Analytic Hyperbolic Geometry in N Dimensions: An by Abraham Albert Ungar

By Abraham Albert Ungar

The proposal of the Euclidean simplex is necessary within the research of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the concept that of hyperbolic simplex as a big thought in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds common gentle on hyperbolic geometry and specified 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 e-book performs a common computational position, which extends a long way past the area of certain relativity.

This ebook will inspire researchers to take advantage of the author’s novel thoughts to formulate their very own effects. The booklet 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 exact relativity concept.

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