Analytic hyperbolic geometry in N dimensions : an introduction /

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Bibliographic Details
Author / Creator:	Ungar, Abraham A., author.
Imprint:	Boca Raton, FL : CRC Press, [2014] ©2015
Description:	1 online resource (xix, 601 pages) : illustrations
Language:	English
Subject:	Geometry, Hyperbolic. Geometry, Hyperbolic.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13582461

Hidden Bibliographic Details
ISBN:	9781482236682 1482236680 1482236672 9781482236675
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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 la.
Other form:	Print version: Ungar, Abraham Albert. Analytic Hyperbolic Geometry in N Dimensions : An Introduction. Hoboken : Taylor and Francis, ©2014 9781482236675

Table of Contents:

Front Cover; Preface; Contents; List of Figures; Author's Biography; 1. Introduction; Part I: Einstein Gyrogroups and Gyrovector Spaces; 2. Einstein Gyrogroups; 3. Einstein Gyrovector Spaces ; 4. Relativistic Mass Meets Hyperbolic Geometry; Part II: Mathematical Tools for Hyperbolic Geometry; 5. Barycentric and Gyrobarycentric Coordinates; 6. Gyroparallelograms and Gyroparallelotopes; 7. Gyrotrigonometry; Part III: Hyperbolic Triangles and Circles; 8. Gyrotriangles and Gyrocircles; 9. Gyrocircle Theorems; Part IV: Hyperbolic Simplices, Hyperplanes and Hyperspheres in N Dimensions. 10. Gyrosimplex Gyrogeometry11. Gyrotetrahedron Gyrogeometry; Part V: Hyperbolic Ellipses and Hyperbolas; 12. Gyroellipses and Gyrohyperbolas ; Part VI: Thomas Precession; 13. Thomas Precession; Notations and Special Symbols; Bibliography.

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