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