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ISBN10: 9812564578, ISBN13: 9789812564573, [publisher: World Scientific Pub Co Inc] Hardcover Fast Shipping - Safe and Secure 7 days a week!
[center moriches, NY, U.S.A.] [Publication Year: 2005]

World Scientific Publishing Company, Date: 2005-09-30. Hardcover. Used:Good. 2005. World Scientific Publishing Company ISBN 9812564578 9789812564573 [US]

ISBN10: 9812564578, ISBN13: 9789812564573, [publisher: World Scientific Publishing Co Pte Ltd, Singapore] Hardcover Hardcover. 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 directed gyrosegments that add according to the gyroparallelogram law just as vectors are equivalence classes of directed segments that add according to the parallelogram law. In the resulting "gyrolanguage" of the book one attaches the prefix "gyro" to a classical term to mean the analogous term in hyperbolic geometry. The prefix stems from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Gyrolanguage turns out to be the language one needs to articulate novel analogies that the classical and the modern in this book share.The scope of analytic hyperbolic geometry that the book presents is cross-disciplinary, involving nonassociative algebra, geometry and physics. As such, it is naturally compatible with the special theory of relativity and, particularly, with the nonassociativity of Einstein velocity ...