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 research of n-dimensional Euclidean geometry. This e-book introduces for the 1st time the idea that of hyperbolic simplex as a massive notion in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds average gentle on hyperbolic geometry and particular relativity. a number of authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her e-book, and somewhere else, that the computation language of Einstein defined during this ebook performs a common computational position, which extends some distance past the area of designated relativity.

This e-book will motivate researchers to exploit the author’s novel innovations to formulate their very own effects. The publication offers 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 specific relativity concept.

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

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