A new approach to differential geometry using Clifford's geometric algebra / John Snygg.
Von: Snygg, John
.
Materialtyp: 
BuchVerlag: new york : springer science + business media ; 2012Beschreibung: xvii, 465 pages : illustrations ; 24 cm.ISBN: 9780817682828 (hbk. : alk. paper); 0817682821 (hbk. : alk. paper).Schlagwörter: Clifford algebras | DifferentialgeometrieDDC-Klassifikation: 512.57
Inhalte:
1. Introduction -- 2. Clifford algebra in Euclidean 3-space -- 3. Clifford algebra in Minkowski 4-space -- 4. Clifford algebra in flat n-space -- 5. Curved spaces -- 6. The Gauss-Bonnet formula -- 7. Some extrinsic geometry in En[superscript] -- 8. Non-Euclidean (hyperbolic) geometry -- 9. Ruled surfaces continued -- 10. Lines of curvature -- 11. Minimal surfaces -- 12. Some general relativity -- A.A matrix representation of a Clifford algebra -- B. Construction of matrix representations for dirac vectors -- C.A few terms of the Taylor's series for the urdī-copernican model for the outer planets -- D.A few terms of the Taylor's series for Kepler's orbits.
| Medientyp | Aktueller Standort | Sammlung | Signatur | Exemplarnr. | Status | Fälligkeitsdatum |
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6october 1104 | اهداء من دار النشر اقرأ | 512.57 S N (Regal durchstöbern) | 1 | Verfügbar |
Includes bibliographical references (pages 449-458) and index.
1. Introduction -- 2. Clifford algebra in Euclidean 3-space -- 3. Clifford algebra in Minkowski 4-space -- 4. Clifford algebra in flat n-space -- 5. Curved spaces -- 6. The Gauss-Bonnet formula -- 7. Some extrinsic geometry in En[superscript] -- 8. Non-Euclidean (hyperbolic) geometry -- 9. Ruled surfaces continued -- 10. Lines of curvature -- 11. Minimal surfaces -- 12. Some general relativity -- A.A matrix representation of a Clifford algebra -- B. Construction of matrix representations for dirac vectors -- C.A few terms of the Taylor's series for the urdī-copernican model for the outer planets -- D.A few terms of the Taylor's series for Kepler's orbits.
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