Multivector differential calculus

@article{Hitzer2002MultivectorDC,
  title={Multivector differential calculus},
  author={E. Hitzer},
  journal={Advances in Applied Clifford Algebras},
  year={2002},
  volume={12},
  pages={135-182}
}
  • E. Hitzer
  • Published 2002
  • Mathematics
  • Advances in Applied Clifford Algebras
Universal geometric calculus simplifies and unifies the structure and notation of mathematics for all of science and engineering, and for technological applications. This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions. The basic rules of multivector differentiation are derived explicitly, as well as a variety of basic… Expand
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  • 3
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  • 7
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  • 8
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2
3
...

References

SHOWING 1-10 OF 12 REFERENCES
Vector Differential Calculus
  • 13
  • Highly Influential
  • PDF
Antisymmetric Matrices Are Real Bivectors
  • 4
Space-Time Algebra
  • 746
New Foundations for Classical Mechanics
  • 573
  • PDF
Taschenbuch der Mathematik
  • 1,521
The Gospel according to Matthew
  • 203
  • PDF
Clifford Algebra to Geometric Calculus
  • 905
  • Highly Influential
Encyclopedic dictionary of mathematics (2nd ed.)
  • 102
...
1
2
...