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Barycentric Calculus In Euclidean And Hyperbolic Geometry

, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry;

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Hyperbolic Triangle Centers

After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel;

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Introduction to Non-Euclidean Geometry

geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane;

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Analytic Hyperbolic Geometry

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry;

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Euclidean and Non Euclidean Geometries

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the;

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Foundations of Geometry

dimensions, plane hyperbolic geometry, and a Euclidean model of the hyperbolic plane. Detailed definitions, corollaries, theorems, and postulates are;

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Analytic Hyperbolic Geometry in N Dimensions

in 1988, the author crafted gyrolanguage, the algebraic language that sheds natural light on hyperbolic geometry and special relativity. Several;

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The "Golden" Non-Euclidean Geometry

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing;

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Introduction to Classical Geometries

approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the;

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On Beyond Euclid

Propositions--more or less in order--and see how each one generalizes--or does not generalize--to hyperbolic and other non-Euclidean spaces. Few people;

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Crocheting Adventures with Hyperbolic Planes

, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and;

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Crocheting Adventures with Hyperbolic Planes

, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and;

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Euclidean and Non-Euclidean Geometry

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary;

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The Geometry of Special Relativity

leading to Einstein's general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus;

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Geometry

Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry;

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Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries

sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises. For its sophisticated;

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Modern View of Geometry

historical background of Euclidean geometry and an elementary summary of set theory and propositional calculus. Subsequent chapters explore;

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Lobachevsky Geometry And Modern Nonlinear Problems

mathematics, physics and natural science in general in the context of non-Euclidean hyperbolic geometry.;

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An Introduction to Riemannian Geometry and the Tensor Calculus

The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and the more advanced;

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An Introduction to Geometric Reasoning in Four Settings

other two, termed non-Euclidean, have lines and figures confined to the surface of a sphere in Spherical Geometry and to a special hyperbolic;

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Classical Geometries in Modern Contexts

dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general;

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London Mathematical Society Student Texts

algebra, while the early chapters on hyperbolic geometry and geometric structures on surfaces can profitably be read by anyone with a knowledge;

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College Geometry

, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept;

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Geometry and Discrete Mathematics

isometries Graph theory and platonic solids Linear fractional transformation and planar hyperbolic geometry Combinatorics and combinatorial;

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Mathematics for Computer Graphics

, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader;

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A Gyrovector Space Approach to Hyperbolic Geometry

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some;

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A Gyrovector Space Approach to Hyperbolic Geometry

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some;

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