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

Analytic Hyperbolic Geometry in N Dimensions: An Introduction

by Abraham Albert Ungar
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Book cover type: Hardcover
  • ISBN13: 9781482236675
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Taylor & Francis
  • Publisher Imprint: CRC Press
  • Publication Date:
  • Pages: 624
  • Original Price: GBP 190.0
  • Language: English
  • Edition: N/A
  • Item Weight: 980 grams
  • BISAC Subject(s): Arithmetic, Number Theory, and Geometry / Non-Euclidean

The concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry.

Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language that sheds natural light on hyperbolic geometry and special relativity. Several authors have successfully employed the author's gyroalgebra in their exploration for novel results. Françoise Chatelin noted in her book, and elsewhere, that the computation language of Einstein described in this book plays a universal computational role, which extends far beyond the domain of special relativity.

This book will encourage researchers to use the author's novel techniques to formulate their own results. The book provides new mathematical tools, such as hyperbolic simplexes, for the study of hyperbolic geometry in n dimensions. It also presents a new look at Einstein's special relativity theory.

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