Symbolic and Algebraic Computation

Klappentext

A criterion for detecting unnecessary reductions in the construction of Gr bner-bases.- Unification of commutative terms.- Canonicality in rule systems.- The application of symbolic algebra to physics A case of creeping flow.- Progress towards a solution of the equivalence problem in general relativity.- Symbol calculus by symbolic computation and semi-classical expansions.- An algorithm for the analytic evaluation of a class of integrals.- Fast computation of the rational hermite interpolant and solving toeplitz systems of equations via the extended Euclidean algorithm.- Approximate algorithms to derive exact solutions to systems of linear equations.- New recursive minor expansion algorithms, a presentation in a comparative context.- Systems of algebraic equations.- On the van der waerden criterion for the group of an equation.- Some computations related to torsion points on elliptic curves over number fields.- The computerisation of algebraic geometry.- Algebraic extensions of arbitrary integral domains.- On unit computation in real quadratic fields.- An algebraic form of a solution of a system of linear differential equations with constant coefficients.- Substitution methods for the automatic symbolic solution of differential equations of first order and first degree.- A semi-numeric difference algorithm.- Convergence behaviour of the Newton iteration for first order differential equations.- Probabilistic algorithms for verification of polynomial identities.- Probabilistic algorithms for sparse polynomials.- Non-modular computation of polynomial GCDS using trial division.- Product of symmetric and anti-symmetric polynomials.- Capabilities of the mumath-79 computer algebra system for the intel-8080 microprocessor.- CAMAC 1979.- The initial design of a vector based algebra system.- Hashing the key to rapid pattern matching.- A system for automatic generation of tensor algorithms and indicial tensor calculus, including substitution of sums.- Analysis of the p-adic construction of multivariate correction coefficiencts in polynomial factorization: Iteration vs. recursion.- A cellular decomposition algorithm for semialgebraic sets.- Gamma-algebra algorithms for canonical hypercomplex representations.- Factoring univariate integral polynomials in polynomial average time.- Symbolic-numeric interface: A review.- A note on methods for solving systems of polynomial equations with floating point coefficients.- An arbitrary precision real arithmetic package in REDUCE.- Symbolic preprocessing in interval function computing.- Approximate rational arithmetic systems: Analysis of recovery of simple fractions during expression evaluation.- Symbolic integration the dust settles?.- Integration of simple radical extensions.- Algorithms for the integration of algebraic functions.- An extension of liouville's theorem.- Integer matrices and Abelian groups.- An algorithm for the computation of conjugacy classes and centralizers in p-groups.- MODLISP: An introduction.- Extending interlisp for modularization and efficiency.- TLISP A transportable-lisp implemented in pcode.- Symbolic computing with compression of data structures: General observations, and a case study.- On the design of algebraic data structures with the approach of abstract data types.- Matching under commutativity.- ?-algebra algorithms for canonical hypercomplex representations.

Inhalt
A criterion for detecting unnecessary reductions in the construction of Gröbner-bases.- Unification of commutative terms.- Canonicality in rule systems.- The application of symbolic algebra to physics A case of creeping flow.- Progress towards a solution of the equivalence problem in general relativity.- Symbol calculus by symbolic computation and semi-classical expansions.- An algorithm for the analytic evaluation of a class of integrals.- Fast computation of the rational hermite interpolant and solving toeplitz systems of equations via the extended Euclidean algorithm.- Approximate algorithms to derive exact solutions to systems of linear equations.- New recursive minor expansion algorithms, a presentation in a comparative context.- Systems of algebraic equations.- On the van der waerden criterion for the group of an equation.- Some computations related to torsion points on elliptic curves over number fields.- The computerisation of algebraic geometry.- Algebraic extensions of arbitrary integral domains.- On unit computation in real quadratic fields.- An algebraic form of a solution of a system of linear differential equations with constant coefficients.- Substitution methods for the automatic symbolic solution of differential equations of first order and first degree.- A semi-numeric difference algorithm.- Convergence behaviour of the Newton iteration for first order differential equations.- Probabilistic algorithms for verification of polynomial identities.- Probabilistic algorithms for sparse polynomials.- Non-modular computation of polynomial GCDS using trial division.- Product of symmetric and anti-symmetric polynomials.- Capabilities of the mumath-79 computer algebra system for the intel-8080 microprocessor.- CAMAC 1979.- The initial design of a vectorbased algebra system.- Hashing the key to rapid pattern matching.- A system for automatic generation of tensor algorithms and indicial tensor calculus, including substitution of sums.- Analysis of the p-adic construction of multivariate correction coefficiencts in polynomial factorization: Iteration vs. recursion.- A cellular decomposition algorithm for semialgebraic sets.- Gamma-algebra algorithms for canonical hypercomplex representations.- Factoring univariate integral polynomials in polynomial average time.- Symbolic-numeric interface: A review.- A note on methods for solving systems of polynomial equations with floating point coefficients.- An arbitrary precision real arithmetic package in REDUCE.- Symbolic preprocessing in interval function computing.- Approximate rational arithmetic systems: Analysis of recovery of simple fractions during expression evaluation.- Symbolic integration the dust settles?.- Integration of simple radical extensions.- Algorithms for the integration of algebraic functions.- An extension of liouville's theorem.- Integer matrices and Abelian groups.- An algorithm for the computation of conjugacy classes and centralizers in p-groups.- MODLISP: An introduction.- Extending interlisp for modularization and efficiency.- TLISP A transportable-lisp implemented in pcode.- Symbolic computing with compression of data structures: General observations, and a case study.- On the design of algebraic data structures with the approach of abstract data types.- Matching under commutativity.- ?-algebra algorithms for canonical hypercomplex representations.