A history of non-euclidean geometry : evolution of the concept of a geometric space / B.A. Rosenfeld ; translated by Abe Shenitzer with the editorial assistance of Hardy Grant.

Format:

Book

Author/Creator:

Rozenfelʹd, B. A. (Boris Abramovich)

Series:

Studies in the history of mathematics and physical sciences ; 12.

Studies in the history of mathematics and physical sciences ; 12

Standardized Title:

Istorii͡a neevklidovoĭ geometrii. English

Language:

English

Russian

Subjects (All):

Geometry, Non-Euclidean--History.

Geometry, Non-Euclidean.

History.

Physical Description:

ix, 471 pages : illustrations ; 25 cm.

Other Title:

History of noneuclidean geometry.

Place of Publication:

New York : Springer-Verlag, [1988]

Summary:

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:

Translation of: Istorii͡a neevklidovoĭ geometrii.

Includes index.

Bibliography: pages [428]-454.

ISBN:

0387964584 :

OCLC:

15550634