EUROCAL '87 : European Conference on Computer Algebra, Leipzig, GDR, June 2-5, 1987. Proceedings. 1st ed. 1989

種類:

電子ブック

責任表示:

edited by James H. Davenport

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989

著者名:

• Davenport, James H.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Computer Science ; 378

ISBN:

9783540482079 [3540482075]    

注記:

Computer algebra in physical research of jinr -- Complexity of quantifier elimination in the theory of ordinary differential equations -- Groups and polynomials -- Symbolic computation in relativity theory -- A zero structure theorem for polynomial-equations-solving and its applications -- Some algorithms of rational function algebra -- The computer algebra system simath -- Converting SAC-2 code to lisp -- Computer algebra system for continued fractions manipulation -- Computing a lattice basis from a system of generating vectors -- Expression optimization using high-level knowledge -- Catfact: Computer algebraic tools for applications of catastrophe theory -- Computer algebra application for investigating integrability of nonlinear evolution systems -- Computer classification of integrable seventh order MKdV — Like equations -- Symbolic computation and the finite element method -- Application of lie group and computer algebra to nonliner mechanics -- Hierarchical symbolic computations in the analysis of larg
This is the sixth in a series of conference proceedings of international conferences on computer algebra held in Europe. All the preceding ones have also been published as Lecture Notes in Computer Science. They contain original research material not published elsewhere, and a few invited lectures summarising the state of the art. Computer algebra is the science of using computers to do algebraic calculations, rather than the purely arithmetic calculations which we all know computers can do. These calculations may be polynomial-like calculations - one thread of the conference was devoted to polynomial algorithms - or may relate to other areas of mathematics such as integration, the solution of differential equations, or geometry - a second thread was devoted to those topics. The calculations can be applied in a wide range of scientific and engineering subjects, and in branches of mathematics. Physics has benefitted especially from these calculations, and the proceedings contain many papers on this, and also p

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