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

By Abraham Albert Ungar

The suggestion of the Euclidean simplex is critical within the research of n-dimensional Euclidean geometry. This e-book introduces for the 1st time the concept that of hyperbolic simplex as a huge proposal in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds normal gentle 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 e-book, and in other places, that the computation language of Einstein defined during this ebook performs a common computational function, which extends a ways past the area of precise relativity.

This e-book will inspire researchers to exploit the author’s novel options 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 thought.

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