The Elements of Non-Euclidean Geometry (Classic Reprint) - Couverture souple

Duncan M''laren Young Sommerville

Couverture souple

ISBN 10 : 1440066582 ISBN 13 : 9781440066580

Editeur : Forgotten Books, 2018

Synopsis

Unlock the world of non-Euclidean geometry with clear, rigorous guidance .

This classic text offers a thorough introduction to non-Euclidean ideas, balancing mathematical detail with accessible explanation. This edition surveys the history and development of non-Euclidean geometry, then builds up to practical methods and problems. It includes exercises designed to reinforce understanding and to challenge serious students, teachers, and scholars who want to see how logical rigor can coexist with classroom clarity.

• Foundational ideas and historical milestones in non-Euclidean geometry
• Step-by-step development of elementary and analytical techniques
• Connections to projective representations and curved-space concepts
• Exercises and carefully chosen examples to deepen understanding

Ideal for readers who want a solid, working understanding of non-Euclidean geometry, from advanced students to educators seeking a rigorous, classroom-friendly treatment. This edition also serves as a valuable reference for those exploring the broader implications of geometry in math and science.

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.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440066582
• ISBN 13: 9781440066580
• Reliure: Broché
• Nombre de pages: 292
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