By Abraham Albert Ungar
The notion of the Euclidean simplex is necessary within the research of n-dimensional Euclidean geometry. This e-book introduces for the 1st time the idea that of hyperbolic simplex as an enormous proposal in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds normal mild 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 e-book, and somewhere else, that the computation language of Einstein defined during this e-book performs a common computational position, which extends a long way past the area of distinctive relativity.
This publication will motivate researchers to take advantage of the author’s novel options to formulate their very own effects. The booklet presents new mathematical tools, such as hyperbolic simplexes, for the research of hyperbolic geometry in n dimensions. It also presents a brand new examine Einstein’s specified relativity concept.
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Extra info for Analytic Hyperbolic Geometry in N Dimensions: An Introduction
Analytic Hyperbolic Geometry in N Dimensions: An Introduction by Abraham Albert Ungar