Read e-book online Analytic Hyperbolic Geometry in N Dimensions: An PDF

Read e-book online Analytic Hyperbolic Geometry in N Dimensions: An PDF

By Abraham Albert Ungar

The proposal of the Euclidean simplex is necessary within the examine of n-dimensional Euclidean geometry. This ebook introduces for the 1st time the concept that of hyperbolic simplex as an immense idea 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 specific relativity. numerous authors have effectively hired the author’s gyroalgebra of their exploration for novel effects. Françoise Chatelin famous in her booklet, and in other places, that the computation language of Einstein defined during this publication performs a common computational function, which extends some distance past the area of designated 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 examine of hyperbolic geometry in n dimensions. It also presents a brand new examine Einstein’s particular relativity conception.

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

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