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Analytic Hyperbolic Geometry

approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a;

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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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Hyperbolic Geometry

. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those;

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London Mathematical Society Student Texts

demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied;

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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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Hyperbolic Geometry From A Local Viewpoint

plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an;

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Hyperbolic Geometry from a Local Viewpoint

plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an;

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Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

structures, bi-gyrogroups and bi-gyrovector spaces Helps readers to surmount boundaries between algebra, geometry and physics

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Hyperbolic Manifolds and Kleinian Groups

transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry;

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Barycentric Calculus In Euclidean And Hyperbolic Geometry

of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular;

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Hyperbolic Knot Theory

. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. By the 1980s, combining work of Mostow and;

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The Geometry of Special Relativity

deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the;

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Geometry

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that;

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Analytic Hyperbolic Geometry in N Dimensions

book provides new mathematical tools, such as hyperbolic simplexes, for the study of hyperbolic geometry in n dimensions. It also presents a;

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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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Sources of Hyperbolic Geometry

only because Beltrami rescued hyperbolic geometry from oblivion by proving it to be logically consistent, but because he gave it a concrete;

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Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid;

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Introduction to Classical Geometries

are used to convey better understanding of various concepts and results. Concepts of geometry are presented in a very simple way, so that they;

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On Beyond Euclid

seem to realize that Einstein's special theory of relativity is a model of hyperbolic geometry. The connection between Minkowski geometry and;

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College Geometry

Geometer s Sketchpad. The book's truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from;

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Geometry of Minkowski Space-Time

This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation;

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Differential Geometry and Relativity Theory

is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a;

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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma;

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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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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston;

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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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