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  • Analytic Hyperbolic Geometryby Abraham A Ungar

    World Scientific Publishing Company 2005; US$ 118.00

    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... more...

  • A Gyrovector Space Approach to Hyperbolic Geometryby Abraham Ungar

    Morgan & Claypool Publishers 2009; US$ 45.00

    The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making... more...

  • Barycentric Calculus in Euclidean and Hyperbolic Geometryby Abraham Albert Ungar

    World Scientific Publishing Company 2010; US$ 104.00

    The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers.... more...

  • Analytic Hyperbolic Geometry in N Dimensionsby Abraham Albert Ungar

    CRC Press 2014; US$ 174.95

    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... more...

  • Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativityby Abraham Albert Ungar

    World Scientific Publishing Company 2008; US$ 144.00

    This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors . Newtonian velocity addition is the common vector addition,... more...

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