In mathematics, geometric calculus extends geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to...

using the cross product, vector calculus does not generalize to higher dimensions, but the alternative approach of geometric algebra, which uses the exterior...

algebra with geometric interpretations. For several decades, geometric algebras went somewhat ignored, greatly eclipsed by the vector calculus then newly...

necessary precursor to the development of calculus and a precise quantitative science of physics. The second geometric development of this period was the systematic...

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...

areas and volumes of geometric shapes (for instance calculating the area inside a parabola). In the early development of modern calculus, they were paradigmatic...

calculus is not the ability to calculate these operations, but the realization that the two seemingly distinct operations (calculation of geometric areas...

areas and volumes of geometric shapes (for instance calculating the area inside a parabola). In the early development of modern calculus, they were paradigmatic...

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...

Shape of Differential Geometry in Geometric Calculus" (PDF). In Dorst, L.; Lasenby, J. (eds.). Guide to Geometric Algebra in Practice. Springer Verlag...