• In mathematics, geometric calculus extends geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to...
    16 KB (3,338 words) - 21:48, 12 August 2024
  • using the cross product, vector calculus does not generalize to higher dimensions, but the alternative approach of geometric algebra, which uses the exterior...
    21 KB (2,101 words) - 08:33, 12 September 2024
  • algebra with geometric interpretations. For several decades, geometric algebras went somewhat ignored, greatly eclipsed by the vector calculus then newly...
    93 KB (13,918 words) - 12:02, 31 August 2024
  • Geometry (redirect from Geometric)
    necessary precursor to the development of calculus and a precise quantitative science of physics. The second geometric development of this period was the systematic...
    100 KB (9,886 words) - 03:41, 24 August 2024
  • Thumbnail for Geometric series
    areas and volumes of geometric shapes (for instance calculating the area inside a parabola) and the early development of calculus, where they have been...
    65 KB (9,905 words) - 00:22, 18 September 2024
  • Thumbnail for David Hestenes
    Hestenes to study a geometric interpretation of Dirac matrices. He obtained his Ph.D. from UCLA with a thesis entitled Geometric Calculus and Elementary Particles...
    26 KB (2,891 words) - 01:33, 21 July 2024
  • Thumbnail for Geometric progression
    areas and volumes of geometric shapes (for instance calculating the area inside a parabola) and the early development of calculus, where they have been...
    9 KB (1,905 words) - 16:13, 19 September 2024
  • Thumbnail for Differential geometry
    Shape of Differential Geometry in Geometric Calculus" (PDF). In Dorst, L.; Lasenby, J. (eds.). Guide to Geometric Algebra in Practice. Springer Verlag...
    46 KB (5,912 words) - 19:23, 18 September 2024
  • calculus is not the ability to calculate these operations, but the realization that the two seemingly distinct operations (calculation of geometric areas...
    31 KB (4,869 words) - 23:43, 14 August 2024
  • Thumbnail for Curl (mathematics)
    limitations of vector calculus; on the other hand, when expressed as an antisymmetric tensor field via the wedge operator of geometric calculus, the curl generalizes...
    34 KB (4,936 words) - 14:18, 10 September 2024