By Abraham Albert Ungar
The suggestion of the Euclidean simplex is necessary within the examine of n-dimensional Euclidean geometry. This publication introduces for the 1st time the idea that of hyperbolic simplex as an enormous notion in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds typical 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 booklet, and in other places, that the computation language of Einstein defined during this booklet performs a common computational function, which extends a ways past the area of specific relativity.
This e-book will inspire researchers to take advantage of the author’s novel concepts to formulate their very own effects. The e-book 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 particular relativity concept.
Read Online or Download Analytic Hyperbolic Geometry in N Dimensions: An Introduction PDF
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