Computer Algebra: EUROCAL'83, European Computer Algebra Conference London, England, March 28–30, 1983 Proceedings [1 ed.] 9780387128689, 0387128689, 3540128689, 9783540128687

Table of contents :
Introduction....Pages 1-1
Integration — What do we want from the theory?....Pages 2-11
The Euclidean algorithm for Gaussian integers....Pages 12-23
Multi polynomial remainder sequence and its application to linear diophantine equations....Pages 24-35
Towards mechanical solution of the Kahan ellipse problem I....Pages 36-44
Automatically determining symmetries of ordinary differential equations....Pages 45-54
Algebraic computation of the statistics of the solution of some nonlinear stochastic differential equations....Pages 55-67
Characterization of a linear differential system with a regular singularity....Pages 68-77
The Bath Concurrent LISP machine....Pages 78-90
The ecology of LISP or the case for the preservation of the environment....Pages 91-100
The design of Maple: A compact, portable, and powerful computer algebra system....Pages 101-115
LISP compilation viewed as provable semantics preserving program transformation....Pages 116-127
Implementing REDUCE on a microcomputer....Pages 128-136
A note on the complexity of constructing Gröbner-bases....Pages 137-145
Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations....Pages 146-156
The computation of the Hilbert function....Pages 157-167
An algorithm for constructing detaching bases in the ring of polynomials over a field....Pages 168-179
On the problem of Behā Eddīn 'Amūlī and the computation of height functions....Pages 180-193
A procedure for determining algebraic integers of given norm....Pages 194-202
Computation of integral solutions of a special type of systems of quadratic equations....Pages 203-213
Factorisation of sparse polynomials....Pages 214-224
Early detection of true factors in univariate polynomial factorization....Pages 225-235
On the complexity of finding short vectors in integer lattices....Pages 236-244
Factoring polynomials over algebraic number fields....Pages 245-254
The construction of a complete minimal set of contextual normal forms....Pages 255-266
A knowledge-based approach to user-friendliness in symbolic computing....Pages 267-274
Computer algebra and VLSI, prospects for cross fertilization....Pages 275-285
Code optimization of multivariate polynomial schemes: A pragmatic approach....Pages 286-300