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A new approach to differential geometry using Clifford's geometric algebra

Author: John Snygg
Publisher: New York ; London : Birkhäuser/Springer, [2012] ©2012
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)751796165
(OCoLC)740624826
(OCoLC)918945601
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Snygg
OCLC Number: 988831782
Description: 1 online resource (xvii, 465 pages) : illustrations.
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.
Responsibility: John Snygg.

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