Projective Geometry, Vol. 1 (Classic Reprint) - Couverture souple

Oswald Veblen

9781330343876: Projective Geometry, Vol. 1 (Classic Reprint)

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ISBN 10 : 1330343875 ISBN 13 : 9781330343876

Editeur : Forgotten Books, 2018

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Explore the foundations of projective geometry and its unifying reach across mathematics. This volume presents the essential ideas that distinguish projective from metric geometry, while showing how analytic and synthetic methods interrelate. It lays a framework for understanding transformations, figures, and their relations in space.

The book emphasizes general concepts such as group actions, duality, and the role of coordinates, without relying on metric assumptions. It introduces homogeneous coordinates and the idea that many geometric theorems hold across different spaces, including finite and rational spaces. Pedagogically, the text aims to reveal the unity of mathematics through projective methods and their connections to later metric topics.

Foundational concepts: points, lines, planes, and their interrelations.

The emergence of projective transformations and duality as central tools.

Introduction to homogeneous coordinates and their use in representing geometric objects.

A pathway to later metric geometry and a broader view of geometric structure.

Ideal for readers seeking a rigorous, historically informed introduction to projective geometry and its place in the broader landscape of mathematics.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330343875
ISBN 13: 9781330343876
Reliure: Broch�
Nombre de pages: 359
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Projective Geometry, Vol. 1 (Classic Reprint)

Oswald Veblen, John Wesley Young

Edit� par Forgotten Books, 2018

ISBN 10 : 1330343875 ISBN 13 : 9781330343876

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book offers a fresh and rigorous look at the foundations of geometry, a subject that has captivated mathematicians for centuries. It delves into the historical development of geometry, noting how it evolved beyond traditional deductive methods in the 19th century. The author emphasizes the need to re-establish the logical framework of geometry, highlighting the complexities of linear order and continuity. The book adopts a novel approach, focusing on general projective geometry â� � a highly abstract and powerful system â� � in its first volume, delaying the more complex issues of order and continuity for a second volume. This allows readers to grasp the fundamental concepts and theorems of projective geometry without being bogged down by technicalities. By studying projective geometry, readers gain a deeper understanding of its relationship to other geometrical disciplines like Euclidean and non-Euclidean geometries. The author uses both synthetic and analytic methods to illuminate the unifying principles of geometry, revealing the powerful connections between different branches of mathematics. This book serves as a valuable resource for students and scholars seeking a thorough grounding in the principles and methods of projective geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781330343876_0

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