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

Author: B A Rozenfelʹd
Publisher: New York : Springer-Verlag, ©1988.
Series: Studies in the history of mathematics and physical sciences, 12.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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.  Read more...
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Details

Genre/Form: History
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: B A Rozenfelʹd
ISBN: 0387964584 9780387964584 3540964584 9783540964582
OCLC Number: 15550634
Notes: Translation of: Istorii︠a︡ neevklidovoĭ geometrii.
Description: ix, 471 pages : illustrations ; 25 cm.
Contents: Spherical geometry --
The theory of parallels --
Geometric transformations --
Geometric algebra and the prehistory of multidimensional geometry --
Philosophy of space --
Lobac̆evskian geometry --
Multidimensional spaces --
The curvature of space --
Groups of transformations --
Application of algebras.
Series Title: Studies in the history of mathematics and physical sciences, 12.
Other Titles: Istorii︠a︡ neevklidovoĭ geometrii.
Responsibility: B.A. Rosenfeld ; translated by Abe Shenitzer with the editorial assistance of Hardy Grant.
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Abstract:

Investigates the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. This book covers the  Read more...

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