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Analytic Hyperbolic Geometry—Mathematical Foundations and Applications

Analytic Hyperbolic Geometry: Mathematical Foundations and Applications

by Abraham A. Ungar

2005 (482 pages)

ISBN:9789812564573

Presenting a novel gyrovector space approach to analytic hyperbolic geometry, this text emphasizes the interdisciplinary collaborations required to further develop this extraordinary mathematical innovation and its applications.

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Table of Contents

Analytic Hyperbolic Geometry—Mathematical Foundations and Applications
Preface
Chapter 1	-	Introduction
Chapter 2	-	Gyrogroups
Chapter 3	-	Gyrocommutative Gyrogroups
Chapter 4	-	Gyrogroup Extension
Chapter 5	-	Gyrovectors and Cogyrovectors
Chapter 6	-	Gyrovector Spaces
Chapter 7	-	Rudiments of Differential Geometry
Chapter 8	-	Gyrotrigonometry
Chapter 9	-	Bloch Gyrovector of Quantum Computation
Chapter 10	-	Special Theory of Relativity: the Analytic Hyperbolic Geometric Viewpoint
Notation and Special Symbols
Bibliography