Title | Clifford Algebras with Numeric and Symbolic Computations [electronic resource] / edited by Rafaล Abลamowicz, Josep M. Parra, Pertti Lounesto |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-8157-4 |
Descript | 340 p. 4 illus. online resource |
1. Verifying and Falsifying Conjectures -- Counterexamples in Clifford algebras with CLICAL -- 2. Differential Geometry, Quantum Mechanics, Spinors and Conformal Group -- The use of computer algebra and Clifford algebra in teaching mathematical physics -- General Clifford algebra and related differential geometry calculations with MATHEMATICA -- Pauli-algebra calculations in MAPLE V -- The generative process of space-time and strong interaction quantum numbers of orientation -- On a new basis for a generalized Clifford algebra and its application to quantum mechanics -- Vector continued fraction algorithms -- LUCY: A Clifford algebra approach to spinor calculus -- Computer algebra in spinor calculations -- Vahlen matrices for non-definite metrics -- 3. Generalized Clifford Algebras and Number Systems, Projective Geometry and Crystallography -- On Clifford algebras of a bilinear form with an antisymmetric part -- A unipodal algebra package for MATHEMATICA -- Octonion X-product orbits -- A commutative hypercomplex algebra with associated function theory -- On generalized Clifford algebras โ recent applications -- Oriented projective geometry with Clifford algebra -- The applications of Clifford algebras to crystallography using MATHEMATICA -- 4. Numerical Methods in Clifford Algebras -- Orthonormal basis sets in Clifford algebras -- Complex conjugation โ relative to what? -- Object-oriented implementations of Clifford algebras in C++: a prototype