Following the emergence of the author s gyroalgebra since 1988,
the author has crafted gyrolanguage, the algebraic language that
sheds natural light on hyperbolic geometry and special relativity.
Several authors have successfully employed the author s gyroalgebra
in their exploration for novel results. Furthermore, Francoise
Chatelin noted in her book, and elsewhere, that the computation
language that Einstein described in this book plays a universal
computational role, which extends far beyond the domain of special
relativity.
This book will encourage researchers to use the author s novel
techniques to formulate their own results as this book provides new
mathematical tools, like hyperbolic simplexes, for the study of
hyperbolic geometry in n dimensions. Furthermore, it provides a new
look at Einstein s special relativity theory. "
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