ENGLISH

Analytic Hyperbolic Geometry in N Dimensions : An Introduction

By Abraham Albert Ungar

Book information

Publisher
CRC, Taylor and Francis
Year
2014
ISBN
9781482236682, 1482236680
Language
english
Format
PDF
Filesize
5 MB (4945254 bytes)
Pages
616\616
Time added
2015-01-09 18:00:00

Description

This book introduces for the first time the hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. The extension of common Euclidean geometry to N dimensions, with N being any positive integer, results in greater generality and succinctness in related expressions. Using new mathematical tools, the book demonstrates that this is also the case with analytic hyperbolic geometry. For example, the author analytically determines the hyperbolic circumcenter and circumradius of any hyperbolic simplex.

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