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

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By Abraham Albert Ungar

ISBN-10: 1482236672

ISBN-13: 9781482236675

The inspiration of the Euclidean simplex is necessary within the examine of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the idea that of hyperbolic simplex as a big notion in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the writer crafted gyrolanguage, the algebraic language that sheds ordinary mild on hyperbolic geometry and exact 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 publication performs a common computational position, which extends some distance past the area of unique relativity.

This booklet will motivate researchers to exploit the author’s novel suggestions to formulate their very own effects. The publication 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 unique relativity idea.

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

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