Algebraic simplification in computer algebra: an analysis of bottom-up algorithms

Computer algebra - systems and algorithms for algebraic computation (2. ed.)

Well, someone can decide by themselves what they want to do and need to do but sometimes, that kind of person will need some computer algebra systems and algorithms for algebraic computation references. People with open minded will always try to seek for the new things and information from many sources. On the contrary, people with closed mind will always think that they can do it by their prin...

Partitioning of Algebraic Subexpressions in Computer Algebra

A popular technique to direct transformations of algebraic expressions in a computer algebra system such as Macsyma/Maxima or Mathematica is to first write out a pattern or template for some expected class of “input” expressions and use a built-in system routine to match it, identifying pieces and giving them names, then proceeding to compute with these parts. Sometimes this is not such a good ...

Algorithms for computer algebra

Computer Algebra Algorithms*

INTRODUCTION ...................................................................................................................... 1 ARITHMETIC ........................................................................................................................... 2 Integer and Polynomial Addition, Multiplication, and Division with Remainder ............. 2 Integer and Polynomial Greatest C...

Geometric Algebra - An Algebraic System for Computer Games and Animation

1. Proceedings from the Gatherings for Gardner Conference. Edited by a variety of people. To show their appreciation for Martin Gardner there have been several Gatherings for Gardner conferences which are gatherings of mathematicians, puzzlers, and magicians. The rst two gatherings were in 1993 and 1995. They had no proceedings. However, the ones since 1998 have. We give reviews of the six proc...