By Abraham Albert Ungar
The inspiration of the Euclidean simplex is necessary within the learn of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the idea that of hyperbolic simplex as a big suggestion in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds common gentle on hyperbolic geometry and targeted relativity. numerous authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her ebook, and in other places, that the computation language of Einstein defined during this ebook performs a common computational function, which extends a long way past the area of detailed relativity.
This publication will inspire researchers to exploit the author’s novel innovations to formulate their very own effects. The booklet presents new mathematical tools, such as hyperbolic simplexes, for the examine of hyperbolic geometry in n dimensions. It also presents a brand new examine Einstein’s specific relativity idea.
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