Differential Forms in Geometric Calculus

@inproceedings{Hestenes1993DifferentialFI,
  title={Differential Forms in Geometric Calculus},
  author={David Hestenes},
  year={1993}
}
Geometric calculus and the calculus of differential forms have common origins in Grassmann algebra but different lines of historical development, so mathematicians have been slow to recognize that they belong together in a single mathematical system. This paper reviews the rationale for embedding differential forms in the more comprehensive system of Geometric Calculus. The most significant application of the system is to relativistic physics where it is referred to as Spacetime Calculus. The… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 10 REFERENCES

CLIFFORD ALGEBRA TO GEOMETRIC CALCULUS, A Unified Language to Mathematics and Physics, G

  • D. Hestenes, G. Sobczyk
  • Reidel Publ. Co.,
  • 1984
Highly Influential
24 Excerpts

Space-Time Algebra, Gordon and Breach, New York

  • D. Hestenes
  • 1966
Highly Influential
21 Excerpts

Semi-Riemannian Geometry, Academic Press, London

  • B. O’Neill
  • 1983
Highly Influential
3 Excerpts

On regular-analytic functions with values in a Clifford algebra,

  • R. Delanghe
  • Math. Ann
  • 1970
Highly Influential
3 Excerpts

Simplicial Calculus with Geometric Algebra,

  • G. Sobczyk
  • Clifford Algebras and Their Applications in…
  • 1992
1 Excerpt

Electrodynamics and the classical theory of fields and particles, Dover, New York

  • A. Barut
  • 1980
1 Excerpt

Multivector Calculus,

  • D. Hestenes
  • J. Math. Anal. and Appl
  • 1968
3 Excerpts

Multivector Functions,

  • D. Hestenes
  • J. Math. Anal. and Appl
  • 1968
3 Excerpts

Vector Analysis with an Introduction to Tensor

  • A. P. Wills
  • 1958
1 Excerpt

Similar Papers

Loading similar papers…