Clifford Algebras with Numeric and Symbolic Computations

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 — 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 — relative to what?.- Object-oriented implementations of Clifford algebras in C++: a prototype.