A history of non-euclidean geometry: evolution of the concept of a geometric space

A history of non-euclidean geometry: evolution of the concept of a geometric space
Автор
 
Год
 
Страниц
 
483
ISBN
 
ISBN10:0387964584
Издатель
 
Springer

Описание:

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.

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