Find a copy in the library
Finding libraries that hold this item...
Details
| 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 p. : ill. ; 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. |
| More information: |
Abstract:
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.
Reviews
User-contributed reviews
Add a review and share your thoughts with other readers.
Be the first.
Add a review and share your thoughts with other readers.
Be the first.
Tags
Add tags for "A history of non-Euclidean geometry : evolution of the concept of a geometric space".
Be the first.
Similar Items
Related Subjects:(4)
- Geometry, Non-Euclidean -- History.
- Géométrie non-euclidienne -- Histoire.
- Niet-Euclidische meetkunde.
- Nichteuklidische Geometrie.
User lists with this item (1)
- Things to Check Out(6 items)
by ajmichaud updated 2012-12-04
