A History of Non-Euclidean Geometry
Subtitle: Evolution of the Concept of a Geometric Space
Publisher: Springer
Published: Sep 05, 2012
Format: paperback
Number of pages: 482
ISBN-13: 9781461264491
Description: 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.
Notes: Source title: A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space (Studies in the History of Mathematics and Physical Sciences (12))