A new approach to differential geometry using Clifford's geometric algebra / John Snygg.

Author/creator Snygg, John
Format Electronic
Publication InfoNew York ; London : Birkhäuser/Springer, [2012]
Descriptionxvii, 465 pages : illustrations ; 24 cm
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Subjects

Contents 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.
Bibliography noteIncludes bibliographical references (pages 449-458) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2011940217
ISBN9780817682828 (hbk. : alk. paper)
ISBN0817682821 (hbk. : alk. paper)

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