Elements Of Non-euclidean Geometry - Couverture rigide

Couverture rigide

ISBN 10 : 1296636267 ISBN 13 : 9781296636265

Editeur : Andesite Press, 2015

A propos du livre

Présentation de l'éditeur

Excerpt from The Elements of Non-Euclidean Geometry

The present work is an extension and elaboration of a course of lectures on Non-Euclidean Geometry which I delivered at the Colloquium held under the auspices of the Edinburgh Mathematical Society in August, 1913.

Non-euclidean geometry is now a well-recognised branch of mathematics. It is the general type of geometry of homogeneous and continuous space, of which euclidean geometry is a special form. The creation or discovery of such types has destroyed the unique character of euclidean geometry and given it a setting amongst geometrical systems. There has arisen, so to speak, a science of Comparative Geometry.

Special care has, therefore, been taken throughout this book to show the bearing of non-euclidean upon euclidean geometry; and by exhibiting euclidean geometry as a really degenerate form - in the sense in which a pair of straight lines is a degenerate conic - to explain the apparent want of symmetry and the occasional failure of the principle of duality, which only a study of non-euclidean geometry can fully elucidate.

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Présentation de l'éditeur

Renowned for its lucid yet meticulous exposition, this text follows the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations. It features the relation between parataxy and parallelism, the absolute measure, the pseudosphere, and Gauss' proof of the defect-area theorem. 1914 edition. Includes 133 figures.

Détails de l'édition

• Éditeur: Andesite Press
• Date d'édition: 2015
• ISBN 10: 1296636267
• ISBN 13: 9781296636265
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 294