By Abraham Albert Ungar
The thought of the Euclidean simplex is critical within the research of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the idea that of hyperbolic simplex as a major idea in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds ordinary gentle on hyperbolic geometry and particular relativity. a number of authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her publication, and in other places, that the computation language of Einstein defined during this e-book performs a common computational position, which extends some distance past the area of targeted relativity.
This publication will motivate researchers to take advantage of the author’s novel innovations to formulate their very own effects. The publication offers 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 distinctive relativity concept.
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Analytic Hyperbolic Geometry in N Dimensions: An Introduction by Abraham Albert Ungar