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

by Snygg, John

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Title Statements

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

Edition Statements

Publication Date:©2012

Publication Statements

Publisher(s):Birkhäuser/Springer
Place of Publication:New York
Language:eng
Publication Date:©2012

The Physical Object

Description:1 online resource (xvii, 465 pages) : : illustrations.

Edition Identifiers

oclc:ocn988831782
LC Classification:QA199
Dewey Decimal:512.57

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.