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Clifford Algebras with Numeric and Symbolic Computations Book

Clifford Algebras with Numeric and Symbolic Computations
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Clifford Algebras with Numeric and Symbolic Computations, This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathem, Clifford Algebras with Numeric and Symbolic Computations
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  • Clifford Algebras with Numeric and Symbolic Computations
  • Written by author Rafal Ablamowicz
  • Published by Birkhauser Verlag, 4/30/2013
  • This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathem
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Authors

Preface
List of Contributors
Counterexamples in Clifford algebras with CLICAL 3
The use of computer algebra and Clifford algebra in teaching mathematical physics 33
General Clifford algebra and related differential geometry calculations with MATHEMATICA 57
Pauli-algebra calculations in MAPLE V 69
The generative process of space-time and strong interaction quantum numbers of orientation 83
On a new basis for a generalized Clifford algebra and its application to quantum mechanics 101
Vector continued fraction algorithms 111
LUCY: A Clifford algebra approach to spinor calculus 121
Computer algebra in spinor calculations 145
Vahlen matrices for non-definite metrics 155
On Clifford algebras of a bilinear form with an antisymmetric part 167
A unipodal algebra package for MATHEMATICA 189
Octonion X-product orbits 201
A commutative hypercomplex algebra with associated function theory 213
On generalized Clifford algebras - recent applications 229
Oriented projective geometry with Clifford algebra 233
The applications of Clifford algebras to crystallography using MATHEMATICA 251
Orthonormal basis sets in Clifford algebras 269
Complex conjugation - relative to what? 285
Object-oriented implementations of Clifford algebras in C++: a prototype 295
Index 317


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Clifford Algebras with Numeric and Symbolic Computations, This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathem, Clifford Algebras with Numeric and Symbolic Computations

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Clifford Algebras with Numeric and Symbolic Computations, This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathem, Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

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Clifford Algebras with Numeric and Symbolic Computations, This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathem, Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

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