Introduction to geometric algebra
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Publication:6616697
DOI10.1007/978-3-031-55985-3_1MaRDI QIDQ6616697
Dietmar Hildenbrand, Eckhard Hitzer
Publication date: 9 October 2024
Symbolic computation and algebraic computation (68W30) Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)
Cites Work
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- Applications of Clifford's geometric algebra
- Fundamental theorem of calculus
- Foundations of geometric algebra computing.
- Multivector differential calculus
- Conformal geometry for viewpoint change representation
- Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
- Geometric algebra with applications in engineering
- On the exterior calculus of invariant theory
- New foundations for classical mechanics.
- Investigations on the sums of squares.
- Principles of an algebraic calculus which contains as a special case the calculus of imaginary quantities.
- Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)
- Discrete wavelets with quaternion and Clifford coefficients
- Geometric algebra for conics
- Double conformal geometric algebra
- Multivector and multivector matrix inverses in real Clifford algebras
- Foundations of conic conformal geometric algebra and compact versors for rotation, translation and scaling
- New applications of Clifford's geometric algebra
- Vanishing vector rotation in quadric geometric algebra
- On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
- Clifford multivector toolbox (for MATLAB)
- Conformal Villarceau rotors
- Quaternion Fourier transform on quaternion fields and generalizations
- Clifford algebras and spinors.
- Supporting the Next Generation of "Stewards" in Mathematics Education
- Quaternionic Wavelets
- Gaalop—High Performance Parallel Computing Based on Conformal Geometric Algebra
- On the transposition anti-involution in real Clifford algebras I: the transposition map
- Matrix Analysis
- Structure of spin groups associated with degenerate Clifford algebras
- Möbius transformations in expressed through 2×2 matrices of clifford numbers
- An Introduction to Clifford Algebras and Spinors
- The Power of Geometric Algebra Computing
- Real Spinorial Groups
- Quaternion and Clifford Fourier Transforms
- Space-Time Algebra
- Generalized Exponentials through Appell sets in R[sup n+1 and Bessel functions]
- On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents
- On a class of geometric transformations.
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