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

By Abraham Albert Ungar

The idea of the Euclidean simplex is necessary within the learn 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 normal mild on hyperbolic geometry and designated 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 different places, that the computation language of Einstein defined during this ebook performs a common computational position, which extends a long way past the area of certain relativity.



This e-book will inspire researchers to exploit the author’s novel innovations 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 conception.

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