Number Theory

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

By Abraham Albert Ungar

ISBN-10: 1482236672

ISBN-13: 9781482236675

The notion of the Euclidean simplex is necessary within the examine of n-dimensional Euclidean geometry. This booklet introduces for the 1st time the concept 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 common mild on hyperbolic geometry and specified 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 e-book performs a common computational function, which extends some distance past the area of designated relativity.

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

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

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