Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics

@inproceedings{Hestenes1985CliffordAT,
  title={Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics},
  author={David Hestenes and Garret Sobczyk and Julian Saville Marsh},
  year={1985}
}
1 / Geometric Algebra.- 1-1. Axioms, Definitions and Identities.- 1-2. Vector Spaces, Pseudoscalars and Projections.- 1-3. Frames and Matrices.- 1-4. Alternating Forms and Determinants.- 1-5. Geometric Algebras of PseudoEuclidean Spaces.- 2 / Differentiation.- 2-1. Differentiation by Vectors.- 2-2. Multivector Derivative, Differential and Adjoints.- 2-3. Factorization and Simplicial Derivatives.- 3 / Linear and Multilinear Functions.- 3-1. Linear Transformations and Outermorphisms.- 3-2… CONTINUE READING

Similar Papers

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 218 CITATIONS

Coordinate Free Integrals in Geometric Calculus

VIEW 10 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

Color Fourier-Mellin descriptors for image recognition

VIEW 6 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

The Shape of Differential Geometry in Geometric Calculus

  • Guide to Geometric Algebra in Practice
  • 2011
VIEW 8 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

A Mathematical Type for Physical Variables

  • AISC/MKM/Calculemus
  • 2008
VIEW 7 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Rigid-Body Pose and Position Interpolation using Geometric Algebra

VIEW 10 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

6DOF point cloud alignment using geometric algebra-based adaptive filtering

  • 2016 IEEE Winter Conference on Applications of Computer Vision (WACV)
  • 2016
VIEW 7 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

1996
2019

CITATION STATISTICS

  • 21 Highly Influenced Citations