Read e-book online Analytic Hyperbolic Geometry in N Dimensions: An PDF
By Abraham Albert Ungar
The suggestion of the Euclidean simplex is critical within the examine of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the concept that of hyperbolic simplex as a major inspiration in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds normal gentle on hyperbolic geometry and exact 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 ways past the area of detailed relativity.
This publication will inspire researchers to take advantage of the author’s novel concepts to formulate their very own effects. The e-book 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 specified relativity concept.
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Analytic Hyperbolic Geometry in N Dimensions: An Introduction by Abraham Albert Ungar