[PDF.74xn] Analytic Hyperbolic Geometry: Mathematical Foundations and Applications
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Analytic Hyperbolic Geometry: Mathematical Foundations and Applications
Abraham A. Ungar
[PDF.yx25] Analytic Hyperbolic Geometry: Mathematical Foundations and Applications
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| #6521604 in Books | World Scientific Publishing Company | 2005-09-30 | Original language:English | PDF # 1 | 8.32 x1.22 x6.08l,1.81 | File type: PDF | 484 pages | ||2 of 2 people found the following review helpful.| The Book Provides a Novel Gyrovector Space Approach to Analytic Hyperbolic Geometry|By AnastasiaND|Group theory has held center stage in mathematics and science due to its symmetry resulting from the associative law. Nonassociative algebras were considered awkward, hard to work with, and lacking the grace found with groups. Nonassociative algebras were often confined to the sid||?This new book by Ungar is very well-written, with plenty of references and explanatory pictures."
This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. Gyrovectors are equivalence classes of di...
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