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Projective geometry and projective metrics /
The present book differs widely in content, methods, and point of view from traditional presentations of the subject. Herein more space is devoted to the discussion of the basic concepts of distance, motion, area and perpendicularity. In fact, the non-Euclidean geometries are reached via general met...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1953.
|
| Colección: | Pure and applied mathematics (Academic Press) ;
3. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 001 | SCIDIR_ocn316566904 | ||
| 003 | OCoLC | ||
| 005 | 20231117015244.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 090320s1953 nyua ob 001 0 eng d | ||
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| 019 | |a 299751108 |a 646775960 | ||
| 020 | |a 9780080873114 |q (electronic bk.) | ||
| 020 | |a 0080873111 |q (electronic bk.) | ||
| 020 | |z 9780123745804 | ||
| 020 | |z 0123745802 | ||
| 035 | |a (OCoLC)316566904 |z (OCoLC)299751108 |z (OCoLC)646775960 | ||
| 050 | 4 | |a QA3 |b .P8 vol. 3eb | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 023000 |2 bisacsh | |
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| 072 | 7 | |a MAT |x 039000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.57 |2 22 |
| 100 | 1 | |a Busemann, Herbert, |d 1905-1994. | |
| 245 | 1 | 0 | |a Projective geometry and projective metrics / |c by Herbert Busemann and Paul J. Kelly. |
| 260 | |a New York : |b Academic Press, |c 1953. | ||
| 300 | |a 1 online resource (viii, 332 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics; a series of monographs and textbooks ; |v v. 3 | |
| 504 | |a Includes bibliographical references (page 323), and index. | ||
| 505 | 0 | |a The projective plane -- Polarities and conic sections -- Affine geometry -- Projective metrics -- Non-Euclidean geometry -- Spatial geometry. | |
| 520 | |a The present book differs widely in content, methods, and point of view from traditional presentations of the subject. Herein more space is devoted to the discussion of the basic concepts of distance, motion, area and perpendicularity. In fact, the non-Euclidean geometries are reached via general metric spaces and the Hilbert problem of finding those geometries in which straight lines are the shortest connections. Of course, the general problem is only formulated here; but this leads naturally to the consideration of geometries other than the Euclidean and two non-Euclidean ones, and thus to the modern view in which the three classical geometries are very special, and closely related, cases of general geometric structures. The overall aim is to counteract the impression of geometry as an isolated and static subject, and to present its methods and essential content as part of modern mathematics. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Geometry, Projective. | |
| 650 | 0 | |a Geometry, Non-Euclidean. | |
| 650 | 0 | |a Elliptic space. | |
| 650 | 0 | |a Hyperbolic spaces. | |
| 650 | 6 | |a G�eom�etrie projective. |0 (CaQQLa)201-0069551 | |
| 650 | 6 | |a G�eom�etrie non-euclidienne. |0 (CaQQLa)201-0005575 | |
| 650 | 6 | |a Espace elliptique. |0 (CaQQLa)000259824 | |
| 650 | 6 | |a Espaces hyperboliques. |0 (CaQQLa)201-0215884 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a Hyperbolic spaces |2 fast |0 (OCoLC)fst00965723 | |
| 650 | 7 | |a Geometry, Non-Euclidean |2 fast |0 (OCoLC)fst00940928 | |
| 650 | 7 | |a Elliptic space |2 fast |0 (OCoLC)fst00908175 | |
| 650 | 7 | |a Geometry, Projective |2 fast |0 (OCoLC)fst00940936 | |
| 650 | 1 | 7 | |a Projectieve meetkunde. |2 gtt |
| 700 | 1 | |a Kelly, Paul J., |d 1915-1995, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Busemann, Herbert, 1905- |t Projective geometry and projective metrics. |d New York : Academic Press, 1953 |w (DLC) 52013363 |w (OCoLC)525581 |
| 830 | 0 | |a Pure and applied mathematics (Academic Press) ; |v 3. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123745804 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00798169&volume=3 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00798169/3 |z Texto completo |