A History of Non-Euclidean Geometry. Evolution of the Concept of a Geometric Space. Translated by Abe Shenitzer. With the Editorial Assistance of Hardy Grant.

ROSENFELD, B[oris]. A.:

ISBN 10: 3540964584 / ISBN 13: 9783540964582

Published by New York, etc.: Springer-Verlag, 1988., 1988

About this Item

First Edition in English (1st Russian ed., 1976). xi, 471 pp; 114 figs. Original cloth. Near Fine, without dust jacket (as issued). Studies in the History of Mathematics and Physical Sciences, Vol. 12.

Seller Inventory # 16362

Bibliographic Details

• Title: A History of Non-Euclidean Geometry. Evolution of the Concept of a Geometric Space. Translated by Abe Shenitzer. With the Editorial Assistance of Hardy Grant.
• Publisher: New York, etc.: Springer-Verlag, 1988.
• Publication Date: 1988
• Language: English
• ISBN 10: 3540964584
• ISBN 13: 9783540964582
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Fine
• Dust Jacket Condition: No Jacket

About this title

Synopsis

This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry.