By Abraham Albert Ungar
The proposal of the Euclidean simplex is critical within the examine of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the idea that of hyperbolic simplex as a major notion in n-dimensional hyperbolic geometry.
Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds common mild on hyperbolic geometry and detailed relativity. numerous authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her booklet, and somewhere else, that the computation language of Einstein defined during this ebook performs a common computational function, which extends a long way past the area of certain relativity.
This booklet will inspire researchers to take advantage of the author’s novel concepts to formulate their very own effects. The ebook presents new mathematical tools, such as hyperbolic simplexes, for the learn of hyperbolic geometry in n dimensions. It also presents a brand new examine Einstein’s particular relativity conception.
Read or Download Analytic Hyperbolic Geometry in N Dimensions: An Introduction PDF
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Analytic Hyperbolic Geometry in N Dimensions: An Introduction by Abraham Albert Ungar