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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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Philosophy of Science

of geometrical space. I suggest that there is an epistemological break between The Euclidean geometry and non Euclidean geometries. My focus will be on;

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Introduction to Non-Euclidean Geometry

geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation;

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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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A Mathematical Journey to Relativity

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to;

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A Mathematical Journey to Relativity

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to;

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Selections from Science and Sanity, Second Edition

, and language, to coincide with non-Newtonian physics and non-Euclidean geometries.;

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Clifford Algebras

and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined;

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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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Geometries and Transformations

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and;

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Geometry

helps readers master Euclidean geometry, in preparation for non- Euclidean geometry. Focus on plane Euclidean geometry, reviewing high school;

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Geometry

constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries;

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Introduction to Projective Geometry

geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence;

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Geometry

space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean;

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Non-Euclidean Geometry

overwhelmingly important.Non-Euclidean Geometry first examines the various attempts to prove Euclid's parallel postulate-by the Greeks, Arabs, and;

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Recent Advances in Differential Geometry

The book narrates the saga of origin of geometry especially non-Euclidean and covers up to few generalizations of non-Euclidean geometry;

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Non-Euclidean Geometry and Curvature

-Euclidean geometries and curvature are essential to the understanding of low-dimensional spaces. This third and final volume aims to give the reader;

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Modern View of Geometry

Mathematical MonthlyElegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry;

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Non-Euclidean Geometry

ISBN Non-Euclidean Geometry: Fifth Edition. Taalversie: Engels, Geschreven door: Harold Scott MacDonald Coxeter, Aantal pagina's: 326;

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Geometry

proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean;

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Journey into Geometries

This unique book gives an informal introduction into the non-Euclidean geometries through a series of dialogues between a somewhat grown-up;

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An Introduction to Geometric Reasoning in Four Settings

plane in Hyperbolic Geometry. As a key difference of the non-Euclidean Geometries with Euclidean Geometry and with each other, there are no;

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Quantum Mechanics in Spaces of Constant Curvature

number of problems of quantum mechanics and field theory in simplest non-Euclidean spacetime models. The main attention is focused on new themes;

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Axiomatic Geometry

better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students;

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