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  • Analytic Hyperbolic Geometryby Abraham A Ungar

    World Scientific Publishing Company 2005; US$ 193.00

    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...

  • Hyperbolic Triangle Centersby Abraham A. Ungar

    Springer 2010; US$ 149.00

    After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein's special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry.... 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$ 134.00

    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

    Taylor and Francis 2014; US$ 99.95

    This book introduces for the first time the hyperbolic simplex as an important concept in n -dimensional hyperbolic geometry. The extension of common Euclidean geometry to N dimensions, with N being any positive integer, results in greater generality and succinctness in related expressions. Using new mathematical tools, the book demonstrates... more...

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